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Closed Form Estimators for the Inverse Gamma and Beta Prime Distributions: Accepted July 2025

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Detalhes bibliográficos
Resumo:Closed form estimators for the parameters of inverse gamma and beta prime distributions have not been known.  The closed form estimators proposed in Iranmanesh, Vajargah and Hasanzadeh [Mathematical Sciences, 12, 2018, 71-77] are approximations.  In this note, exact closed form estimators and their asymptotic distributions are derived for the inverse gamma and beta prime distributions.  The better performance of the proposed estimators over the corresponding maximum likelihood estimators is noted.  
Autores principais:Nawa, Victor
Outros Autores:Nadarajah, Saralees; Nadarajah, Saraleesan
Assunto:beta distribution covariance gamma distribution variance
Ano:2025
País:Portugal
Tipo de documento:artigo
Tipo de acesso:unknown
Instituição associada:Instituto Nacional de Estatística
Idioma:inglês
Origem:REVSTAT-Statistical Journal
Descrição
Resumo:Closed form estimators for the parameters of inverse gamma and beta prime distributions have not been known.  The closed form estimators proposed in Iranmanesh, Vajargah and Hasanzadeh [Mathematical Sciences, 12, 2018, 71-77] are approximations.  In this note, exact closed form estimators and their asymptotic distributions are derived for the inverse gamma and beta prime distributions.  The better performance of the proposed estimators over the corresponding maximum likelihood estimators is noted.