Reliability Estimation for (2+2) Cascade Model

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Ahmed H. Khaleel

Abstract

In this paper, the mathematical formula for the reliability of a special model from cascade models is found.
Assuming that the factors of strength and stress follow the binary Weibull distribution, and estimating parameters scale of
Weibull distribution by using three different estimation methods (ML, Rg and Pe) to estimate the reliability model and made
simulations to compare results by using the mean square error to find out which estimation method is the best for estimating
reliability model. As a result, we found that the ML estimator was the best in eight experiments and the Pe estimator was the
best in two only experiments and finally the performance of ML and Pe were close

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