Abstract
In this paper, we consider two kinds of repair-limit replacement models and develop the corresponding graphical methods to estimate the optimal repair-time limits which minimize the expected costs per unit time in the steady state. Then, both the total time on test statistics and the Lorenz statistics play important roles to develop nonparametric estimators of the optimal repair-time limits. Numerical examples are devoted to illustrate asymptotic properties of nonparametric estimators for the optimal repair-limit policies.
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