A point-process model incorporating renewals and time trends, with application to repairable systems

被引:67
作者
Lawless, JF
Thiagarajah, K
机构
关键词
estimation; Poisson process; recurrent events; renewal process; simulation; trend tests;
D O I
10.2307/1270406
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 discuss models for recurrent events that incorporate both time trends and effects of past events, such as renewal-type behavior. Inference procedures, including tests for trend, are developed and illustrated on repairable-systems failure data. Simulations are used to examine the accuracy of large-sample approximations used for tests or interval estimation.
引用
收藏
页码:131 / 138
页数:8
相关论文
共 21 条
[1]  
ANDERSEN PK, 1993, STAT METHODS BASED C
[2]  
Ascher H., 1984, REPAIRABLE SYSTEMS R
[3]   INFERENCES ON THE PARAMETERS AND CURRENT SYSTEM RELIABILITY FOR A TIME TRUNCATED WEIBULL PROCESS [J].
BAIN, LJ ;
ENGELHARDT, M .
TECHNOMETRICS, 1980, 22 (03) :421-426
[4]   TESTS FOR AN INCREASING TREND IN THE INTENSITY OF A POISSON-PROCESS - A POWER STUDY [J].
BAIN, LJ ;
ENGELHARDT, M ;
WRIGHT, FT .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1985, 80 (390) :419-422
[5]  
BERMAN M., 1992, APPL STAT-J ROY ST C, V41, P31
[6]  
Cox D., 1972, Stochastic Point Processes. The statistical analysis of dependencies in point processes, P55
[7]  
Cox D.R., 1980, POINT PROCESSES
[8]  
COX DR, 1966, STATISTICAL ANAL SER
[9]  
Crow L.H., 1974, RELIABILITY BIOMETRY, P379