Expected difference of order statistics in terms of hazard rate

Autor: Tsirelson, Boris
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: If the hazard rate $ \frac{ F'(x) }{ 1-F(x) } $ is increasing (in $x$), then $ \mathbb E\, ( X_{n:n} - X_{n-1:n} ) $ is decreasing (in $n$), and moreover, completely monotone.
Comment: 10 pages
Databáze: arXiv