摘要:We propose a new method of adding two parameters to a continuousdistribution that extends the idea rst introduced by Lehmann (1953)and studied by Nadarajah and Kotz (2006). This method leads to a newclass of exponentiated generalized distributions that can be interpreted as adouble construction of Lehmann alternatives. Some special models are discussed.We derive some mathematical properties of this class including theordinary moments, generating function, mean deviations and order statistics.Maximum likelihood estimation is investigated and four applicationsto real data are presented.
关键词:Exponentiated distribution; exponentiated generalized beta distribution;Kampe de Feriet function; Lauricella function; probability weighted;moment.