Lifetime analysis based on the generalized Birnbaum-Saunders distribution

VICTOR ELISEO LEIVA SANCHEZ, Marco Riquelme, N. Balakrishnan, Antonio Sanhueza

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Abstract

In this paper, we consider a family of generalized Birnbaum-Saunders distributions and present a lifetime analysis based mainly on the hazard function of this model. In addition, we carry out maximum likelihood estimation by using an iterative algorithm, which produces robust estimates. Asymptotic inference is also presented. Next, the quality of the estimation method is examined by means of Monte Carlo simulations. We then provide a practical example to illustrate the obtained results. From this example and based on goodness-of-fit methods, we show that the GBS distribution results in a more appropriate model for modeling fatigue data than other models commonly used to model this type of data. Finally, we estimate the hazard function and the critical point of this function.

Original languageEnglish
Pages (from-to)2079-2097
Number of pages19
JournalComputational Statistics and Data Analysis
Volume52
Issue number4
DOIs
StatePublished - 10 Jan 2008

Keywords

  • Asymptotic inference
  • Goodness-of-fit
  • Lifetime distributions
  • Likelihood methods
  • Monte Carlo simulation
  • Numerical methods
  • Reliability and survival analysis

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