Abstract
In this paper, we discuss the problem of estimating reliability (R) of a component based on maximum likelihood estimators (MLEs). The reliability of a component is given byR=P[Y<X]. Here X is a random strength of a component subjected to a random stress(Y) and (X,Y) follow a bivariate pareto(BVP) distribution. We obtain an asymptotic normal(AN) distribution of MLE of the reliability(R).
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Hanagal, D.D. Note on estimation of reliability under bivariate pareto stress-strength model. Statistical Papers 38, 453–459 (1997). https://doi.org/10.1007/BF02926000
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DOI: https://doi.org/10.1007/BF02926000