SYMPOSIA PAPER Published: 01 January 1981
STP29326S

Review of Statistical Analyses of Fatigue Life Data Using One-Sided Lower Statistical Tolerance Limits

Source

This introductory paper explains basic probability concepts and summarizes in a fatigue context the state of the art for analyses of life data using one-sided lower statistical tolerance limits. Types I and II censoring are considered for both the two-parameter log-normal and Weibull distributions, and the corresponding approximate and exact one-sided lower tolerance limit calculations are illustrated and discussed. In addition, Antle's likelihood ratio test for discriminating between these two-parameter life distributions is summarized. The classic one-sided lower nonparametric tolerance limit analysis and a small sample modification by Little are discussed and illustrated in a fatigue context. Overall, this paper is intended to provide background and perspective for subsequent papers.

Author Information

Little, RE
University of Michigan-Dearborn, Mich.
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Details
Developed by Committee: E08
Pages: 3–23
DOI: 10.1520/STP29326S
ISBN-EB: 978-0-8031-4810-9
ISBN-13: 978-0-8031-0716-8