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Mixture Distribution Model Approximation to System Reliability

Author(s): Ayça Hatice Türkan | Hamza Erol

Journal: Selçuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: Statistics;
Issue: Special Issue;
Start page: 35;
Date: 2011;
Original page

Keywords: Component reliability | Hazard function | Mixture probability density function | Reliability block diagram | Reliability function | Statistical reliability analysis | System reliability.

In this study, mixture reliability functions, mixture probability density functions and mixture hazard functions were established for reliability block diagrams of series, parallel and complex systems. Mixture reliability function, mixture probability density function and mixture hazard function, established for systems studied, were proposed as an approximation to reliability function, probability density function and hazard function respectively. It was shown that system reliability functions, system probability density functions and system hazard functions can be expressed in terms of component reliability functions, component probability density functions and component hazard functions respectively. By the mixture distribution model approximation to system reliability: function representations were simplified, function calculations were decreased and information extracted from the system and its components were increased for reliability block diagrams of series, parallel and complex systems.
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