- 期刊
- OpenAccess
Extended Poisson-Fréchet Distribution: Mathematical Properties and Applications to Survival and Repair Times
摘要
In this paper, a new four parameter zero truncated Poisson Fréchet distribution is defined and studied. Various structural mathematical properties of the proposed model including ordinary moments, incomplete moments, generating functions, order statistics, residual and reversed residual life functions are investigated. The maximum likelihood method is used to estimate the model parameters. We assess the performance of the maximum likelihood method by means of a numerical simulation study. The new distribution is applied for modeling two real data sets to illustrate empirically its flexibility.
延伸閱讀
- 陳維梁（2019）。Component Inference on Mixture Model of Overdispersion Poisson〔碩士論文，國立交通大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0030-0306202016342603
- Hassan, A. S., & Nassr, S. G. (2018). POWER LOMAX POISSON DISTRIBUTION: PROPERTIES AND ESTIMATION. Journal of Data Science, 16(1), 105-127. https://doi.org/10.6339/JDS.201801_16(1).0007
- Chen, H. F. (2002). RCOSPP: Generation of Event Times from Trigonometric-Rate Poisson Processes. 中原學報, 30(3), 367-371. https://doi.org/10.6358/JCYU.200209.0367
- Dotsenko, V. (2007). An Operadic Approach to Deformation Quantization of Compatible Poisson Brackets, I. Journal of Generalized Lie Theory and Applications, 1(2), 107-115. https://www.airitilibrary.com/Article/Detail?DocID=17365279-200707-201012090043-201012090043-107-115
- NEAMMANEE, K. (2003). A NONUNIFORM BOUND FOR THE APPROXIMATION OF POISSON BINOMIAL BY POISSON DISTRIBUTION. International Journal of Mathematics and Mathematical Sciences, 2003(), 3041-3046-234. https://doi.org/10.1155/S0161171203212229