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The History of Continuous-Time Econometric Models

连续时间计量经济模型的历史

Although it is only during the last decade that continuous-time models have been extensively used in applied econometric work, the development of statistical methods applicable to such models commenced over 40 years ago. The first significant contribution to the problem of estimating the parameters of continuous-time stochastic models from discrete data was made by the British statistician Bartlett [1946] only three years after the pioneering contribution of Haavelmo [1943]…

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The Estimation of Open Higher-Order Continuous Time Dynamic Models with Mixed Stock and Flow Data

混合存量与流量数据下含外生变量的高阶连续时间动态模型估计

This article extends recent work on the Gaussian or quasi-maximum likelihood estimation of the parameters of a closed higher-order continuous time dynamic model by introducing exogenous variables into the model The method presented yields exact maximum likelihood estimates when the innovations are Gaussian and the exogenous variables are polynomials in time of degree not exceeding two, and it can be expected to yield very good estimates under more general conditions. It is…

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The Estimation of Parameters in Nonstationary Higher Order Continuous-Time Dynamic Models

非平稳高阶连续时间动态模型的参数估计

This paper is concerned with derivation of a new efficient algorithm for computing the exact Gaussian likelihood for structural parameters in nonstationary higher-order continuous-time dynamic models and with its application in the estimation of these parameters. The algorithm completely avoids the computation of the covariance matrix of the observations and is applicable to a system of any order with mixed stock and flow data. It is used as the basis for an iterative…

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Gaussian Estimation of Structural Parameters in Higher Order Continuous Time Dynamic Models

高阶连续时间动态模型结构参数的高斯估计

This paper is concerned with the efficient estimation of structural parameters in closed linear systems of higher order stochastic differential equations when the data are in discrete form and the model generally includes both stock and flow variables. A general existence and uniqueness theorem for the solution of such a system is proved and used in the rigorous derivation of exact discrete models satisfied by the various types of data. It is shown how these models can be…

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