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

In: Statistical Methodologies

Author

Listed:
  • Partha Parichha
  • Dr. Kajla Basu
  • Arnab Bandyopadhyay

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.

Suggested Citation

  • Partha Parichha & Dr. Kajla Basu & Arnab Bandyopadhyay, 2020. "Development of Estimation Procedure of Population Mean in Two-Phase Stratified Sampling," Chapters, in: Jan Peter Hessling (ed.), Statistical Methodologies, IntechOpen.
    • Handle: RePEc:ito:pchaps:175291
    DOI: 10.5772/intechopen.82850
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    File URL: https://www.intechopen.com/chapters/65113
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    More about this item

    Keywords

    stratified random sampling; double sampling; auxiliary variables; chain type estimators; bias; mean square error; efficiency; AMS 2000 Mathematics Subject Classification: 62D05;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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