About Birnbaum-Saunders distributions based on the Johnson system

Emilia Athayde, Cecilia Azevedo, VICTOR ELISEO LEIVA SANCHEZ, Antonio Sanhueza

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

In this article, we study Birnbaum-Saunders distributions based on the Johnson system including the case of a location-scale model. We mainly focus our attention on a four-parameter Birnbaum-Saunders distribution, since it contains all the versions presented here as particular cases. We describe structural aspects of this distribution considering its basic indicators, such as the density, distribution and quantile functions, as well as its properties, moments and shape and hazard analyses.

Original languageEnglish
Pages (from-to)2061-2079
Number of pages19
JournalCommunications in Statistics - Theory and Methods
Volume41
Issue number11
DOIs
StatePublished - 1 Jun 2012

Keywords

  • Distribution parameters
  • Failure rate
  • Location-scale
  • Non centrality

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