An efficient dual to ratio-cum-product estimator for the population mean in stratified random sampling

Rohini Yadav¹

1. Department of Statistics, Amity Institute of Applied Sciences (Amity University), Noida, India.

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.2 , pp.13-20, Apr-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i2.1320

Online published on Apr 30, 2018

Copyright © Rohini Yadav . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

644 Views    423 Downloads    165 Downloads

Abstract :
his paper deals with the problem of estimating the population mean of the study variable y with the help of the auxiliary variables under stratified random sampling. The estimator of dual to ratio-cum-product estimator for the population mean of the study variable has been suggested. The properties of the suggested estimator have been studied under large sample approximation. It has been shown that the suggested estimator is more efficient than other considered estimators. To judge the merits of the proposed estimator, an empirical study is given in the support of the present study.

Key-Words / Index Term :
Study variable, auxiliary variable, stratified random sampling, dual to ratio estimator, dual to product estimator, bias and mean squared error

References :
[1] W.G. Cochran, “The estimation of the yields of cereal experiments by sampling for the ratio gain to total produce”, Jour. Agri. Soc, 30, pp. 262-275, 1940.
[2] D.S. Robson, 1957, “Applications of multivariate polykays to the theory of unbiased ratio type estimation”,
Jour. Amer. Statst. Assoc., 52, pp. 511-522, 1957.
[3] B.V.S. Sisodia and V.K. Dwivedi, “A modified ratio estimator using coefficient of variation of auxiliary variable”, Journal Indian Society Agricultural Statistics, 33, pp. 13-18, 1981.
[4] H.P. Singh, R. Tailor, R. Tailor and M. Kakran, “An improved estimation of population mean using power transformation”, Journal Indian Society Agricultural Statistics, 58, pp. 223–230, 2004.
[5] L.N. Upadhyaya and H.P. Singh, “Use of transformed auxiliary variable in estimating the finite population mean”, Biometrical Journal, 41, pp. 627–636, 1999.
[6] L.N. Upadhyaya, H.P. Singh, S. Chatterjee and R. Yadav, “A Generalized Family of Transformed Ratio-Product Estimators of Finite Population Mean in Sample Surveys”, Model Assisted Statistics and Applications, 6, 2, pp. 137-150, 2011.
[7] L.N. Upadhyaya, H.P. Singh, S. Chatterjee and R. Yadav, “Improved Ratio and Product Exponential type Estimators for Finite Population Mean in Sample Surveys”, Journal of Statistical Theory and Practice, 5, 2, pp. 285-302, 2011.
[8] R. Yadav, L.N. Upadhyaya, H.P. Singh and S. Chatterjee, “Almost Unbiased Ratio and Product Type Exponential Estimators”, Statistics in Transition, 13, 3, pp. 537-550, 2012.
[9] T. Srivenkataramana, “A dual of ratio estimator in sample surveys”, Biometrika, 67, 1, pp. 199-204, 1980.
[10] S. Bandyopadhyay, “Improved ratio and product estimators”, Sankhya: Indian J. Stat., 42, pp. 45-49, 1980.
[11] C. Kadilar and H. Cingi, “A new estimator in stratified random sampling”, Commun. Statist. Theor. Meth., 34, pp. 597-602, 2005.
[12] H.P. Singh and G.K. Vishwakarma, “ A general procedure for estimating the population mean in stratified sampling using auxiliary information”, Metron, LXVII, 1, pp. 47-65, 2010.
[13] R. Tailor and M. Chouhan, “Improved ratio-cum-product type exponential estimator of population mean in stratified random sampling”, International Journal of Scientific Research in Mathematical and Statistical Sciences, 4, 3, pp. 19-29, 2017.
[14] R. Tailor, S. Chouhan, R. Tailor and N. Garg, “A ratio-cum-product estimator of population mean in stratified random sampling using two auxiliary variables”, Statistica, LXXII, 3, pp. 287-297, 2012.
[15] R. Yadav, L.N. Upadhyaya, H.P. Singh and S. Chatterjee, “Improved Ratio and Product Exponential type Estimators for Finite Population Mean in Stratified Random Sampling” Communications in Statistics: Theory & Methods (Taylor & Francis), 43, 15, pp. 3269-3285, 2014.
[16] M.H. Hansen, W.N. Hurwitz and M. Gurney, “Problem and methods of the sample survey of business", JASA, 41, pp. 174-189, 1946.
[17] K.S. Kushwaha, L.N. Upadhyaya and S.P. Dubey, “A dual to ratio estimator in stratified random sampling”, Proc. Math. Soc., 6, pp. 11-15, 1990.
[18] R. Tailor, N.K. Jatwa, R. Tailor and N. Garg, “Dual to ratio and product type exponential estimators in stratified random sampling using two auxiliary variates”, Journal of Reliability and Statistical Studies, 6, 2, pp. 115-126, 2013.
[19] M.N. Murthy, “Sampling theory and methods”, Statistical Publishing Society, Calcutta, India 228, 1967.
[20] National Horticulture Board. Available at https://www.google.co.in/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=National+Horticulture+Board]&*