Martingale and reliability Theory - Bueno, Vanderlei
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The existing literature on reliability covers "inter alia" lifetime analysis, complex systems, redundancy operations and the book from Barlow and Proschan, 1981, can be view as a first milestone in this area. However the approach is under stochastic independence. Any engineer working under independence conditions hypothesis is leads to underestimating critical events with negative consequences. The reliability of a complex system has to be analysed taking into account the statistical dependence and time dynamics. These can be done considering a point process martingale approach to reliability…mehr

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Produktbeschreibung
The existing literature on reliability covers "inter alia" lifetime analysis, complex systems, redundancy operations and the book from Barlow and Proschan, 1981, can be view as a first milestone in this area. However the approach is under stochastic independence. Any engineer working under independence conditions hypothesis is leads to underestimating critical events with negative consequences. The reliability of a complex system has to be analysed taking into account the statistical dependence and time dynamics. These can be done considering a point process martingale approach to reliability theory.In this monograph we study component reiability importance for system reliability, redundancy operations and a generalizatio of system signature.
Autorenporträt
Vanderlei da Costa Bueno, PhD from University of Pittsburgh, P.A., USA, is an associated professor on the Institute of Mathematics and Statistics at São Paulo University, São Paulo, Brazil. As a researcher has interest in Applied Probability and specially analysing stochastic dependence in complex engineering system.