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
Mar 22, 1968
Accession Number
AD0667247

Entities

People

  • Sam C. Saunders
  • Z. W. Birnbaum

Organizations

  • University of Washington

Tags

DTIC Thesaurus Topics

  • Distribution Functions
  • Families (Human)
  • Fatigue Life
  • Materials
  • Mathematics
  • Military Research
  • New York
  • Normal Distribution
  • Notation
  • Oscillation
  • Probability
  • Random Variables
  • Scientific Research
  • Statistical Analysis
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Structural Health Monitoring of Composite Structures.