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This article studies bootstrap inference for high dimensional weakly dependent time series in a general framework of approximately linear statistics. The following high dimensional applications are covered: (1) uniform confidence band for…

统计理论 · 数学 2014-08-12 Xianyang Zhang , Guang Cheng

We consider the problem of testing for long-range dependence in time-varying coefficient regression models, where the covariates and errors are locally stationary, allowing complex temporal dynamics and heteroscedasticity. We develop KPSS,…

统计理论 · 数学 2023-03-10 Lujia Bai , Weichi Wu

Log-based anomaly detection (LAD) is critical for ensuring the reliability of large-scale distributed systems. However, most existing LAD approaches assume centralized training, which is often impractical due to privacy constraints and the…

软件工程 · 计算机科学 2025-12-10 Yihan Liao , Jacky Keung , Zhenyu Mao , Jingyu Zhang , Jialong Li

We propose two approaches to estimate semiparametric discrete choice models for bundles. Our first approach is a kernel-weighted rank estimator based on a matching-based identification strategy. We establish its complete asymptotic…

计量经济学 · 经济学 2024-12-18 Fu Ouyang , Thomas Tao Yang

We propose two approaches to estimate semiparametric discrete choice models for bundles. Our first approach is a kernel-weighted rank estimator based on a matching-based identification strategy. We establish its complete asymptotic…

计量经济学 · 经济学 2024-12-18 Fu Ouyang , Thomas T. Yang

Most linear experimental design problems assume homogeneous variance although heteroskedastic noise is present in many realistic settings. Let a learner have access to a finite set of measurement vectors $\mathcal{X}\subset \mathbb{R}^d$…

The advantages of adaptive experiments have led to their rapid adoption in economics, other fields, as well as among practitioners. However, adaptive experiments pose challenges for causal inference. This note suggests a BOLS (batched…

计量经济学 · 经济学 2025-12-12 Jan Kemper , Davud Rostam-Afschar

Heteroskedasticity poses several methodological challenges in designing valid and powerful procedures for simultaneous testing of composite null hypotheses. In particular, the conventional practice of standardizing or re-scaling…

统计方法学 · 统计学 2025-09-04 Bowen Gang , Trambak Banerjee

Violation of the assumptions underlying classical (Gaussian) limit theory often yields unreliable statistical inference. This paper shows that the bootstrap can detect such violations by delivering simple and powerful diagnostic tests that…

计量经济学 · 经济学 2025-10-09 Giuseppe Cavaliere , Luca Fanelli , Iliyan Georgiev

Tests based on heteroskedasticity robust standard errors are an important technique in econometric practice. Choosing the right critical value, however, is not simple at all: conventional critical values based on asymptotics often lead to…

统计理论 · 数学 2025-05-07 Benedikt M. Pötscher , David Preinerstorfer

Bootstrapping is often applied to get confidence limits for semiparametric inference of a target parameter in the presence of nuisance parameters. Bootstrapping with replacement can be computationally expensive and problematic when…

Recent advances in molecular simulations allow the evaluation of previously unattainable observables, such as rate constants for protein folding. However, these calculations are usually computationally expensive and even significant…

应用统计 · 统计学 2019-03-27 Barmak Mostofian , Daniel M. Zuckerman

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

机器学习 · 计算机科学 2021-08-13 Benjamin Gravell , Tyler Summers

In this paper we consider a heteroscedastic transformation model, where the transformation belongs to a parametric family of monotone transformations, the regression and variance function are modelled nonparametrically and the error is…

统计方法学 · 统计学 2014-12-01 Natalie Neumeyer , Hohsuk Noh , Ingrid Van Keilegom

In this paper an autoregressive time series model with conditional heteroscedasticity is considered, where both conditional mean and conditional variance function are modeled nonparametrically. A test for the model assumption of…

统计理论 · 数学 2016-10-12 Marie Hušková , Natalie Neumeyer , Tobias Niebuhr , Leonie Selk

The identification of causal effects in observational studies typically relies on two standard assumptions: unconfoundedness and overlap. However, both assumptions are often questionable in practice: unconfoundedness is inherently…

统计方法学 · 统计学 2025-09-17 Han Cui , Xinran Li

Model misspecification is ubiquitous in data analysis because the data-generating process is often complex and mathematically intractable. Therefore, assessing estimation uncertainty and conducting statistical inference under a possibly…

统计方法学 · 统计学 2023-12-19 Rong Li , Yichen Qin , Yang Li

We prove the asymptotic mixed normality of the least absolute deviation (LAD) estimator for a locally $\alpha$-stable stochastic differential equation (SDE) observed at high frequency, where $\alpha\in(0,2)$. We investigate both ergodic and…

统计理论 · 数学 2026-03-31 Oleksii M. Kulyk , Hiroki Masuda

We propose a hypothesis test that allows for many tested restrictions in a heteroskedastic linear regression model. The test compares the conventional F statistic to a critical value that corrects for many restrictions and conditional…

计量经济学 · 经济学 2023-01-24 Stanislav Anatolyev , Mikkel Sølvsten

Weak-identification-robust tests for instrumental variable (IV) regressions are typically developed separately depending on whether the number of IVs is treated as fixed or increasing with the sample size, forcing researchers to make a…

计量经济学 · 经济学 2025-10-01 Dennis Lim , Wenjie Wang , Yichong Zhang