Abstract
Generally the reliability of complex repairable systems is characterized by time dependent rate of occurence of failures. The corresponding mathematical model is the nonhomogeneous Poisson process. This paper comprises mathematical properties of the nonhomogeneous Poisson process, some frequently used types of failure intensity functions, and some results and aspects of statistical inference. The given models are applicable to the reliability of complex repairable systems, software systems, and to the reliability growth problemacy.
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