Some new results on unimodality of generalized order statistics and their spacings

Mahdi Alimohammadi and Mohammad Hossein Alamatsaz

Statistics & Probability Letters, 2011, vol. 81, issue 11, 1677-1682

Abstract: Because of the importance of ordered random variables and, in general, generalized order statistics (GOSs), in many branches of Statistics, a wide interest has been shown in investigating unimodality and strong unimodality of such random variables. Assuming certain restrictions on the model parameters and distributions, some authors have shown unimodality of GOSs. In this article, we shall provide some new results on unimodality of GOSs based on the population distribution function which contain and strengthen several known findings in this regard. A counterexample is also provided for the cases where the results are not valid in general. Unimodality of arbitrary spacings of GOSs based on exponential distributions is also discussed.

Keywords: Order; statistics; Record; values; Progressively; censored; order; statistics; Convexity; Logconcavity (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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