Mallows’ quasi-likelihood estimation for log-linear Poisson autoregressions

Kitromilidou, S. and Fokianos, K. (2016) Mallows’ quasi-likelihood estimation for log-linear Poisson autoregressions. Statistical Inference for Stochastic Processes, 19 (3). pp. 337-361.

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We consider the problems of robust estimation and testing for a log-linear model with feedback for the analysis of count time series. We study inference for contaminated data with transient shifts, level shifts and additive outliers. It turns out that the case of additive outliers deserves special attention. We propose a robust method for estimating the regression coefficients in the presence of interventions. The resulting robust estimators are asymptotically normally distributed under some regularity conditions. A robust score type test statistic is also examined. The methodology is applied to real and simulated data.

Item Type:
Journal Article
Journal or Publication Title:
Statistical Inference for Stochastic Processes
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Deposited On:
01 Oct 2018 09:20
Last Modified:
22 Nov 2022 06:22