ESTIMATION FOR A FAMILY OF LIFE DISTRIBUTIONS WITH APPLICATIONS TO FATIGUE

Abstract

The estimation problem is studied for a new two-parameter family of life length distributions which has been previously derived from a model of fatigue crack growth. Maximum likelihood estimates of both parameters are obtained and iterative computing procedures are given and examined. A simple estimate of the median life is exhibited, shown to be consistent and then compared, favorably, with the maximum likelihood estimate. More importantly the asymptotic distribution of this estimate is shown to be within the same class of distributions as the observations themselves. This model, and these estimation procedures, are tried by fitting this distribution to several extensive sets of fatigue data and then some comparisons of practical significance are made.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0671968

Entities

People

  • Sam C. Saunders
  • Z. W. Birnbaum

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Arithmetic
  • Binomials
  • Computations
  • Distribution Functions
  • Equations
  • Estimators
  • Fatigue Life
  • Inequalities
  • Iterations
  • Mathematics
  • Maximum Likelihood Estimation
  • Observation
  • Probability
  • Random Variables
  • Scientific Research
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Materials Science (Mechanical Engineering).
  • Statistical inference.