The Beta Generalized Inverse Weibull Distribution
Lamya A. Baharith, Salwa A Mousa, Mahmoud A. Atallah, Sohaila H. Elgayar
Journal of Advances in Mathematics and Computer Science · pp. 252–270 · Published 23 Oct 2013
10.9734/BJMCS/2014/6470Abstract
The beta generalized inverse Weibull distribution (BGIW) is suggested in this paper. The mathematical properties of the BGIW distribution are provided and the expression for the moment generating function is derived. Also, the analytical shapes of the corresponding probability density function, reliability function, hazard rate function, and mode are derived with graphical illustrations. Expressions for the r-th positive and negative moments are calculated and the variation of the skewness and kurtosis measures is investigated. Moment and likelihood estimators of the parameters are derived. The observed information matrix is obtained. Simulation study is carried out to investigate the performance of the maximum likelihood method of estimation. Moreover, analysis of real data set is conducted to demonstrate the usefulness of the proposed distribution.
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