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Bayesian Estimate Of System Reliability, Naresh Shah
Bayesian Estimate Of System Reliability, Naresh Shah
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
A Bayesian estimate of reliability for each component in the system of n-components, each exponentially distributed, is developed which utilizes the basic notion of loss in estimation theory. Here we assume that each component is independently distributed. In reliability estimation, the loss associated with overestimation is usually greater than the loss associated with underestimation; and hence loss function can be a very useful tool. The prior distribution and loss function of reliability considered in this paper are flexible to be compatible with other situations in which reliability estimates are required. When the loss function is symmetric and no prior information …