Seasonal Adjustment of Data for Econometric Analysis
用于计量经济分析的数据季节调整AI 解读 ↓
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用于计量经济分析的数据季节调整
- 研究问题
- 用于计量经济分析的季节调整，应如何在联立方程框架中处理结构方程估计，避免直接最小二乘可能产生的偏差？
- 方法与思路
- 作者将季节调整表述为联立方程系统中的单方程参数估计问题，推导识别条件和估计方法，并概述多变量扩展。
- 材料陈述的贡献
- 摘要称给出参数识别及构造一致、渐近无偏且有效估计的方法，并区分经济序列调整与用于计量分析的调整问题。
- 阅读关注点
- 应核对结构方程识别条件、直接最小二乘可成立的特殊假设，以及本篇结果与摘要回顾的既有季节调整公理的区别。
- 阅读边界
- 材料为稿件版本未注明的 OpenAlex 索引摘要；特殊假设和具体估计公式未说明，不能将先前工作的公理性结果归为本文贡献。
原文摘要
An earlier paper [3] provides axioms for the seasonal adjustment of economic time series. Seasonally adjusted data should be minimum variance, unbiased, and linear in an appropriate sense. These axioms yield a unique method for seasonal adjustment. The seasonally adjusted data may be obtained by an application of ordinary least squares regression.1 The problem of seasonal adjustment of economic time series in [3] is not the same as the problem of seasonal adjustment of data for econometric analysis.2 The first problem is completely resolved by appeal to the axioms of minimum variance, unbiasedness, and linearity. The second problem requires formulation as a standard problem in econometrics: estimation of the parameters of a single equation in a system of simultaneous equations. Lovell [4] has proposed to solve the problem of seasonal adjustment of data for econometric analysis by applying ordinary least squares directly to a structural equation in a system of simultaneous equations. Ordinary least squares estimation of the parameters of a structural equation usually results in “least squares bias.” However, under certain special assumptions such a procedure can be justified, as Wold [6] has pointed out. Under these assumptions Lovell's procedure is valid. In this paper the seasonal adjustment of data for econometric analysis is formulated as a general simultaneous equations problem. Conditions for identification of the parameters to be estimated and methods for constructing consistent and asymptotically unbiased and efficient estimates are derived. Extensions to multivariate problems of seasonal adjustment for econometric analysis are sketched.