The concept of stress strength inference plays an important role in modeling problems with respect to testing and evaluation of products. The lifetime failure rate of a product can be expressed by the probability FR=Pr(X2<X1), where X1 and X2 are some random variables representing the lifetime maximum stress and the strength of the product. In this note, we derive a comprehensive collection of formulas for FR by assuming the most commonly known models for X1 and X2. We feel that this work could serve as a useful reference for product strength modeling.
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