On the Zhang-power series distributions with application to lifetime modeling

Document Type : Research Paper

Authors

Department of Statistics, University of Birjand, Birjand, Iran

Abstract

Many recent probability distributions are introduced by compounding the well-known continuous distributions  with the power series distribution.   In this paper, we provide a general closed-form expression  for the cumulative distribution function of this class. Then, we introduce  a new four parameter lifetime distribution called  Zhang-power series (ZPS) distribution. This distribution is very useful in the lifetime, reliability and extreme-value data analysis. The distribution properties including survival function, hazard function and limiting behavior of the probability density  and hazard functions are studied. The method of maximum likelihood estimation is used to estimate the model parameters. Applications to real data sets are given to show the flexibility and potentiality of the proposed model.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 14, Issue 1 - Serial Number 31
January 2025
Pages 505-525

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History

  • Receive Date: 28 June 2024
  • Revise Date: 21 November 2024
  • Accept Date: 13 December 2024

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