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Small-sample properties of the maximum likelihood estimator in the first-order moving average model
Journal article   Peer reviewed

Small-sample properties of the maximum likelihood estimator in the first-order moving average model

JONATHAN D. Cryer and JOHANNES Ledolter
Biometrika, Vol.68(3), pp.691-694
12/1981
DOI: 10.1093/biomet/68.3.691

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Abstract

In this paper we discuss finite sample properties of the maximum likelihood estimator θ^ in the first-order moving average model. We give a theoretical explanation for the concentration of θ^ values at the invertibility boundary. We derive the exact distribution of θ^ for sample size n=2 which is found to be of mixed type. For general n we give approximations for pr (θ^=1).
First-order moving average Maximum likelihood Time series

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