Some new results for the transmuted generalized gamma distribution

Saboor, Abdus; Khan, Muhammad Nauman; Cordeiro, Gauss M.; Pascoa, Marcelino A. R.; Ramos, Pedro Luiz; Kamal, Mustafa

doi:10.1016/j.cam.2018.12.002

Cited by 4 publications

(2 citation statements)

References 15 publications

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“…The first dataset is from Ref. [13], which represents the remission times (in months) of a random sample of 128 bladder cancer patients. We fit the dataset by BS and three generalized BS distributions.…”

Section: Real Data Analysismentioning

confidence: 99%

A class of generalized Birnbaum‐Saunders distributions for reliability modeling

2020

Quality & Reliability Eng

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In this paper, we generalize the Birnbaum‐Saunders (BS) distribution by two ways. One is based on the mixture representation of BS distribution, and a flexible weight is adopted to describe the kurtosis of the distribution. The other way is based on the transformation property of BS distribution, and we incorporate a power parameter in the transformation to describe the skewness of the distribution. Then a four‐parameter BS distribution including skewness and kurtosis parameters is induced by combining the two ways. The properties of these generalized BS distributions are investigated. Then, the expectation maximization (EM) algorithm is proposed to estimate the parameters. Real data analysis is performed to illustrate the superiority of the generalized BS distributions. Finally, some potential generalizations are discussed.

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Section: Real Data Analysismentioning

confidence: 99%

A class of generalized Birnbaum‐Saunders distributions for reliability modeling

2020

Quality & Reliability Eng

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“…There are two similar studies which are the generalized transmuted G family by [12] and generalized transmuted Weibull distribution by [13]. Also, by taking into account recent works, [15] introduced a new distribution named as transmuted generalized Gamma distribution. They use QRTM to generate this distribution family.…”

Section: Introductionmentioning

confidence: 99%

Some comments on methodology of cubic rank transmuted distributions

Hameldarbandi¹,

Yılmaz²

2020

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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In this study, at …rst a new polynomial rank transmutation is proposed. Then, a new cubic rank transmutation is introduced by simplifying the set of transmutation parameters in order to improve its usefulness in statistical modeling. The purpose of this comment is to clarify some issues that exist in the methodology of obtaining the distribution by the cubic transmutation and the stage of proo…ng it. In this way, both the parameter space is expanded and the process of establishing the cubic transformed distribution family is given.

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Marshall Olkin Exponentiated Dagum Distribution: Properties and Applications

et al. 2023

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Marshall Olkin Exponentiated Dagum distribution (MOED) with four shape parameters and one scale parameter is proposed. Alternative expressions are derived for the newly proposed distribution to sort out lengthy calculations. Various properties of MOED are derived, including the measure of central tendency, the measure of dispersion, hazard rate and survival rate are also derived for the MOED. Moreover, the network properties are also derived, including moments, moment generating function, quantile function, median, and mean deviation random number generator. Estimation of parameters is done through MLE (Maximum likelihood estimation) method, and to assess the value of the proposed distribution, the performance of the parameter’s estimates is studied through Monte Carlo Simulation. Three real-life data sets are used to evaluate the application and to scrutinize the performance of MOED as compared to the Marshall Olkin Dagum (MOD) distribution, Exponentiated Dagum (ED) distribution, Dagum (D) distribution, Burr III distribution, Kumaraswamy Burr III (KBurr III) distribution, Kumaraswamy Log Logistic (KLL) distribution and Log Logistic (LL) distribution. Four information criteria are used to examine the performance of the MOED with other special cases. The results showed that the newly proposed distribution performs better than the compared distributions.

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Some new results for the transmuted generalized gamma distribution

Cited by 4 publications

References 15 publications

A class of generalized Birnbaum‐Saunders distributions for reliability modeling

A class of generalized Birnbaum‐Saunders distributions for reliability modeling

Some comments on methodology of cubic rank transmuted distributions

Marshall Olkin Exponentiated Dagum Distribution: Properties and Applications

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