Generalized multivariate shrinkage estimators in mpss sampling

Muqaddas Javed; Zahoor Ahmad

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Generalized multivariate shrinkage estimators in mpss sampling

Author(s)

Muqaddas Javed Department of Statistics, University of Gujrat,Gujrat,Pakistan

Zahoor Ahmad Department of Mathematics and Statistics, University of Lahore Sargodha,,Pakistan

Abstract

In this paper, we suggested generalized shrinkage regression, ratio and regression-cumratio estimators for population mean in multi-phase stratified systematic (MPSS) sampling design using multi-auxiliary information when information on all auxiliary variables is not available for population. The expressions of mean square error and bias are derived for suggested estimators. The extension of these estimators in bivariate and multivariate is also discussed and some important special cases are deduced from the general class. An empirical and simulation studies are conducted to assess the performance of proposed design and estimators and found suggested MPSS design perform better than estimators of multi-phase simple random sampling estimators.

Publication Details

Page(s) 195-212

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 39, Issue: 3, Year: 2023

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Keywords

Stratified random sampling, Shrinkage estimator, regression type estimator, multi-phase sampling, systematic sampling, mixed sampling design.

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