The Topp Leone-G Power Series class of distributions with applications

Abstract:

We present a new class of distributions called the Topp-Leone-G Power Series (TL-GPS) class of distributions. This

model is obtained by compounding the Topp-Leone-G distribution with the power series distribution. Statistical prop erties of the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model were

obtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distribution

to assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poisson

distribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions.