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A Parametric Test of Perfect Ranking in Balanced Ranked Set Sampling
Authors:Ehsan Zamanzade  Nasser Reza Arghami  Michael Vock
Affiliation:1. Department of Statistics, University of Isfahan, Isfahan, Iran;2. Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran;3. Institute of Mathematical Statistics and Actuarial Science, University of Bern, Bern, Switzerland
Abstract:Many techniques based on data which are drawn by Ranked Set Sampling (RSS) scheme assume that the ranking of observations is perfect. Therefore it is essential to develop some methods for testing this assumption. In this article, we propose a parametric location-scale free test for assessing the assumption of perfect ranking. The results of a simulation study in two special cases of normal and exponential distributions indicate that the proposed test performs well in comparison with its leading competitors.
Keywords:Ranked set sampling  Test  Assumption of perfect ranking
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