TY - JOUR
T1 - Strong unimodality of discrete order statistics
AU - Kim, Bara
AU - Kim, Jeongsim
AU - Lee, Sungji
N1 - 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 ).
PY - 2018/9
Y1 - 2018/9
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
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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 -