ISSN: 0090-3973
Published Online: 12 November 2007
Page Count: 6

Formulas for Product Strength Modeling
Nadarajah, Saralees
University of Manchester, UK

Kotz, Samuel
George Washington University, DC

(Received 23 December 2006; accepted 4 October 2007)

Abstract

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.

Keywords:
stress strength inference, product strength modeling, reliability

Paper ID: JTE100970
DOI: 10.1520/JTE100970
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