Volume 36, Issue 2 (March 2008)
Formulas for Product Strength Modeling
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.