The Beta Exponential Fréchet Distribution with Applications

By Mohamed E. Mead, Ahmed Z. Afify, G. Hamedani, Indranil K. Ghosh. 2017

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We define and study a new generalization of the Frechet distribution called the beta exponential Frechet distribution. The new model includes thirty two special models. Some of its mathematical properties, including explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean residual life, mean inactivity time, order statistics and entropies are derived. The method of maximum likelihood is proposed to estimate the model parameters. A small simulation study is also reported. Two real data sets are applied to illustrate the flexibility of the proposed model compared with some nested and non-nested models.

Subfields: Artificial Intelligence, Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/356734ac2a9d696448a832fd20741b6e4b1a6156