| 来源类型 | Working Paper
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| 规范类型 | 报告
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| DOI | 10.3386/w0127
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| 来源ID | Working Paper 0127
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| Identification Theory for Time Varying Models |
| Thomas F. Cooley; Kent D. Wall
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| 发表日期 | 1976-03-01
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| 出版年 | 1976
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| 语种 | 英语
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| 摘要 | The identification of time-varying coefficient regression models is investigated using an analysis of the classical information matrix. The variable coefficients are characterized by autoregressive stochastic processes, allowing the entire model to be case in state space form. Thus the unknown stochastic specification parameters and priors can be interpreted in terms of the coefficient matrices and initial state vector. Concentration of the likelihood function on these quantities allows the identification of each to be considered separately. Suitable restriction of the form of the state space model, coupled with the concept of controllability, lead to sufficient conditions for the identification of the coefficient transition parameters. Partial identification of the variance-covariance matrix for the random disturbances on the coefficients is established in a like manner. Introducing the additional concept of observability then provides for necessary and sufficient conditions for identification of the unknown priors. The results so obtained are completely analogous to those already established in the econometric literature, namely, that the coefficients of the reduced form are always identified subject to the absence of multicollinearity. Some consistency results are also presented which derive from the above approach. |
| URL | https://www.nber.org/papers/w0127
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| 来源智库 | National Bureau of Economic Research (United States)
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| 引用统计 |
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/557323
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推荐引用方式
GB/T 7714 |
Thomas F. Cooley,Kent D. Wall. Identification Theory for Time Varying Models. 1976.
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文件名：
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w0127.pdf
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格式：
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Adobe PDF
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