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An Extension of Chen’s Family of Survival Distributions with Bathtub Shape or Increasing Hazard Rate Function

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  • Yogendra P. Chaubey
  • Rui Zhang

Abstract

In this article we introduce an extension of Chen’s (2000) family of distributions given by Lehman alternatives (see Gupta et al., 1998) that is shown to present another alternative to the generalized Weibull and exponentiated Weibull families for modeling survival data. The extension proposed here can be seen as the extension to the Chen’s distribution as the exponentiated Weibull is to the Weibull. A detailed analysis of the density and hazard shapes is carried out. The new model is also seen to fit well to the flood data used in fitting the exponentiated Weibull model in Mudholkar and Hutson (1996).

Suggested Citation

  • Yogendra P. Chaubey & Rui Zhang, 2015. "An Extension of Chen’s Family of Survival Distributions with Bathtub Shape or Increasing Hazard Rate Function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(19), pages 4049-4064, October.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:19:p:4049-4064
    DOI: 10.1080/03610926.2014.997357
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    Cited by:

    1. Abba, Badamasi & Wang, Hong & Bakouch, Hassan S., 2022. "A reliability and survival model for one and two failure modes system with applications to complete and censored datasets," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    2. Farhad Yousaf & Sajid Ali & Ismail Shah, 2019. "Statistical Inference for the Chen Distribution Based on Upper Record Values," Annals of Data Science, Springer, vol. 6(4), pages 831-851, December.
    3. Mohamed Ibrahim & Khaoula Aidi & M. Masoom Ali & Haitham M. Yousof, 2023. "A Novel Test Statistic for Right Censored Validity under a new Chen extension with Applications in Reliability and Medicine," Annals of Data Science, Springer, vol. 10(5), pages 1285-1299, October.

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