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A lifetime distribution motivated by parallel and series structures

Author

Listed:
  • M. Goldoust
  • S. Rezaei
  • Y. Si
  • S. Nadarajah

Abstract

A new three-parameter distribution with decreasing, increasing, and bathtub-shaped hazard rates obtained by compounding geometric, power series, and exponential distributions is introduced. It includes some well-known distributions as particular cases. Various mathematical properties of the new distribution as well as details of the maximum likelihood estimation and a sensitivity analysis for its parameters are presented. Finally, two real data applications are presented.

Suggested Citation

  • M. Goldoust & S. Rezaei & Y. Si & S. Nadarajah, 2018. "A lifetime distribution motivated by parallel and series structures," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(13), pages 3052-3072, July.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:13:p:3052-3072
    DOI: 10.1080/03610926.2017.1346802
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