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Titlebook: Advances in Stochastic Models for Reliablity, Quality and Safety; Waltraud Kahle,Elart Collani,Uwe Jensen Book 1998 Birkhäuser Boston 1998

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楼主: audiogram
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Investigation of Convergence Rates in Risk Theory in the Presence of Heavy TailsAsmussen and Klüppelberg (1996) established limit theorems for various random variables occurring in risk theory. In the present paper rates of convergence in certain limit theorems are given, which may be improved in some special cases.
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Parameter Estimation in Damage Processes: Dependent Observation of Damage Increments and First PassaIn this paper we describe statistical methods for estimating the parameters of damage processes if in one realization both process increments and a failure time are observable. The likelihood function for such observations is developed and point estimates are compared with those for other models.
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Some Models Describing Damage Processes and Resulting First Passage TimesThe system reliability for a shock model with accumulating damages will be described by marked point processes Ф. The likelihood function is determined for different information about Ф. Usually, it depends on unknown parameters. The several resulting maximum—likelihood—estimates are derived for a mixed Poisson process.
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On Statistics in Failure-Repair Models Under Censoringi.d. life times under censorship without repair. Special investigations are made for Koziol-Green models. In the second part, a general failure-repair model described by counting processes is considered. Under the Koziol-Green condition some results concerning Bayes estimation and the nuisance parameter case are obtained.
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