Estimators based on sample quantiles using (h,phi)-entropy measures

A point estimation procedure based on the maximum entropy principle for (h, phi) entropies is proposed using sample quantiles. These estimators are efficient and asymptotically normal under standard regularity conditions. A test for goodness-of-fit is constructed, being the corresponding statistic a...

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Detalles Bibliográficos
Autores: Menéndez Calleja, María Luisa, Pardo Llorente, Julio Ángel, Pardo Llorente, María del Carmen
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/57814
Acceso en línea:https://hdl.handle.net/20.500.14352/57814
Access Level:acceso abierto
Palabra clave:519.234
Maximum entropy principle
(h
phi)-entropy
Point estimator
Goodness-of-fit
Estadística matemática (Matemáticas)
1209 Estadística
Descripción
Sumario:A point estimation procedure based on the maximum entropy principle for (h, phi) entropies is proposed using sample quantiles. These estimators are efficient and asymptotically normal under standard regularity conditions. A test for goodness-of-fit is constructed, being the corresponding statistic asymptotically distributed chi-squared. These results generalize the results obtained in [1].