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AI 根据所提供的论文材料归类:摘要直接研究序列相关下的 HAC 检验及其带宽选择,属于时间序列推断方法。

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异方差与自相关稳健检验的新渐近理论

研究问题
如何在异方差与自相关稳健检验的一阶近似中保留带宽和核函数的影响,并理解检验尺寸与功效的权衡?
方法与思路
作者令非参数协方差估计的带宽占样本量固定比例,推导显式依赖带宽与核的极限分布,并进行有限样本模拟。
材料陈述的贡献
摘要称,新近似在模拟中比传统渐近理论更准确,并揭示带宽选择的尺寸与功效权衡;其表现与自助法相近。
阅读关注点
应核对固定带宽比例的渐近设定、临界值计算、核函数选择,以及不同序列相关强度下尺寸与功效比较的设计。
阅读边界
仅据所给出版社摘要,无法判断具体理论条件和模拟结果幅度;与自助法相近的表现不构成普遍优越性结论。

原文摘要

A new first-order asymptotic theory for heteroskedasticity-autocorrelation (HAC) robust tests based on nonparametric covariance matrix estimators is developed. The bandwidth of the covariance matrix estimator is modeled as a fixed proportion of the sample size. This leads to a distribution theory for HAC robust tests that explicitly captures the choice of bandwidth and kernel. This contrasts with the traditional asymptotics (where the bandwidth increases more slowly than the sample size) where the asymptotic distributions of HAC robust tests do not depend on the bandwidth or kernel. Finite-sample simulations show that the new approach is more accurate than the traditional asymptotics. The impact of bandwidth and kernel choice on size and power of t-tests is analyzed. Smaller bandwidths lead to tests with higher power but greater size distortions, and large bandwidths lead to tests with lower power but smaller size distortions. Size distortions across bandwidths increase as the serial correlation in the data becomes stronger. Overall, the results clearly indicate that for bandwidth and kernel choice there is a trade-off between size distortions and power. Finite-sample performance using the new asymptotics is comparable to the bootstrap, which suggests that the asymptotic theory in this paper could be useful in understanding the theoretical properties of the bootstrap when applied to HAC robust tests.We thank an editor and a referee for constructive comments on a previous version of the paper. Helpful comments provided by Cliff Hurvich, Andy Levin, Jeff Simonoff, and seminar participants at NYU (Statistics), U. Texas Austin, Yale, U. Montreal, UCSD, UC Riverside, UC Berkeley, U. of Pittsburgh, SUNY Albany, U. Aarhus, Brown U., NBER/NSF Time Series Conference, and 2003 Winter Meetings of the Econometrics Society are gratefully acknowledged. We gratefully acknowledge financial support from the National Science Foundation through grant SES-0095211. We thank the Center for Analytic Economics at Cornell University.

笔记与分组