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Reliability of a stress-strength model with Burr type III distributions. (English) Zbl 1070.62091

Summary: The reliability of a system is discussed when both the strength of the system and the stress imposed on it are independent, non identical Burr Type III distributed random variables. Different methods for estimating the reliability are applied. The point estimators obtained are maximum likelihood, uniformly minimum variance unbiased, and Bayesian estimators based on conjugate and non informative prior distributions. A comparison of the estimates obtained is performed. Interval estimators of the reliability are also discussed.

MSC:

62N05 Reliability and life testing
62N02 Estimation in survival analysis and censored data
62F10 Point estimation
62F15 Bayesian inference
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References:

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