Functions Decreasing in Transposition with Applications to Shock, Damage, and Down Time.

摘要

In this paper a large class of multivariate densities and frequency functions including the multivariate Poisson distribution and the compound multivariate Poisson distribution, are shown to have the decreasing in transposition property introduced by Hollander, Proschan, and Sethuraman (1977, Ann. Statist. 5, 722-733). Applications relevant to reliability are given, including applications to shock models, cumulation of damage, and component down times. (Author)