The exponentiated-log-logistic geometric distribution: Dual activation

Natalie V. R. Mendoza, Edwin M. M. Ortega, Gauss M. Cordeiro
2015 Communications in Statistics - Theory and Methods  
The log-logistic distribution is commonly used to model lifetimes. We propose a wider distribution called the exponentiated log-logistic geometric distribution, based on a double activation approach. We obtain the quantile function, ordinary moments and generating function. The method of maximum likelihood is used to estimate the model parameters. We propose a new extended regression model based on the logarithm of the exponentiated log-logistic geometric distribution. This regression model can
more » ... be very useful in the analysis of real data and could provide better fits than other special regression models. The potentiality of the new models is illustrated by means of two applications to real lifetime data sets.
doi:10.1080/03610926.2014.909937 fatcat:k67mbvd7yjbzlon5kkegmkgyxa