The Mc-Dagum Distribution and Its Statistical Properties with Applications

Abstract

Abstract. In this paper, a new class of distributions called Mc-Dagum dis-tribution is proposed. This class of distributions contains several distributions such as beta-Dagum, beta-Burr III, beta-Fisk, Dagum, Burr III and Fisk dis-tributions as special cases. The hazard function, reverse hazard function, mo-ments, mean residual life function, Renyi entropy and Fisher information are obtained. Lorenz, Bonferroni and Zenga curves are derived. Maximum likeli-hood estimates of the model parameters and numerical examples are given to illustrate the usefulness of the proposed class of distributions. 1.