A note on the prediction and testing of system reliability under shock models

The reliability of finite systems is studied. The functioning of a system is characterized by a vector of binary variables. The a priori distribution of the random vector permits to establish a linear probability model. It is used for deriving a predictor of the reliability and its error. Under a set of mild conditions T-Student based inferences can be made when a sufficiently large sample size is used. The independent case and a shock dependent model are studied.