Journal of Statistical Theory and Practice

, Volume 6, Issue 4, pp 745–759 | Cite as

The Kumaraswamy Birnbaum-Saunders Distribution

  • Helton SauloEmail author
  • Jeremias Leão
  • Marcelo Bourguignon


Motivated by the recent work of Cordeiro and Castro (2011), we study the Kumaraswamy Birnbaum-Saunders (Kw-\({\mathcal B}{\mathcal S}\)) distribution. This distribution provides an enormous flexibility in modeling heavy-tailed and skewed data. We derive some mathematical properties of the Kw-\({\mathcal B}{\mathcal S}\) including moments, quantile function, average lifetime function, mean residual lifetime function, and order statistics. In addition, we discuss maximum likelihood estimation of the model parameters.


Birnbaum-Saunders distribution Distribution theory Kumaraswamy Birnbaum-Saunders distribution 

AMS Subject Classification

33C90 62E99 


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Copyright information

© Grace Scientific Publishing 2012

Authors and Affiliations

  • Helton Saulo
    • 1
    Email author
  • Jeremias Leão
    • 2
  • Marcelo Bourguignon
    • 3
  1. 1.Departamento de EconomiaUniversidade Federal do Rio Grande do SulPorto AlegreBrazil
  2. 2.Departamento de EstatísticaUniversidade Federal do PiauíTeresinaBrazil
  3. 3.Departamento de EstatísticaUniversidade Federal de Pernambuco, Cidade UniversitáriaRecifeBrazil

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