Shahid Bahonar University of Kerman Journal of Mahani Mathematical Research 2251-7952 14 1 2025 01 01 On the Zhang-power series distributions with application to lifetime modeling 505 525 4587 10.22103/jmmr.2024.23690.1676 EN Hamideh Memarbashi Department of Statistics, University of Birjand, Birjand, Iran 0009-0008-7786-1024 Javad Etminan Department of Statistics, University of Birjand, Birjand, Iran Majid Chahkandi Department of Statistics, University of Birjand, Birjand, Iran Journal Article 2024 06 28 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. https://jmmrc.uk.ac.ir/article_4587_110efac1c32ce3d5c491fe695b3fbac6.pdf