A NEW FAMILY OF LIFE DISTRIBUTIONS

Abstract

A new two parameter family of life length distributions is presented which is derived from a model for fatigue. This derivation follows from considerations of renewal theory for the number of cycles needed to force a fatigue crack extension to exceed a critical value. Some closure properties of this family are given and some comparisons made with other families such as the lognormal which have been previously used in fatigue studies.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0677586

Entities

People

  • Sam C. Saunders
  • Z. W. Birnbaum

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Distribution Functions
  • Engineering
  • Fatigue Life
  • Goodness Of Fit Tests
  • Mathematics
  • Normal Distribution
  • Notation
  • Oscillation
  • Probability
  • Random Variables
  • Real Variables
  • Scientific Research
  • Statistical Analysis
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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