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Estimation of Population Mean in Two Stage Design using Double Sampling for Stratification and Multiauxiliary Information

by Monika Saini, Shashi Bahl
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 47 - Number 9
Year of Publication: 2012
Authors: Monika Saini, Shashi Bahl
10.5120/7216-0011

Monika Saini, Shashi Bahl . Estimation of Population Mean in Two Stage Design using Double Sampling for Stratification and Multiauxiliary Information. International Journal of Computer Applications. 47, 9 ( June 2012), 17-21. DOI=10.5120/7216-0011

@article{ 10.5120/7216-0011,
author = { Monika Saini, Shashi Bahl },
title = { Estimation of Population Mean in Two Stage Design using Double Sampling for Stratification and Multiauxiliary Information },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 47 },
number = { 9 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 17-21 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume47/number9/7216-0011/ },
doi = { 10.5120/7216-0011 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:41:57.049256+05:30
%A Monika Saini
%A Shashi Bahl
%T Estimation of Population Mean in Two Stage Design using Double Sampling for Stratification and Multiauxiliary Information
%J International Journal of Computer Applications
%@ 0975-8887
%V 47
%N 9
%P 17-21
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

For estimating the population mean of the heterogeneous population, when sampling frame in strata and the strata weight are not defined, we have proposed new difference and ratio estimators using double sampling for stratification and auxiliary information in two stage design. The expression for bias and variances of the proposed estimators have been obtained based on double sampling for stratification approach and comparison have been made with estimator under unstratified double sampling. In addition, we support these theoretical results by an empirical study.

References
  1. Ige, A. F. and Tripathi, T. P. 1987. On double sampling for stratification and use of auxiliary information. Jour. Ind. Soc. Ag. Stat. 39, 191-201.
  2. Prabha, S. 1992. On Some Estimation Problems in Sampling Using Multiauxiliary Information. Ph. D Thesis, M. D. University, Rohtak
  3. Rao, J. N. K. 1973. On double sampling for stratification and analytical surveys. Biometrika 60, 125-133.
  4. Shabbir, J. and Gupta S. 2011. On Estimating Finite Population Mean in Simple and Stratified Random Sampling. Commun. in Stat. 40, 199-212.
  5. Singh, H. P. and Vishwakarma, G. K. 2010. A general procedure for estimating the population mean in Stratified sampling using auxiliary information, Metron, vol LXVIII, no. 1, 47-65.
  6. Sukhatme, P. V. , Sukhatme, B. V. Sukhatme, S. and Ashok, C. 1984. Sampling Theory of Surveys with Applications, Iowa State University Press, Ames, Iowa.
  7. Tripathi, T. P. 1976. On double sampling for multi- -variate ratio and difference methods of estimation. Jour. Ind. Soc. Agr. Stat. 38, 33-34.
  8. Tripathi, T. P. and Bahl, S. 1991. Estimation of mean using double Sampling for Stratification and Multi auxiliary Information, Common. Statist. Theory Meth. . 20, 8, 2589-2602.
Index Terms

Computer Science
Information Sciences

Keywords

Double Sampling For Stratification Two Stage Design Auxiliary Information Difference (d) And Ratio (r) Estimators

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