English
New closure theorems for shock models in reliability theory are presented. If the number of shocks to failure and the times between the arrivals of shocks have probability distributions of phase type, then so has the time to failure. PH-distributions are highly versatile and may be used to model many qualitative features of practical interest. They are also well-suited for algorithmic implementation. The computational aspects of our results are discussed in some detail. (Author)
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DTIC Archive · Neuts,Marcel F · DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST · *RELIABILITY · *SHOCK RESISTANCE · MATHEMATICAL MODELS · COMPUTATIONS · LIFE EXPECTANCY(SERVICE LIFE) · PROBABILITY DISTRIBUTION FUNCTIONS · SHOCK(MECHANICS)