论文信息 - ON THE PROBABILITY OF ESTIMATING A DETERMINISTIC COMPONENT IN THE LOCAL LEVEL MODEL

ON THE PROBABILITY OF ESTIMATING A DETERMINISTIC COMPONENT IN THE LOCAL LEVEL MODEL

Abstract. A local level model has a deterministic level when the signal‐to‐noise ratio q is zero. In this paper we investigate the properties of the maximum likelihood estimator of q, paying particular attention to the case where its true value is zero. These properties are shown to be crucially dependent on the initial conditions employed.

Andrew Harvey | Neil Shephard | N. Shephard | A. Harvey

[1] T. W. Anderson,et al. WHY DO NONINVERTIBLE ESTIMATED MOVING AVERAGES OCCUR , 1986 .

[2] Asymptotic Properties of the Maximum-Likelihood and Nonlinear Least-Squares Estimators for Noninvertible Moving Average Models , 1989, Econometric Theory.

[3] T. W. Anderson,et al. Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes , 1952 .

[4] Piet de Jong,et al. The likelihood for a state space model , 1988 .

[5] J. Sargan,et al. Maximum Likelihood Estimation of Regression Models with First Order Moving Average Errors When the Root Lies on the Unit Circle , 1983 .

[6] J. Muth. Optimal Properties of Exponentially Weighted Forecasts , 1960 .

[7] A. C. Harvey,et al. The Effects of Seat Belt Legislation on British Road Casualties: A Case Study in Structural Time Series Modelling , 1986 .

[8] Johannes Ledolter,et al. Small-sample properties of the maximum likelihood estimator in the first-order moving average model , 1981 .

[9] C. Granger,et al. Co-integration and error correction: representation, estimation and testing , 1987 .

[10] E. Fama,et al. Permanent and Temporary Components of Stock Prices , 1988, Journal of Political Economy.

[11] Edward C. Prescott,et al. Estimation in the Presence of Stochastic Parameter Variation , 1976 .

[12] Seiji Nabeya,et al. Asymptotic Theory of a Test for the Constancy of Regression Coefficients Against the Random Walk Alternative , 1988 .