Goodness-of-fit tests for the birnbaum-saunders distribution with censored reliability data

Michelli Barros, VICTOR ELISEO LEIVA SANCHEZ, Raydonal Ospina, Aline Tsuyuguchi

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Abstract

We propose goodness-of-fit tests for Birnbaum-Saunders distributions with type-II right censored data. Classical goodness-of-fit tests based on the empirical distribution, such as Anderson-Darling, Cramér-von Misses, and Kolmogorov-Smirnov, are adapted to censored data, and evaluated by means of a simulation study. The obtained results are applied to real-world censored reliability data.

Original languageEnglish
Article number6784482
Pages (from-to)543-554
Number of pages12
JournalIEEE Transactions on Reliability
Volume63
Issue number2
DOIs
StatePublished - 1 Jan 2014

Keywords

  • Anderson-Darling
  • Cramér-von Mises
  • empirical distribution function
  • hypothesis testing
  • Kolmogorov-Smirnov tests
  • Monte Carlo simulation
  • order statistics
  • type-II censoring

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