Accession Number:

AD0670565

Title:

ESTIMATION FOR A FAMILY OF LIFE DISTRIBUTIONS WITH APPLICATIONS TO FATIGUE.

Descriptive Note:

Technical rept.,

Corporate Author:

WASHINGTON UNIV SEATTLE LAB OF STATISTICAL RESEARCH

Personal Author(s):

• Birnbaum,Z. W.
• Saunders,Sam C.

Report Date:

1968-05-28

Pagination or Media Count:

33.0

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. Author

Descriptors:

• *FATIGUE(MECHANICS)
• CRACK PROPAGATION
• FAILURE(MECHANICS)
• STATISTICAL DISTRIBUTIONS
• ITERATIONS
• SAMPLING
• RANDOM VARIABLES
• CONVERGENCE
• THEOREMS

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE