Transmuted Weibull Logistic Distribution

Nassar, Mohamed A.; Radwan, S.; Elmasry, A.

doi:10.24940/ijird/2017/v6/i4/113503-258338-1-sm

Cited by 3 publications

(2 citation statements)

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“…This section illustrates the performance of the new OBP-logistic model against several competitive models using data from gas fiber (GF), carbon fiber (CF) and magnesium concentrations (MC). The fitting flexibility of the OBP-logistic distribution is measured by comparing it to the gamma generalized logistic (GGL) distribution [74], new modified exponential logistic (NMEL) distribution [75], gamma-logistic (GL) distribution [45], exponential modified Weibull logistic (EMWL) distribution [76], exponentiated Weibull logistic (EWL) distribution [77], and transmuted Weibull logistic (TWL) distribution [78] using the statistical accuracy measures, such as the minimized (− l), the Akaike information criterion (AIC), Bayesian information criterion (BIC), Cramer-von Mises (CM), and Kolmogorov-Smirnov (KS) and Anderson-Darling (AD) statistics. Given the competitive models, the suitable model is the one that provides the lowest values of the aforementioned measures [79,80].…”

Section: Applicationsmentioning

confidence: 99%

A Novel Odd Beta Prime-Logistic Distribution: Desirable Mathematical Properties and Applications to Engineering and Environmental Data

et al. 2023

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In parametric statistical modeling, it is important to construct new extensions of existing probability distributions (PDs) that can make modeling data more flexible and help stakeholders make better decisions. In the present study, a new family of probability distributions (FPDs) called the odd beta prime generalized (OBP-G) FPDs is proposed to improve the traditional PDs. A new PD called the odd beta prime-logistic (OBP-logistic) distribution has been developed based on the developed OBP-G FPDs. Some desirable mathematical properties of the proposed OBP-logistic distribution, including the moments, moment-generating function, information-generating function, quantile function, stress–strength, order statistics, and entropies, are studied and derived. The proposed OBP-logistic distribution’s parameters are determined by adopting the maximum likelihood estimation (MLE) method. The applicability of the new PD was demonstrated by employing three data sets and these were compared by the known extended logistic distributions, such as the gamma generalized logistic distribution, new modified exponential logistic distribution, gamma-logistic distribution, exponential modified Weibull logistic distribution, exponentiated Weibull logistic distribution, and transmuted Weibull logistic distribution. The findings reveal that the studied distribution provides better results than the competing PDs. The empirical results showed that the new OBP-logistic distribution performs better than the other PDs based on several statistical metrics. We hoped that the newly constructed OBP-logistic distribution would be an alternative to other well-known extended logistic distributions for the statistical modeling of symmetric and skewed data sets.

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Section: Applicationsmentioning

confidence: 99%

A Novel Odd Beta Prime-Logistic Distribution: Desirable Mathematical Properties and Applications to Engineering and Environmental Data

et al. 2023

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“…Elgarhy et al (2017) introduced the transmuted generalized quasi Lindley distribution. Khan (2018) and Nassar et al (2019) obtained the transmuted generalized power Weibull distribution and transmuted Weibull Logistic Distribution, respectively. Aryal and Tsokos (2009) defined TGEV distribution and discussed some properties about the transmuted Gumbel distribution.…”

Section: Introductionmentioning

confidence: 99%

The transmuted GEV distribution: properties and application

Otiniano¹,

Paiva²,

Netob³

2019

CSAM

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Stability within family of Pareto models

Zahid¹

2018

BBIJ

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Transmutation technique is applied to extend the workability and flexibility of weighted Pareto distribution. A weighted probability distribution improves precision for predictability and transmuting the same produces a better model for data fitting. Various statistical properties including moments and quantiles, reliability analysis, mean deviation, order statistics and record values of transmuted weighted Pareto (TWP) distribution are studied. The parameters of the distribution are evaluated using Maximum Likelihood Estimation (MLE). Application study compares different Pareto models to reveal the stability between them. A simulation analysis is also performed.

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Transmuted Weibull Logistic Distribution

Cited by 3 publications

References 0 publications

A Novel Odd Beta Prime-Logistic Distribution: Desirable Mathematical Properties and Applications to Engineering and Environmental Data

A Novel Odd Beta Prime-Logistic Distribution: Desirable Mathematical Properties and Applications to Engineering and Environmental Data

The transmuted GEV distribution: properties and application

Stability within family of Pareto models

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