Nonlinear Poisson autoregression

Fokianos, K. and Tjøstheim, D. (2012) Nonlinear Poisson autoregression. Annals of the Institute of Statistical Mathematics, 64 (6). pp. 1205-1225. ISSN 0020-3157

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Abstract

We study statistical properties of a class of non-linear models for regression analysis of count time series. Under mild conditions, it is shown that a perturbed version of the model is geometrically ergodic and possesses moments of any order. This result turns out to be instrumental on deriving large sample properties of the maximum likelihood estimators of the regression parameters. The theory is illustrated with examples.

Item Type:
Journal Article
Journal or Publication Title:
Annals of the Institute of Statistical Mathematics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2613
Subjects:
?? GEOMETRIC ERGODICITYLINK FUNCTION MAXIMUM LIKELIHOOD ESTIMATIONPERTURBATION SMOOTH TRANSITION MODELS STATISTICS AND PROBABILITY ??
ID Code:
127805
Deposited By:
Deposited On:
01 Oct 2018 10:48
Refereed?:
Yes
Published?:
Published
Last Modified:
17 Sep 2023 02:22