A Point-Process Model Incorporating Renewals and Time Trends, With Application to Repairable Systems

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...

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Bibliographic Details
Published in:Technometrics 1996-05, Vol.38 (2), p.131-138
Main Authors: Lawless, J. F., Thiagarajah, K.
Format: Article
Language:English
Subjects:
Applications
Applied statistics
Approximation
Biology, psychology, social sciences
Covariance matrices
Estimation
Exact sciences and technology
Inference
Inference from stochastic processes
time series analysis
Insurance, economics, finance
Mathematics
Medical sciences
Modeling
Musical intervals
Numerical integration
Poisson process
Probability and statistics
Probability theory and stochastic processes
Recurrent events
Reliability, life testing, quality control
Renewal process
Research grants
Sciences and techniques of general use
Simulation
Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)
Statistics
Trend tests
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Summary: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.
ISSN:0040-1706
1537-2723
DOI:10.1080/00401706.1996.10484458