A new useful four-parameter extension of the Gumbel distribution: Properties, regression model and applications using the GAMLSS framework

DOI10.1080/03610918.2018.1423691zbMath1491.62014OpenAlexW2793599746MaRDI QIDQ5085969

Morad Alizadeh, Edwin M. M. Ortega, S. M. T. K. MirMostafaee, Maryam Samizadeh, Thiago G. Ramires

Publication date: 30 June 2022

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2018.1423691

zbMATH Keywords

maximum likelihood estimationGumbel distributionresidual analysisregression modelGAMLSS

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Applied statistics (educational aspects) (97K80) Foundations and methodology of statistics (educational aspects) (97K70)

Related Items (2)

A new regression model for rates and proportions data with applications ⋮ A flexible bimodal model with long-term survivors and different regression structures

Uses Software

• GAMLSS
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Cites Work

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• A new generalized Weibull family of distributions: mathematical properties and applications
• The beta Gumbel distribution
• A new family of generalized distributions
• Mixture inverse Gaussian distributions and its transformations, moments and applications
• The beta exponentiated Weibull distribution
• New regression model with four regression structures and computational aspects
• The Exponentiated Generalized Gumbel Distribution
• Modelling skewness and kurtosis with the BCPE density in GAMLSS
• A bimodal flexible distribution for lifetime data
• An alternative two-parameter gamma generated family of distributions: properties and applications
• The beta generalized half-normal geometric distribution
• Generalized Additive Models for Location, Scale and Shape

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