Ultra log-concavity of discrete order statistics

Llorenç Badiella, Joan del Castillo and Pedro Puig

Statistics & Probability Letters, 2023, vol. 201, issue C

Abstract: In this work we show that discrete order statistics preserve log-concavity and ultra log-concavity. We use a recursive expression for discrete order statistics and the concept of synchronized sequences. This finding allows to conclude that Poisson order statistics are underdispersed.

Keywords: Poisson distribution; Underdispersion (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1016/j.spl.2023.109900

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