Distribution of the ML estimator of a MA (1) and a local level model

Although considerable attention has recently been paid to the behavior of the maximum likelihood estimator of simple moving average models, little progress has been made in finding a good approximation to its distribution in cases where the process is close to being noninvertible. In this paper a me...

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Detalhes bibliográficos
Autor principal: Shephard, N
Formato: Journal article
Idioma:English
Publicado em: Cambridge University Press 1993
Assuntos:
Descrição
Resumo:Although considerable attention has recently been paid to the behavior of the maximum likelihood estimator of simple moving average models, little progress has been made in finding a good approximation to its distribution in cases where the process is close to being noninvertible. In this paper a method is produced that gives an excellent approximation to the distribution function, even in the case where the process is strictly noninvertible. Also studied is the related problem of the distribution of the maximum likelihood estimator of the signal-to-noise ratio in the local level model.