A skewed sinh-normal distribution and its properties and application to air pollution

Víctor Leiva, Filidor Vilca, N. Balakrishnan, Antonio Sanhueza

Research output: Contribution to journalArticlepeer-review

62 Scopus citations

Abstract

In this article, we introduce a skewed version of the sinh-normal distribution and discuss some of its properties. In addition, we characterize an extension of the Birnbaum-Saunders model associated with this distribution from a probabilistic viewpoint along with a lifetime analysis based on its hazard rate. Finally, one of the proposed models is applied to air pollution data in order to illustrate its usefulness.

Original languageEnglish
Pages (from-to)426-443
Number of pages18
JournalCommunications in Statistics - Theory and Methods
Volume39
Issue number3
DOIs
StatePublished - Jan 2010
Externally publishedYes

Keywords

  • Birnbaum-Saunders model
  • Logarithmic distributions
  • Skew distributions

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