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On some aspects of a flexible class of additive Weibull distribution

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  • C. Satheesh Kumar
  • Subha R. Nair

Abstract

Here we consider a more flexible class of the additive Weibull distribution of Xie and Lai (Reliab. Eng. Syst. Safety, 1995) and investigate some of its important properties such as expressions for its cumulative distribution function, reliability measures, quantile function, characteristic function, raw moments, incomplete moments, etc. The distribution and moments of order statistics are obtained along with certain structural properties. The maximum-likelihood estimation of the parameters of the distribution is attempted and the usefulness of the model in certain applied areas is illustrated with the help of certain real life data sets.

Suggested Citation

  • C. Satheesh Kumar & Subha R. Nair, 2018. "On some aspects of a flexible class of additive Weibull distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(5), pages 1028-1049, March.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:5:p:1028-1049
    DOI: 10.1080/03610926.2017.1316399
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