EDF-based tests of exponentiality in pair ranked set sampling
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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.
KeywordsRanked set sampling Pair ranked set sampling Goodness of fit test Exponential distribution Cumulative distribution function estimation
Mathematics Subject Classification62D05 62G10
The author is thankful to two anonymous referees for their valuable comments and suggestions.
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