The beta odd log-logistic generalized family of distributions

Year 2016, Volume: 45 Issue: 4, 1175 - 1202, 01.08.2016

Gauss M Cordeiro Morad Alizadeh M.h. Tahir M. Mansoor Marcelo Bourguignon G.g. Hamedani

Abstract

We introduce a new family of continuous models called the
log-logistic generalized family
mathematical properties.
of distributions.
beta odd
We study some of its
Its density function can be symmetrical,
left-skewed, right-skewed, reversed-J, unimodal and bimodal shaped,
and has constant, increasing, decreasing, upside-down bathtub and
J-shaped hazard rates.
Five special models are discussed.
We ob-
tain explicit expressions for the moments, quantile function, moment
generating function, mean deviations, order statistics, Rényi entropy
and Shannon entropy. We discuss simulation issues, estimation by the
method of maximum likelihood, and the method of minimum spacing
distance estimator. We illustrate the importance of the family by means
of two applications to real data sets.

Keywords

Beta-G family, characterizations, exponential distribution, gener- alized family, log-logistic distribution, maximum likelihood, method of minimum spacing distance

References

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