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A unified class of compound lifetime distributions

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Listed:
  • Josemar Rodrigues
  • Gauss M. Cordeiro
  • Mário de Castro
  • Saralees Nadarajah

Abstract

A flexible class of lifetime distributions is obtained by compounding the first activation and the last activation survival functions proposed by Rodrigues et al. (2011), which possess nice biological and physical interpretations. In this compound scheme, the number of competing causes of the event of interest has a general discrete distribution characterized by its probability generating function. We demonstrate that several models recently introduced in the literature can be derived as special cases of the proposed model.

Suggested Citation

  • Josemar Rodrigues & Gauss M. Cordeiro & Mário de Castro & Saralees Nadarajah, 2016. "A unified class of compound lifetime distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(8), pages 2323-2331, April.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:8:p:2323-2331
    DOI: 10.1080/03610926.2014.881491
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