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Performances of some goodness-of-fit tests for sampling designs in ranked set sampling

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ABSTRACT In this study, we consider different sampling designs of ranked set sampling (RSS) and give empirical distribution function (EDF) estimators for each sampling designs. We provide comparative graphs for… Click to show full abstract

ABSTRACT In this study, we consider different sampling designs of ranked set sampling (RSS) and give empirical distribution function (EDF) estimators for each sampling designs. We provide comparative graphs for the EDFs. Using these EDFs, power of five goodness-of-fit tests are obtained by Monte Carlo simulations for Tukey's g–h distributions under RSS and simple random sampling (SRS). Performances of these tests are compared with the tests based on the SRS. Also, critical values belong to these tests are obtained for different set and cycle sizes.

Keywords: goodness fit; fit tests; set sampling; sampling designs; designs ranked; ranked set

Journal Title: Journal of Statistical Computation and Simulation
Year Published: 2018

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