Strong unimodality of discrete order statistics

Bara Kim, Jeongsim Kim, Sungji Lee

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)48-52
Number of pages5
JournalStatistics and Probability Letters
Volume140
DOIs
Publication statusPublished - 2018 Sep 1

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Unimodality
Order Statistics
Unimodal Distribution
Generalise
Order statistics

Keywords

  • Discrete order statistics
  • Logconcavity
  • Strong modality
  • Unimodality

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Strong unimodality of discrete order statistics. / Kim, Bara; Kim, Jeongsim; Lee, Sungji.

In: Statistics and Probability Letters, Vol. 140, 01.09.2018, p. 48-52.

Research output: Contribution to journalArticle

Kim, Bara ; Kim, Jeongsim ; Lee, Sungji. / Strong unimodality of discrete order statistics. In: Statistics and Probability Letters. 2018 ; Vol. 140. pp. 48-52.
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