A New Generalized Burr Family of Distributions Based on Quantile Function

Nasir, Arslan; Al‐Jarrah, Mohammad; Jamal, Farrukh; Tahir, M. H.

doi:10.18576/jsap/060306

Cited by 20 publications

(14 citation statements)

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“…In the literature, many authors have used this T-R{Y} framework to develop probability distributions, such as Aljarrah et al [16]; Alzatraah et al [19,20]; Nasir et al [25,26]; Jamal et al [27,28]; Zubair et al [21]; Famoye et al [22]; and Jamal and Nasir [29]. None of these authors has generalized Dagum distribution using this framework.…”

Section: Proposed T-dagum{y} Classmentioning

confidence: 99%

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

Ekum

Adamu

Akarawak

2020

Journal of Probability and Statistics

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Recently, different distributions have been generalized using the T-R {Y} framework but the possibility of using Dagum distribution has not been assessed. The T-R {Y} combines three distributions, with one as a baseline distribution, with the strength of each distribution combined to produce greater effect on the new generated distribution. The new generated distributions would have more parameters but would have high flexibility in handling bimodality in datasets and it is a weighted hazard function of the baseline distribution. This paper therefore generalized the Dagum distribution using the quantile function of Lomax distribution. A member of T-Dagum class of distribution called exponentiated-exponential-Dagum {Lomax} (EEDL) distribution was proposed. The distribution will be useful in survival analysis and reliability studies. Different characterizations of the distribution are derived, such as the asymptotes, stochastic ordering, stress-strength analysis, moment, Shannon entropy, and quantile function. Simulated and real data are used and compared favourably with existing distributions in the literature.

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Section: Proposed T-dagum{y} Classmentioning

confidence: 99%

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

Ekum

Adamu

Akarawak

2020

Journal of Probability and Statistics

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“…al [4] introduced T-normal family of distributions, Nasir et. al [5] investigated the generalized Burr family of distributions based on quantile function, Mudholkar et. al [6] worked on the Exponentiated Weibull family of distribution.…”

Section: Introductionmentioning

confidence: 99%

A novel family of lifetime distribution with applications to real and simulated data

2020

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The paper investigates a new scheme for generating lifetime probability distributions. The scheme is called Exponential-H family of distribution. The paper presents an application of this family by using the Weibull distribution, the new distribution is then called New Flexible Exponential distribution or in short NFE. Various statistical properties are derived, such as quantile function, order statistics, moments, etc. Two real-life data sets and a simulation study have been performed so that to assure the flexibility of the proposed model. It has been declared that the proposed distribution offers nice results than Exponential, Weibull Exponential, and Exponentiated Exponential distribution.

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“…al. (2013), the Weibull-X family by Alzaatreh et al (2013), the Gamma-X family by Alzaatreh et al (2014), the Exponentiated T-X family by Alzaghal et al (2013), the Weibull-G family by Bourguignon et al (2014), the Logistic-G family by Torabi and Montazari (2014), The T-Burr family by Nasir et al (2017), the Ofr family by Haq and Elgarhy (2018) and the TIIGE family by Hamedani et al (2018). All these families demonstrate nice theoretical and practical properties, offering new solutions in terms of statistical models for the practitioners.…”

Section: Introductionmentioning

confidence: 99%

“…The pdf of the general Frêchet distribution for p(t) has ever been considered in Haq and Elgarhy (2018) but with a completely different function W (x). On the other side, the considered function W (x) has ever been considered (as a quantile function) in Nasir et al (2017) but with a completely different pdf p(t). To the best of our knowledge, the TIIGIE family is new in the literature.…”

Section: Introductionmentioning

confidence: 99%

Type II general inverse exponential family of distributions

Jamal

Chesneau

Elgarhy

2019

Journal of Statistics and Management Systems

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In this paper, we introduce a new family of distributions based on the T-X transformation, the inverse exponential distribution, the odds function and the Lehmann type II distribution. We investigate its general mathematical properties, including moments, moment generating function, quantile function, entropies and order statistics. A statistical model is constructed from a special case of the family using the Bur III distribution (also known as exponentiated Lomax distribution) as baseline. The estimation of the parameters are performed by the maximum likelihood method and the least square method. Finally, we illustrate its importance by means of two applications to real life data sets.

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A New Generalized Burr Family of Distributions Based on Quantile Function

Cited by 20 publications

References 0 publications

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

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

A novel family of lifetime distribution with applications to real and simulated data

Type II general inverse exponential family of distributions

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