Advances and Applications in Statistics
Volume 30, Issue 2, Pages 93 - 120
(October 2012)
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STATISTICAL INFERENCE OF AN IMPERFECT MAINTENANCE MODEL
Soufiane Gasmi
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Abstract: The aim of the paper is to present statistical inference for a general repair model proposed by Last and Szekli [15] using Weibull intensity. This intensity is especially used as a failure model analyzing the reliability of different types of systems and can characterize the probabilistic behavior of a large number of real phenomena. The maximum likelihood estimator is considered for determining the estimations of the model parameters. The estimation of the Fisher information matrix is given. Simultaneous confidence regions based on the likelihood ratio statistics are developed for the estimators of the shape and the scale parameter of the Weibull intensity. For illustrative purpose, the results obtained are applied on sets of simulated data. A real data set is analyzed to see how the model works in practice. |
Keywords and phrases: imperfect repair, minimal repair, perfect repair, hazard rate, virtual age, Weibull intensity, confidence region. |
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