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

Research output: Contribution to journal › Article › peer-review

2 Citations (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 Sept

Bibliographical note

Funding Information:
We are grateful to the reviewers for valuable comments and suggestions, which greatly improved this paper.B. Kim’s research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) ( NRF-2017R1A2B4012676 ). J. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( 2017R1D1A1B03029542 ).

Funding Information:
We are grateful to the reviewers for valuable comments and suggestions, which greatly improved this paper.B. Kim's research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2017R1A2B4012676). J. Kim's research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1B03029542).

Publisher Copyright:
© 2018 Elsevier B.V.

Keywords

Discrete order statistics
Logconcavity
Strong modality
Unimodality

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/j.spl.2018.04.018

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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, Logconcavity, Strong modality, Unimodality",

author = "Bara Kim and Jeongsim Kim and Sungji Lee",

note = "Funding Information: We are grateful to the reviewers for valuable comments and suggestions, which greatly improved this paper.B. Kim{\textquoteright}s research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) ( NRF-2017R1A2B4012676 ). J. Kim{\textquoteright}s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( 2017R1D1A1B03029542 ). Funding Information: We are grateful to the reviewers for valuable comments and suggestions, which greatly improved this paper.B. Kim's research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2017R1A2B4012676). J. Kim's research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1B03029542). Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

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AU - Kim, Bara

AU - Kim, Jeongsim

AU - Lee, Sungji

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PY - 2018/9

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N2 - 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.

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KW - Discrete order statistics

KW - Logconcavity

KW - Strong modality

KW - Unimodality

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DO - 10.1016/j.spl.2018.04.018

M3 - Article

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VL - 140

SP - 48

EP - 52

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

ER -

Strong unimodality of discrete order statistics

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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