Presenting a New Model of Weibel Log Logistic Distribution, Its Features and Applications

In this paper, features and applications of a four-parameter distribution called "Exponentiated Log-Logistic Weibull" distribution are presented, which has many applications in meteorology, life time issues, agricultural product price modeling, and reliability. This distribution has an increasing, decreasing, u-shaped and inverted u-shaped hazard rate function. In this article, at first the statistical and mathematical characteristics of this distribution are presented, including moments, maximum likelihood estimation of parameters, deviation from the mean and median, Bonferroni and Lorenz curve. Finally its applications are presented to show the flexibility of the distribution. The data fitting results also confirm the suitability of this model for the considered real data set.