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 | |
| Publication status | Published - 2018 Sep 1 |
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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 journal › Article
}
TY - JOUR
T1 - Strong unimodality of discrete order statistics
AU - Kim, Bara
AU - Kim, Jeongsim
AU - Lee, Sungji
PY - 2018/9/1
Y1 - 2018/9/1
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.
AB - 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.
KW - Discrete order statistics
KW - Logconcavity
KW - Strong modality
KW - Unimodality
UR - http://www.scopus.com/inward/record.url?scp=85046690694&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85046690694&partnerID=8YFLogxK
U2 - 10.1016/j.spl.2018.04.018
DO - 10.1016/j.spl.2018.04.018
M3 - Article
AN - SCOPUS:85046690694
VL - 140
SP - 48
EP - 52
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
ER -