On moment-type estimators for a class of log-symmetric distributions

In this paper, we propose three simple closed form estimators for a class of log-symmetric distributions on R+. The proposed methods make use of some key properties of this class of distributions.We derive the asymptotic distributions of these estimators. The performance of the proposed estimators a...

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Detalles Bibliográficos
Autores: Balakrishnan, N., Saulo, Helton, Bourguignon, Marcelo, Zhu, Xiaojun
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Institución:Universidade Federal do Rio Grande do Norte (UFRN)
Repositorio:Repositório Institucional da UFRN
Idioma:inglés
OAI Identifier:oai:repositorio.ufrn.br:123456789/49679
Acceso en línea:https://repositorio.ufrn.br/handle/123456789/49679
Access Level:acceso abierto
Palabra clave:Asymptotic normality
Hodges–Lehmann estimator
Log-symmetric distributions
Maximum likelihood estimator
Moment estimator
Modified moment estimator
Descripción
Sumario:In this paper, we propose three simple closed form estimators for a class of log-symmetric distributions on R+. The proposed methods make use of some key properties of this class of distributions.We derive the asymptotic distributions of these estimators. The performance of the proposed estimators are then compared with those of themaximum likelihood estimators through MonteCarlo simulations. Finally, some illustrative examples are presented to illustrate the methods of estimation developed here.