Volume : IV, Issue : V, June - 2014 MODIFIED RATIO TYPE ESTIMATOR OF TWO POPULATION MEANS IN STRATIFIED SAMPLINGRafia Jan, S. Maqbool
Aquil Ahmad
Asra Nazir By : Laxmi Book Publication Abstract : A modified ratio estimator is proposed for ratio of two population means using auxiliary information in stratified random sampling. Bias and mean square error expression are obtained and the proposed estimator is compared theoretically and empirically with classical estimator. Keywords : Article : Cite This Article : Rafia Jan, S. Maqbool
Aquil Ahmad
Asra Nazir (2014). MODIFIED RATIO TYPE ESTIMATOR OF TWO POPULATION MEANS IN STRATIFIED SAMPLING. Indian Streams Research Journal, Vol. IV, Issue. V, http://isrj.org/UploadedData/4846.pdf References : - variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- population parameters. Sankhya, B, 27, 321-328.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- population parameters. Sankhya, B, 27, 321-328.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- population parameters. Sankhya, B, 27, 321-328.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- population parameters. Sankhya, B, 27, 321-328.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- population parameters. Sankhya, B, 27, 321-328.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- population parameters. Sankhya, B, 27, 321-328.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- population parameters. Sankhya, B, 27, 321-328.
- population parameters. Sankhya, B, 27, 321-328.
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- population parameters. Sankhya, B, 27, 321-328.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- population parameters. Sankhya, B, 27, 321-328.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- population parameters. Sankhya, B, 27, 321-328.
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- population parameters. Sankhya, B, 27, 321-328.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- population parameters. Sankhya, B, 27, 321-328.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- population parameters. Sankhya, B, 27, 321-328.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- population parameters. Sankhya, B, 27, 321-328.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Sankhya, B, 27, 321-328.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- population parameters. Sankhya, B, 27, 321-328.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- population parameters. Sankhya, B, 27, 321-328.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- population parameters. Sankhya, B, 27, 321-328.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- population parameters. Sankhya, B, 27, 321-328.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Ray, S.K., & Singh, R.K. (1985). Some estimators for the ratio and product of
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- population parameters. Sankhya, B, 27, 321-328.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- population parameters. Sankhya, B, 27, 321-328.
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- population parameters. Sankhya, B, 27, 321-328.
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Murthy & Singh, M.P. (1965). On the estimation of ratio and product of the
- population parameters. Journal of the Indian Society of Agricultural Statistics, 37 (1), 1-10.
- proportion. Applied Mathematical Science, 3(35), 1739-1744.
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- variable for estimating the ratio of two population means in sample surveys. Model Assisted. Statistics and Applications, 1(1), IOS Press, 1-5
- means and ratios using supplementary. Statistica. Neerlandica, 39(3), 309-318.
- Upadhyaya, L.N., Singh, H.P., & Vos, J.W.E. (1985). On the estimation of population
- Sindhu, S.S., Tailor, R., & Singh, S. (2009). On the estimation of population
- Singh, G.N., & Rani, R. (2005, 2006). Some linear transformations on auxiliary
- information for estimating ratio of two finite means. Gujarat Statistical Review, 12(2), 7-16.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
- Upadhyaya, L.N., & Singh, H.P., (1985). A class of estimators using auxiliary
- (product) of two population parameters. Sankhya, C, 40 (2), 156-166.
- Rao, J.N.K., & Pereira, N.P. (1968). On double ratio estimators. Sankhya, A, 30, 83-90.
- Shah, S.M., & Shah, D.N. (1978). Ratio-cum-product estimator for estimating ratio
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