On the Distribution of Cycles to Crack Initiation,

Abstract

This report is a supplement to our previous report on the distribution of the number of cycles to crack initiation in aircraft engine disks. The data analyzed in the previous report are reconsidered here using a new approach. Thus, some degree of familiarity with the first report is assumed. We first present a nonparametric approach for estimating the survival (reliability) function. This technique is applied to the actual data, and comparisons are made with the survival curves that are obtained assuming the lognormal, the Weibull, and the inverse Gaussian distributions. An alternative informal goodness of fit test for the inverse Gaussian distribution is also considered. Our conclusion is that estimated survival curves using the lognormal, the Weibull, and the inverse Gaussian distributions behave similarly, whereas the survival curve based on a nonparametric approach is more conservative as compared to the other curves.

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Document Details

Document Type
Technical Report
Publication Date
Apr 08, 1983
Accession Number
ADA144860

Entities

People

  • R. Soyer

Organizations

  • George Washington University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircraft Engines
  • Data Science
  • Data Sets
  • Distribution Functions
  • Gaussian Distributions
  • Goodness Of Fit Tests
  • Information Science
  • Intervals
  • Normal Distribution
  • Probability
  • Random Variables
  • Reliability
  • Risk
  • Risk Analysis
  • Statistical Analysis
  • Statistical Distributions
  • Survival

Fields of Study

  • Mathematics

Readers

  • Materials Science (Mechanical Engineering).
  • Statistical inference.
  • Systems Analysis and Design