on the extended marshall-olkin-nadarajah family of distributions

Marshall and olkin (1997) introduced a family of distributions that areobtained by adding a parameter to other distributions. santos-neto et al. (2014) conducteda study on the family of generalized weibull distributions . in 2012, nadarajahand his colleagues complemented marshall and olkin’s work by adding two parametersto the distribution. in this paper, the families of generalized two-parameter weibulldistributions have been studied and various issues such as survival function, hazardfunction, incomplete moments, renyi and shannon entropies, and bayesian statisticsunder some error loss functions are presented. finally, a simulation study is presented.