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Concomitant record ranked set sampling

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  • Jerin Paul
  • P. Yageen Thomas

Abstract

In this work, we define a new method of ranked set sampling (RSS) which is suitable when the characteristic (variable) Y of primary interest on the units is jointly distributed with an auxiliary characteristic X on which one can take its measurement on any number of units, so that units having record values on X alone are ranked and retained for making measurement on Y. We name this RSS as concomitant record ranked set sampling (CRRSS). We propose estimators of the parameters associated with the variable Y of primary interest based on observations of the proposed CRRSS which are applicable to a very large class of distributions viz. Morgenstern family of distributions. We illustrate the application of CRRSS and our estimation technique of parameters, when the basic distribution is Morgenstern-type bivariate logistic distribution. A primary data collected by CRRSS method is demonstrated and the obtained data used to illustrate the results developed in this work.

Suggested Citation

  • Jerin Paul & P. Yageen Thomas, 2017. "Concomitant record ranked set sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(19), pages 9518-9540, October.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:19:p:9518-9540
    DOI: 10.1080/03610926.2016.1213286
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