Some new generalized distributions with applications

New generalized distributions namely Topp-Leone-G Power Series class of

distributions, Marshall-Olkin-Exponentiated Odd Exponential Half Logistic-G

family of distributions, Exponentiated Odd Exponential Half Logistic-G Power

Series class of distributions and Marshall-Olkin-Type II-Topp-Leone-G family

of distributions are presented. Properties of these generalized distributions

including series expansion of density functions, hazard functions, quantile

functions, moments, conditional moments, mean deviations, Bonferroni and

Lorenz curves, Renyi entropy and distribution of order statistics are discussed. ´

The maximum likelihood estimates of the model parameters are given and

simulation studies are performed to assess the consistency of the model

parameters. Real data sets are used on the presented models to illustrate their

usefulness in comparison to some non-nested distributions.