A power log-Dagum distribution: estimation and applications

Abstract

Development and application of probability models in data analysis are of major importance for all sciences. Therefore, we introduce a new model called a power log-Dagum distribution defined on the entire real line. The model contains many new sub-models: power logistic, linear log-Dagum, linear logistic and log-Dagum distributions among them. Some properties of the model including three different estimation procedures are justified. The model exhibits various shapes for the density and hazard rate functions. Moreover, the estimation procedures are compared using simulation studies. Finally, the model with others are fitted to three data sets and it shows a better fit than the compared distributions defined on the real line.

T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function

“…Oluyede et al [8]; Silva et al [10]; and Bakouch et al [14], further supported the work of Nasiru et al [13].…”

“…Exponential-DagumLomax distribution is one of its submodels. e more significant a parameter of a distribution is, the more likely its fit is better to some datasets (see [8,10,13] and [14]).…”

“…e following Dagum distributions have been proposed: beta-Dagum distribution [5], Mc-Dagum Distribution [6], weighted Dagum distribution [7], gamma-Dagum distribution [8], exponentiated Kumaraswamy-Dagum distribution [9], extended Dagum distribution [10], transmuted Dagum distribution [11], Dagum-Poisson distribution [12], exponentiated generalized exponential Dagum distribution [13], and power log-Dagum distribution [14]. Johnson et al [15] asserted that the use of four-parameter distributions should be sufficient for most practical purposes and that at least three parameters are needed to model any real data, but they doubted any noticeable improvement arising from, including a fifth or sixth parameter.…”

“…For more detailed informations on the importance of using this method, T-R {Y}, see Aljarrah et al [16]; Alzaatreh et al [19,20]; Zubair et al [21]; and Famoye et al [22]. Also, for detailed knowledge of Dagum distribution, see Bandourian et al [4]; Kleiber and Kotz [2]; Kleiber [3]; Domma and Condino [5]; Oluyede and Rajasooriya [6]; Oluyede and Ye [7]; Oluyede et al [8]; Huang and Oluyede [9]; Silva et al [10]; Shahzad and Asghar [11]; Oluyede et al [12]; Nasiru et al [13]; and Bakouch et al [14].…”

The Zubair-dagum Distribution

“…Shahzad and Asghar [5] proposed the Transmuted Dagum distribution. Other distributions includes the beta-dagum distributions [6], MC-Dagum distribution [7], Gamma-Dagum distribution [8], Weighted Dagum distribution [9], Eponentiated Kumaraswamy-Dagum distribution [10], Dagum-poisson distribution [11], Exponentiated generalized exponential Dagum distribution [12], Power log-Dagum distribution [13], exponentiated exponential-Dagum{Lomax} distribution [14].…”