Inference for Reliability and Stress-Strength for a Scaled Burr Type X Distribution

J. G. Surles, W. J. Padgett

Research output: Contribution to journalArticle

151 Scopus citations

Abstract

Inference for R = P(Y < X) is considered when X and Y are independently distributed as scaled Burr type X random variables. Under this model, exact inference procedures for R cannot be found. Hence, based on the expected Fisher information matrix which is derived here, asymptotic inference procedures for R and other general functions of the parameters are developed. A bootstrap method to estimate variance for the maximum likelihood estimators is also discussed. To illustrate these techniques, an example using carbon fiber strength data is given. Simulations to assess the effectiveness of these techniques, as well as other concerns, are presented.

Original languageEnglish
Pages (from-to)187-200
Number of pages14
JournalLifetime Data Analysis
Volume7
Issue number2
DOIs
StatePublished - 2001

Keywords

  • Burr distributions
  • Carbon composite materials
  • Fisher information
  • Maximum likelihood
  • Stress-strength model

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