Open AccessThe beta compound Rayleigh distribution : Properties and applications
Author(s) -
Hesham Reyad,
Samaa M. Ibrahim
Publication year - 2017
Publication title -
international journal of advanced statistics and probability
Language(s) - English
Resource type - Journals
ISSN - 2307-9045
DOI - 10.14419/ijasp.v5i1.7513
Subject(s) - kurtosis , rayleigh distribution , mathematics , skewness , statistics , beta distribution , rayleigh scattering , generalized beta distribution , probability distribution , distribution (mathematics) , statistical physics , probability density function , distribution fitting , mathematical analysis , physics , optics
In this paper, we introduce a new four parameter continuous model, called the beta compound Rayleigh (BCR) distribution that extends the compound Rayleigh distribution. Basic properties of the proposed distribution such as; mean, variance, coefficient of variation, raw and incomplete moments, skewness, kurtosis, moment and probability generating functions, reliability analysis, Lorenz, Bonferroni and Zenga curves, Rényi of entropy, order statistics and record statistics are investigated. We obtain the maximum likelihood estimates and the observed information matrix for the model parameters. Two real data sets are used to illustrate the usefulness of the new model.