Abstract
In this paper, a new class of weighted Dagum and related distributions is proposed. Probability weighted moments of Dagum distribution and the resulting weighted distributions are presented. This class of distributions contains several weighted Dagum distributions such as length-biased Dagum, proportional hazard moment Dagum, proportional reverse hazard moment Dagum and Dagum distributions as special cases. Entropy and Fisher information of the weighted Dagum distribution are derived. We estimates the model parameters via the maximum likelihood estimation procedure. Examples and comparison of this model with the weighted generalized gamma, generalized gamma and generalized Lindley distributions are presented.
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