The Odd Burr-III Family of Distributions

Jamal, Farrukh; Nasir, M. Arslan; Tahir, M. H.; Montazeri, Narges H.

doi:10.18576/jsap/060109

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Introduction3

) the CD F Of Moeiw Is Given By1

Proposed T-dagum{y} Class1

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2018

2024

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Cited by 35 publications

(20 citation statements)

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“…The OBIII-G distribution of Jamal et al (2017) is the same as the one proposed by Arifa et al (2017), called Modified Burr III G (MBIIIG) distribution, which has been characterized in Hamedani (2017a).…”

Section: ) the CD F Of Moeiw Is Given Bysupporting

confidence: 54%

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Hamedani¹

2018

IJSP

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Section: ) the CD F Of Moeiw Is Given Bysupporting

confidence: 54%

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

Hamedani¹

2018

IJSP

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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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“…For c = b = 1, we obtain as a special case the MO-G family (Marshall and Olkin, 1997). The MOOB-G family is identical to the OBIII-G class (Jamal et al, 2017) when φ = 1 and it reduces to the baseline G distribution when φ = c = b = 1. The MOOB-G family can be quite effective for real data analysis.…”

Section: Introductionmentioning

confidence: 95%