Nonparametric estimation of the expected accumulated reward for semi-Markov chains

In this paper a nonparametric estimator of the expected value of a discounted semi-Markov reward chain is proposed. Its asymptotic properties are established and as a consequence of the asymptotic normality the confidence sets are obtained. An application in quality of life modelling is described.

Detalles Bibliográficos
Autor: D'Amico, Guglielmo
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:97700
Acceso en línea:https://ddd.uab.cat/record/97700
Access Level:acceso abierto
Palabra clave:Discrete semi-Markov processes
Empirical estimators
Asymptotic properties
Quality of life
Descripción
Sumario:In this paper a nonparametric estimator of the expected value of a discounted semi-Markov reward chain is proposed. Its asymptotic properties are established and as a consequence of the asymptotic normality the confidence sets are obtained. An application in quality of life modelling is described.