On preservation under univariate weighted distributions

[摘要] We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Rao, residual lifetime distribution, proportional hazards and proportional reversed hazards models are discussed as special weighted distributions to try some of our results.

[学科分类] 应用数学

[关键词] weighted distribution;preservation;stochastic ordering;aging classes