Order statistic properties, random generation, and goodness-of-fit testingfor a minimal repair model

We present properties of statistics arising from the Block, Borges, and Sav its age-dependent minimal repair model. These properties art: analogous to the order statistic properties in homogeneous Poisson processes. These prop erties are exploited to obtain an algorithm for generating a realization fr om the minimal repair model, and for testing hypothesis concerning the init ial distribution function or hazard function of the repair model.