Transmuted Dagum distribution: A more flexible and broad shaped hazard function model

Abstract

In this article, we introduce an extended Dagum distribution, named as transmuted Dagum distribution which can be used for income distribution, actuarial, survival and reliability analysis. Main motivation for generalizing a standard distribution is to provide more flexible distribution to model a variety of data. The extended distribution has been expressed using quadratic rank transmutation map and its tractable properties like moments, moment generating, quantile, reliability and hazard functions are derived. The transmuted Dagum model provides the broader range of hazard behavior than the Dagum model. The densities of its order statistics, generalized TL-moments with its special cases are also studied. The parameters of the new model are estimated by maximum likelihood using Newton Raphson approach and the information matrix and confidence intervals are also obtained. To illustrate utility and potentiality of the proposed model, it has been applied to rainfall data for the city of Islamabad, Pakistan.

A new lifetime distribution: transmuted exponential power distribution

“…For example; Aryal and Tsokos [3,4] introduced transmuted Weibull and transmuted extreme value distributions. Ashour and Eltehiwy [5,6] proposed transmuted Lomax and transmuted exponentiated Lomax distributions, Merovci [18][19][20][21] introduced transmuted Rayleigh, transmuted Lindley, transmuted generalized Rayleigh and transmuted exponentiated Exponential distributions, Mahmoud and Mandouh [17] suggested transmuted Frechet distribution, Hussian [13] has introduced transmuted exponentiated Gamma distribution, Elbatal and Aryal [10] studied transmuted additive Weibull distribution, Khan et al [14][15][16] introduced transmuted Weibull distribution, transmuted Kumaraswamy distribution and transmuted generalized Gompertz distribution, Shahzad and Asghar [24] proposed transmuted Dagum distribution, Al-Babtain et.al. [2] introduced the Kumaraswamy-transmuted exponentiated modi…ed Weibull distribution.…”

Cubic Transmuted Dagum Distribution: Properties and Applications

“…Dagum distribution is widely used for modeling a wide range of data in several fields. It is very worthwhile for analyzing income distribution, actuarial, metrological data and equally preferable for survival analysis [6,1]. Moreover, it is considered to be the most suitable choice as compared to other three parameter distributions in several cases [2,3].…”

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

“…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].…”