Strong unimodality of discrete order statistics

Bara Kim, Jeongsim Kim and Sungji Lee

Statistics & Probability Letters, 2018, vol. 140, issue C, 48-52

Abstract: Alimohammadi et al. (2015) showed that the smallest and largest order statistics from a discrete strongly unimodal distribution, are strongly unimodal. In this note, we generalize their result to all order statistics, which proves their conjecture.

Keywords: Discrete order statistics; Unimodality; Strong modality; Logconcavity (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1016/j.spl.2018.04.018

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