A unified approach to variations of ranked set sampling with applications

Kaushik Ghosh and Ram Tiwari

Journal of Nonparametric Statistics, 2009, vol. 21, issue 4, 471-485

Abstract: In this article, we develop a general theory of inference using data collected from different variations of ranked set sampling. Such variations include balanced and unbalanced ranked set sampling, balanced and unbalanced k-tuple ranked set sampling, nomination sampling, simple random sampling, as well as a combination of them. We provide methods of estimating the underlying distribution function as well as its functionals and establish the asymptotic properties of the resulting estimators. The results so obtained can be used to develop nonparametric procedures for one- and two-sample problems. Some investigation of the small-sample properties of these estimators is also provided. We conclude with an application to a real-life example.

Date: 2009
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Citations: View citations in EconPapers (2)

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DOI: 10.1080/10485250802652077

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