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EDF-based tests of exponentiality in pair ranked set sampling

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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.

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Acknowledgements

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

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Authors and Affiliations

  1. Department of Statistics, University of Isfahan, Isfahan, 81746-73441, Iran

    Ehsan Zamanzade

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  1. Ehsan Zamanzade
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Correspondence to Ehsan Zamanzade.

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Zamanzade, E. EDF-based tests of exponentiality in pair ranked set sampling. Stat Papers 60, 2141–2159 (2019). https://doi.org/10.1007/s00362-017-0913-9

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  • DOI: https://doi.org/10.1007/s00362-017-0913-9

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