Communications for Statistical Applications and Methods

  • 제24권4호
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  • Pages.397-419
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  • 2017
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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A new extended Birnbaum-Saunders model with cure fraction: classical and Bayesian approach

  • Ortega, Edwin M.M. (Departamento de Ciencias Exatas, Universidade de Sao Paulo) ;
  • Cordeiro, Gauss M. (Departamento de Estatistica, Universidade Federal de Pernambuco) ;
  • Suzuki, Adriano K. (Departamento de Matematica Aplicada e Estatistica, Universidade de Sao Paulo) ;
  • Ramires, Thiago G. (Departamento de Ciencias Exatas, Universidade de Sao Paulo)
  • 투고 : 2017.05.10
  • 심사 : 2017.07.07
  • 발행 : 2017.07.31
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초록

A four-parameter extended fatigue lifetime model called the odd Birnbaum-Saunders geometric distribution is proposed. This model extends the odd Birnbaum-Saunders and Birnbaum-Saunders distributions. We derive some properties of the new distribution that include expressions for the ordinary moments and generating and quantile functions. The method of maximum likelihood and a Bayesian approach are adopted to estimate the model parameters; in addition, various simulations are performed for different parameter settings and sample sizes. We propose two new models with a cure rate called the odd Birnbaum-Saunders mixture and odd Birnbaum-Saunders geometric models by assuming that the number of competing causes for the event of interest has a geometric distribution. The applicability of the new models are illustrated by means of ethylene data and melanoma data with cure fraction.

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참고문헌

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