Shock models with MIFRA time to failure distributions (Q1193951)

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scientific article; zbMATH DE number 63537
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Shock models with MIFRA time to failure distributions
scientific article; zbMATH DE number 63537

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    Shock models with MIFRA time to failure distributions (English)
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    27 September 1992
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    It is shown that a wear process with a general state space obtained from a fairly general shock model is a strongly IFRA process. The main result generalizes results of \textit{A. W. Marshall} and the reviewer [Ann. Probab. 7, 343-358 (1979; Zbl 0394.62033)] and of \textit{T. H. Savits} and the reviewer [Stochastic Processes Appl. 11, 273-283 (1981; Zbl 0472.62058)]. Some applications to multivariate cumulative shock models, and to shock models with underlying birth process, are given.
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    shock model
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    multivariate cumulative shock models
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