A new asymmetric extended family: Properties and estimation methods with actuarial applications

Article Statistics & Probability

The Alpha Power Marshall-Olkin-G Distribution: Properties, and Applications

Joseph Thomas Eghwerido et al.

Summary: In this article, a new family of distribution called the alpha power Marshall-Olkin-G (APMO-G) family of distributions was proposed, which provides a better fit for continuous distributions for lifetime processes. The comprehensive reliability structural properties of the proposed family were derived and various statistical characteristics were examined. The results demonstrated that the APMO-G density provides a better fit compared to other existing models.

SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY (2023)

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Article Engineering, Multidisciplinary

Mixture probability distribution functions using novel metaheuristic method in wind speed modeling

Amr Khaled Khamees et al.

Summary: Wind speed modeling is crucial for predicting wind energy potential and utilizing wind power effectively. Mixture probability distribution functions can improve the fitting of wind speed frequency distribution and reduce errors. This study compares the fitness of different distribution functions and finds that mixture Weibull distributions perform the best.

AIN SHAMS ENGINEERING JOURNAL (2022)

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Article Multidisciplinary Sciences

The Marshall-Olkin-Weibull-H family: Estimation, simulations, and applications to COVID-19 data

Ahmed Z. Afify et al.

Summary: A new extended Weibull-H family is defined and its mathematical properties are examined. The study demonstrates that this family is highly competitive compared to the beta-G and Kumaraswamy-G classes, which are widely cited in Google Scholar. The flexibility of a specified sub-model is confirmed through two applications using COVID-19 data.

JOURNAL OF KING SAUD UNIVERSITY SCIENCE (2022)

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Article Physics, Multidisciplinary

Bayesian and Frequentist Inferences on a Type I Half-Logistic Odd Weibull Generator with Applications in Engineering

Mahmoud EL-Morshedy et al.

Summary: In this article, a new generalization method of a distribution family is proposed by consolidating two notable distribution families, and various mathematical properties of the proposed family are derived. The parameter estimation of special models is discussed using several methods.

ENTROPY (2021)

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Article Engineering, Multidisciplinary

A generalization of the Inverse Weibull model: Properties and applications

Mansour Shrahili

Summary: A new flexible extension of the Inverse Weibull distribution is proposed and studied, showing its ability to fit various shapes of data distribution and outperform many important competitive models in real data sets.

AIN SHAMS ENGINEERING JOURNAL (2021)

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Article Mathematics

A New Flexible Family of Continuous Distributions: The Additive Odd-G Family

Emrah Altun et al.

Summary: This paper introduces a new family of distributions based on the additive model structure, comprising three submodels. Two simulation studies were conducted to discuss the maximum likelihood estimators of model parameters, and a log location-scale regression model based on a new generalization of the Weibull distribution was introduced. Three datasets were used to illustrate the importance of the proposed family, and empirical results showed that it is quite competitive compared to other models.

MATHEMATICS (2021)

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Article Statistics & Probability