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Title: A counting process model of survival of parallel load-sharing system (English)
Author: Volf, Petr
Author: Linka, Aleš
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 37
Issue: 1
Year: 2001
Pages: [47]-60
Summary lang: English
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Category: math
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Summary: A system composed from a set of independent and identical parallel units is considered and its resistance (survival) against an increasing load is modelled by a counting process model, in the framework of statistical survival analysis. The objective is to estimate the (nonparametrized) hazard function of the distribution of loads breaking the units of the system (i. e. their breaking strengths), to derive the large sample properties of the estimator, and to propose a goodness-of-fit test. We also examine the relationship between the survival of the system and the survival of its components. (English)
Keyword: hazard function
Keyword: goodness-of-fit test
MSC: 60G10
MSC: 60K10
MSC: 62M05
MSC: 62N02
MSC: 62N05
idZBL: Zbl 1265.62021
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Date available: 2009-09-24T19:37:03Z
Last updated: 2015-03-26
Stable URL: http://hdl.handle.net/10338.dmlcz/135388
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