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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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:103:y:2015:i:c:p:176-185
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DOI: 10.1016/j.spl.2015.04.019
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