Order statistic properties, random generation, and goodness-of-fit testing for a minimal repair model

被引:10
作者
Agustin, MZN [1 ]
Peña, EA
机构
[1] So Illinois Univ, Dept Math & Stat, Edwardsville, IL 62026 USA
[2] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
关键词
Block; Borges; and Savits model; imperfect and perfect repairs; nonhomogeneous Poisson process; random number generation; recurrent event;
D O I
10.2307/2669701
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We present properties of statistics arising from the Block, Borges, and Savits age-dependent minimal repair model. These properties art: analogous to the order statistic properties in homogeneous Poisson processes. These properties are exploited to obtain an algorithm for generating a realization from the minimal repair model, and for testing hypothesis concerning the initial distribution function or hazard function of the repair model.
引用
收藏
页码:266 / 272
页数:7
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