Ημι-Μαρκοβιανές διαδικασίες και θεωρία αξιοπιστίας: θεωρητικές προσεγγίσεις μετ' εφαρμογών
In Reliability Analysis the main focus is on stochastic processes and in particular semi-Markov processes since they allow for general lifetime distributions. In this thesis, we introduce a family of lifetime distributions, the H-class of distributions, which is closed under minimum. However, some d...
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| Language: | en_US |
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2022
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| Online Access: | http://hdl.handle.net/11610/24006 |
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| Summary: | In Reliability Analysis the main focus is on stochastic processes and in particular semi-Markov processes since they allow for general lifetime distributions. In this thesis, we introduce a family of lifetime distributions, the H-class of distributions, which is closed under minimum. However, some distributions, that we are interested in, do not belong to the H-class, like the Modified Weibull Poisson distribution and therefore we approximate them, by members of the H-class. Moreover, using the multi-state systems and semi-
Markov methodology, we produce maximum likelihood estimators for the parameters of the distribution of H-class. |
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