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本页整理公开书目信息,不生成学术质量评分。AI 解读根据题名及所注明的摘要或原文片段生成,未完成全文核验,可能有误;具体假设、证明与结论请核对原文。摘要保留来源文本,未经模型改写。

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分类依据与纠错

AI 根据所提供的论文材料归类:摘要核心是时间序列和回归残差自相关系数的联合推断,直接对应时间序列方向。

反馈分类问题

正在核对关联版本…

代码、数据与补充材料

正在核对对应版本的资源…

关注这篇论文的作者
Uwe Hassler
Marc-Oliver Pohle
Tanja Zahn

自相关系数的同时推断带

研究问题
如何为时间序列及回归残差的多个自相关系数构造同时显著性带与置信带,纠正逐点覆盖不足并允许条件异方差?
方法与思路
作者提出同时显著性带和置信带,为条件异方差提供稳健版本,并针对动态回归残差在渐近方差中加入相应修正项。
材料陈述的贡献
摘要称所提推断带易于构造且可同时量化抽样不确定性,并通过模拟及通胀、超额收益和 Phillips 曲线残差应用展示用途。
阅读关注点
应核对联合覆盖的构造方式、滞后阶数选择、异方差稳健方差估计,以及动态回归参数估计引出的修正项如何进入推断。
阅读边界
这是 arXiv 预印本,同行评审及期刊接收未经核实;摘要未列明依赖与矩条件,也未说明滞后维度增长时的覆盖保证。

原文摘要

Sample autocorrelograms typically come with significance (non-rejection) bands for the null hypothesis of no temporal correlation. These bands have three shortcomings. First, they build on pointwise intervals and suffer from joint undercoverage (overrejection) under the null hypothesis. Second, in cases where this null is clearly violated one would rather prefer to see confidence bands to quantify estimation uncertainty. Third, they are invalid under conditional heteroskedasticity. We propose both simultaneous significance and confidence bands for time series and series of regression residuals. Our simultaneous inference bands are as easy to construct as their pointwise counterparts and at the same time provide an intuitive and visual quantification of sampling uncertainty as well as valid statistical inference. For residuals from dynamic regressions, we show how our inference bands from the case of observed time series and static regressions need to be adjusted due to a correction term in the asymptotic variances. For all our bands, we also provide robust versions, allowing for conditional heteroskedasticity. We analyse the finite-sample performance of our inference bands in a simulation study and illustrate their use in applications to monthly US inflation, Fama-French excess returns and residuals from Phillips curve regressions.

笔记与分组
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