GENERALIZED HAZARD-BASED GOODNESS-OF-FIT TESTS FOR A REPAIRABLE SYSTEM

This paper examines the problem of goodness-of-fit concerning the distribution of the initial failure times of a repairable system. In particular, the class of intensity-based smooth goodness-of-fit tests studied in Pen˜a (1998a,b) and Agustin and Pen˜a (2000, 2001) is considered. Specific members of the family are derived and are shown to be generalizations of existing tests for independent and identically distributed observations. The results of a Monte Carlo simulation study are presented to illustrate the potential of these tests as powerful directional and omnibus tests.