Development of Estimation Procedure of Population Mean in Two-Phase Stratified Sampling

Partha Parichha, Dr. Kajla Basu and Arnab Bandyopadhyay

A chapter in Statistical Methodologies from IntechOpen

Abstract: This article describes the problem of estimation of finite population mean in two-phase stratified random sampling. Using information on two auxiliary variables, a class of product to regression chain type estimators has been proposed and its characteristic is discussed. The unbiased version of the proposed class of estimators has been constructed and the optimality condition for the proposed class of estimators is derived. The efficacy of the proposed methodology has been justified through empirical investigations carried over the data set of natural population as well as the data set of artificially generated population. The survey statistician may be suggested to use it.

Keywords: stratified random sampling; double sampling; auxiliary variables; chain type estimators; bias; mean square error; efficiency; AMS 2000 Mathematics Subject Classification: 62D05 (search for similar items in EconPapers)
JEL-codes: C10 (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:ito:pchaps:175291

DOI: 10.5772/intechopen.82850

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