Ultra log-concavity of discrete order statistics

Publication date

2023-06-26



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. © 2023 The Authors

Document Type

Article


Published version

Language

English

Pages

4 p.

Publisher

Elsevier B.V.

Published in

Statistics and Probability Letters

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CRM Articles [713]