The new transformed Sine G family of distribution with inferences and application

This article introduces the New Transformed Sine G Family of distributions, which is a new probability distribution based on trigonometric transformation. It provides detailed derivations of the statistical properties associated with this distribution, such as the hazard function, survival function,...

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Detalhes bibliográficos
Autores: Osi, Abdulhameed, Singh Raghav, Yasphal, Ahmad Sabo, Shamsuddeen, Zakariyya Musa, Ibrahim
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:Brasil
Recursos:Universidade Federal de Lavras (UFLA)
Repositorio:Brazilian Journal of Biometrics
Idioma:inglés
OAI Identifier:oai:biometria.ufla.br:article/755
Acesso em linha:https://biometria.ufla.br/index.php/BBJ/article/view/755
Access Level:acceso abierto
Palavra-chave:Statistical inference
Maximum likelihood
Estimation
NTS-G
Family distribution
Descrição
Resumo:This article introduces the New Transformed Sine G Family of distributions, which is a new probability distribution based on trigonometric transformation. It provides detailed derivations of the statistical properties associated with this distribution, such as the hazard function, survival function, inverse hazard, quantile function, moments, moment generating function, and the median. The parameter estimation of the model was conducted using the maximum likelihood method, and the performance of the estimation method was evaluated through Monte Carlo simulation. Furthermore, the applicability of the proposed distribution was demonstrated by analyzing two real datasets, where the model showed superior fit compared to existing distributions for these datasets.