Minimal repair in heterogeneous populations

The notion of minimal repair is generalized to the case when the lifetime distribution function is a continuous or a discrete mixture of distributions (heterogeneous population). The statistical (black box) minimal repair and the minimal repair based on information just before the failure of an obje...

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Bibliographic Details
Published in:Journal of applied probability 2004-03, Vol.41 (1), p.281-286
Main Author: Finkelstein, M. S.
Format: Article
Language:English
Subjects:
60K10
90B25
Applications
Cumulative distribution functions
Exact sciences and technology
information-based minimal repair
Mathematical inequalities
Mathematical models
Mathematical objects
Mathematics
Minimal repair
nonhomogeneous Poisson process
Observed choices
Poisson distribution
Poisson process
Population
Population distributions
Probability
Probability and statistics
Random variables
Sciences and techniques of general use
Short Communications
statistical minimal repair
Statistics
stochastic intensity
Stochastic models
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Description
Summary:The notion of minimal repair is generalized to the case when the lifetime distribution function is a continuous or a discrete mixture of distributions (heterogeneous population). The statistical (black box) minimal repair and the minimal repair based on information just before the failure of an object are considered. The corresponding stochastic intensities are defined and analyzed for the point processes generated by both types of minimal repair. Some generalizations are discussed. Several simple examples are considered.
ISSN:0021-9002
1475-6072
DOI:10.1239/jap/1077134686