Strong unimodality of discrete order statistics

Bara Kim; Jeongsim Kim; Sungji Lee

doi:10.1016/j.spl.2018.04.018

Strong unimodality of discrete order statistics

Bara Kim, Jeongsim Kim, Sungji Lee

Department of Mathematics

Research output: Contribution to journal › Article

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	48-52
Number of pages	5
Journal	Statistics and Probability Letters
Volume	140
DOIs	https://doi.org/10.1016/j.spl.2018.04.018
Publication status	Published - 2018 Sep 1

Keywords

Discrete order statistics
Logconcavity
Strong modality
Unimodality

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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Kim, B., Kim, J., & Lee, S. (2018). Strong unimodality of discrete order statistics. Statistics and Probability Letters, 140, 48-52. https://doi.org/10.1016/j.spl.2018.04.018

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