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Modified probability proportional to size sampling

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  • Kalyan Joshi
  • M. B. Rajarshi

Abstract

Probability proportional to size (PPS) sampling is one of the most widely used designs for finite populations. We propose modifications to PPS designs with replacement and Rao–Hartley–Cochran design without replacement. These modifications consist of division of the population into two groups. Units in the first group are included in the sample with probability one. Under certain conditions, in both with and without replacement designs, the estimator of the population total based on the modified PPS sampling design is shown to be better than the corresponding estimator based on a PPS design. We illustrate our modification by an example and an application.

Suggested Citation

  • Kalyan Joshi & M. B. Rajarshi, 2018. "Modified probability proportional to size sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(4), pages 805-815, February.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:4:p:805-815
    DOI: 10.1080/03610926.2016.1139131
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