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Statistical Papers

, Volume 60, Issue 6, pp 2141–2159 | Cite as

EDF-based tests of exponentiality in pair ranked set sampling

  • Ehsan ZamanzadeEmail author
Regular Article
  • 113 Downloads

Abstract

In this paper, we develop a nonparameteric cumulative distribution function (CDF) estimator for pair ranked set sampling (PRSS) design. We show that the proposed estimator is consistent and establish its asymptotic normality. We then use the proposed estimator for developing some goodness of fit tests for testing exponentiality. We show that the proposed tests are more powerful than their counterparts in simple random sampling (SRS) and ranked set sampling (RSS) schemes.

Keywords

Ranked set sampling Pair ranked set sampling Goodness of fit test Exponential distribution Cumulative distribution function estimation 

Mathematics Subject Classification

62D05 62G10 

Notes

Acknowledgements

The author is thankful to two anonymous referees for their valuable comments and suggestions.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of StatisticsUniversity of IsfahanIsfahanIran

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