Evaluating Weibull Endurance Data by the Method of Maximum Likelihood

1 January 1970

journal article
research article
Published by Taylor & Francis in A S L E Transactions

Vol. 13 (3) , 189-202
https://doi.org/10.1080/05698197008972295

Abstract

The method of maximum likelihood has been found to offer many advantages over existing methods for analyzing Weibull distributed rolling bearing fatigue data. The purpose of this paper is to provide the rolling bearing engineer with what he needs to use the method of maximum likelihood for, 1) Unbiased estimation of Weibull L₁₀ life and shape parameter. 2) Setting confidence limits and testing hypotheses about Weibull L₁₀ life and shape parameter. 3) Unbiased estimation of the ratio of two population L₁₀'s and shape parameters. 4) Testing the significance of differences between two estimates of L₁₀ life or shape parameter.

Keywords

This publication has 7 references indexed in Scilit:

Hazard Plotting for Incomplete Failure Data
Journal of Quality Technology, 1969
Maximum-Likelihood Estimation, From Doubly Censored Samples, of the Parameters of the First Asymptotic Distribution of Extreme Values
Journal of the American Statistical Association, 1968
Point and Interval Estimation Procedures for the Two-Parameter Weibull and Extreme-Value Distributions
Technometrics, 1968
Estimation of Parameters in the Weibull Distribution
Technometrics, 1967
Monte Carlo Evaluation and Development of Weibull Analysis Techniques
A S L E Transactions, 1966
Maximum Likelihood Estimation in the Weibull Distribution Based on Complete and on Censored Samples
Technometrics, 1965
LEAST-SQUARES ESTIMATION OF LOCATION AND SCALE PARAMETERS USING ORDER STATISTICS
Biometrika, 1952