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Improved Ratio-Cum-Product Type Exponential Estimator of Population Mean in Stratified Random Sampling

Rajesh Tailor1 , Manish Chouhan2

Section:Review Paper, Product Type: Isroset-Journal
Vol.4 , Issue.3 , pp.19-29, Jun-2017


Online published on Jun 30, 2017


Copyright © Rajesh Tailor, Manish Chouhan . 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.
 

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IEEE Style Citation: Rajesh Tailor, Manish 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, Vol.4, Issue.3, pp.19-29, 2017.

MLA Style Citation: Rajesh Tailor, Manish 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 (2017): 19-29.

APA Style Citation: Rajesh Tailor, Manish Chouhan, (2017). 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), 19-29.

BibTex Style Citation:
@article{Tailor_2017,
author = {Rajesh Tailor, Manish Chouhan},
title = {Improved Ratio-Cum-Product Type Exponential Estimator of Population Mean in Stratified Random Sampling},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2017},
volume = {4},
Issue = {3},
month = {6},
year = {2017},
issn = {2347-2693},
pages = {19-29},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=369},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=369
TI - Improved Ratio-Cum-Product Type Exponential Estimator of Population Mean in Stratified Random Sampling
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Rajesh Tailor, Manish Chouhan
PY - 2017
DA - 2017/06/30
PB - IJCSE, Indore, INDIA
SP - 19-29
IS - 3
VL - 4
SN - 2347-2693
ER -

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Abstract :
In this chapter suggests dual to ratio-cum-product type exponential estimator in stratified random sampling. In fact, Srivenkataramana (1980) transformation has been used on Tailor and Chouhan (2013) estimator. The bias and mean squared error of the suggested estimator have been obtained upto the first degree of approximation. The suggested estimator has been compared with usual unbiased estimator in stratified random sampling, combined ratio and product estimators, dual to combined ratio and product estimators, Singh et al. (2008) ratio and product type exponential estimators and dual to ratio and product type exponential estimators given by Tailor et al. (2013). An empirical study shows the performance of the suggested estimator.

Key-Words / Index Term :
Population Mean, Ratio and product estimator, Correlation coefficient, Bias , Mean squared error.

References :
[1]. S. Bahl, R.K. Tuteja, “Ratio and product type exponential estimators”, Information and optimization science, Vol.12, Issue.1,1pp.59-163, 1991.
[2]. H.P. Singh, R. Tailor, S. Singh, J.M. Kim, “A modified estimator of population mean using power transformation”, Statistical Papers, Vol.49, Issue.1, pp.37-58, 2008.
[3]. H.P. Singh, L.N. Upadhyaya, R. Tailor, “Ratio-cum-product type exponential estimator”, Statistica, Vol.69, Issue.4, pp.299-310, 2009.
[4]. M.P. Singh, “Ratio-cum-product method of estimation”, Metrika, Vol.12, Issue.1, pp.34-43, 1967.
[5]. T. Srivenkataramana, “A dual of ratio estimator in sample surveys”, Biom. J., Vol.67, Issue.1, pp.199-204, 1980.
[6]. R. Tailor, S. Chouhan, “Ratio-cum-product type exponential estimator of finite population mean in stratified random sampling”, Comm. Statist. Theo. & Meth., Vol.43, Issue.2, pp.343-354, 2013.
[7]. R. Tailor, S. Chouhan, R. Tailor, N. Garg, “A ratio-cum-product estimator of population mean in stratified random sampling using two auxiliary variables”, Statistica, Vol.72, Issue.3, pp.287-297, 2012.
[8]. R. Tailor, N. Jatwa, R. Tailor, N. Garg, “ Dual to ratio and product type exponential estimators in stratified random sampling using two auxiliary variates”,. J. Rel. & Statist. Studs., Vol.6, Issue.2, pp.45-126, 2013.
[9]. M.H. Hansen, WN. Hurwitz, M. Gurney, “Problems and methods of the sample survey of business”,. J. Amer. Statist. Assoc., Vol.41, Issue.234, 173-189, 1946.

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