2013/09/11 by Faton Merovcı, Merovci, Faton, Ibrahim Elbatal +1
Environmental Science · Mathematics · #FOS: Computer and information sciences #Hydrology and Drought Analysis #Methodology (stat.ME) #Statistical Distribution Estimation and Applications #Statistical Methods and Bayesian Inference
paper · pdf · doi:10.48550/arxiv.1309.2961
openalex publication_date 2013/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A six parameter distribution so-called the McDonald modified Weibull distribution is defined and studied. The new distribution contains, as special submodels, several important distributions discussed in the literature, such as the beta modified Weibull, Kumaraswamy modified Weibull, McDonald Weibull and modified Weibull distribution,among others. The new distribution can be used effectively in the analysis of survival data since it accommodates monotone, unimodal and bathtub-shaped hazard functions. We derive the moments.We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set is used to illustrate the importance and flexibility of the new distribution.