Abstract:
New distributions namely, Lindley-Weibull Power Series (LWPS) class of
distributions and the special case called Lindley-Weibull logarithmic (LWL)
distribution, a new gamma generalized Lindley log-logistic (GELLLoG)
distribution, Marshall-Olkin Lindley log-logistic (MOLLLoG) distribution and
half logistic log-logistic Weibull (HLLLoGW) distribution and their sub-models
are presented. Structural properties including hazard and reverse hazard
functions, quantile function, moments, conditional moments, mean deviations,
Bonferroni and Lorenz curves, Renyi entropy, distribution of order statistics ´
and maximum likelihood estimates of the above proposed distributions are
presented. Applications of the presented models to real data sets are given in
order to illustrate the applicability and usefulness of the proposed distributions.
These distributions were also compared to some non-nested models.
