Discrete strong unimodality of order statistics

Mahdi Alimohammadi, Mohammad Hossein Alamatsaz and Erhard Cramer

Statistics & Probability Letters, 2015, vol. 103, issue C, 176-185

Abstract: We show that discrete logconcavity of probability mass functions implies logconcavity of their distribution and survival functions. Applications are obtained and discrete strong unimodality of order statistics (OSs) is established. Illustrative examples are provided and finally discrete logconvexity of OSs is discussed.

Keywords: Discrete order statistics; Logconcavity; Unimodality; Total positivity; IFR (DFR); DRHR (IRHR) (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2015.04.019

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