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We study statistical inference for small-noise-perturbed multiscale dynamical systems under the assumption that we observe a single time series from the slow process only. We construct estimators for both averaging and homogenization…

概率论 · 数学 2018-09-13 Siragan Gailus , Konstantinos Spiliopoulos

This paper explores the effects of simulated moments on the performance of inference methods based on moment inequalities. Commonly used confidence sets for parameters are level sets of criterion functions whose boundary points may depend…

计量经济学 · 经济学 2018-04-12 Hiroaki Kaido , Jiaxuan Li , Marc Rysman

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

统计理论 · 数学 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

This paper considers the generation of prediction intervals (PIs) by neural networks for quantifying uncertainty in regression tasks. It is axiomatic that high-quality PIs should be as narrow as possible, whilst capturing a specified…

机器学习 · 统计学 2019-04-10 Tim Pearce , Mohamed Zaki , Alexandra Brintrup , Andy Neely

Causality lays the foundation for the trajectory of our world. Causal inference (CI), which aims to infer intrinsic causal relations among variables of interest, has emerged as a crucial research topic. Nevertheless, the lack of observation…

机器学习 · 计算机科学 2024-06-21 Yaochen Zhu , Yinhan He , Jing Ma , Mengxuan Hu , Sheng Li , Jundong Li

We present a new distribution-free conformal prediction algorithm for sequential data (e.g., time series), called the \textit{sequential predictive conformal inference} (\texttt{SPCI}). We specifically account for the nature that time…

机器学习 · 统计学 2023-05-31 Chen Xu , Yao Xie

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

计量经济学 · 经济学 2025-11-27 Bruno Fava

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

概率论 · 数学 2020-06-16 Xinjia Chen

It has become standard for empirical studies to conduct inference robust to cluster dependence and heterogeneity. With a small number of clusters, the normal approximation for the $t$-statistics of regression coefficients may be poor. This…

计量经济学 · 经济学 2026-03-27 Bulat Gafarov , Takuya Ura

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

机器学习 · 计算机科学 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

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

Interval identification of parameters such as average treatment effects, average partial effects and welfare is particularly common when using observational data and experimental data with imperfect compliance due to the endogeneity of…

计量经济学 · 经济学 2025-04-09 Sukjin Han , Adam McCloskey

We study linear regressions in a context where the outcome of interest and some of the covariates are observed in two different datasets that cannot be matched. Traditional approaches obtain point identification by relying, often…

计量经济学 · 经济学 2025-11-18 Xavier D'Haultfoeuille , Christophe Gaillac , Arnaud Maurel

The statistical analysis of clinical trials is often complicated by missing data. Patients sometimes experience intercurrent events (ICEs), which usually (although not always) lead to missing subsequent outcome measurements for such…

统计方法学 · 统计学 2025-07-03 Brendah Nansereko , Marcel Wolbers , James Carpenter , Jonathan Bartlett

There is a fast growing literature that set-identifies structural vector autoregressions (SVARs) by imposing sign restrictions on the responses of a subset of the endogenous variables to a particular structural shock (sign-restricted…

计量经济学 · 经济学 2018-02-08 Eleonora Granziera , Hyungsik Roger Moon , Frank Schorfheide

We consider inference in models defined by approximate moment conditions. We show that near-optimal confidence intervals (CIs) can be formed by taking a generalized method of moments (GMM) estimator, and adding and subtracting the standard…

计量经济学 · 经济学 2021-01-15 Timothy B. Armstrong , Michal Kolesár

We consider estimation and inference for a regression coefficient in panels with interactive fixed effects (i.e., with a factor structure). We demonstrate that existing estimators and confidence intervals (CIs) can be heavily biased and…

计量经济学 · 经济学 2025-05-13 Timothy B. Armstrong , Martin Weidner , Andrei Zeleneev

We are sometimes forced to use the Interrupted Time Series (ITS) design as an identification strategy for potential policy change, such as when we only have a single treated unit and no comparable controls. For example, with recent county-…

统计方法学 · 统计学 2020-02-17 Luke Miratrix

In medical settings, treatment assignment may be determined by a clinically important covariate that predicts patients' risk of event. There is a class of methods from the social science literature known as regression discontinuity (RD)…

统计方法学 · 统计学 2019-08-13 Youngjoo Cho , Chen Hu , Debashis Ghosh

Indirect inference requires simulating realisations of endogenous variables from the model under study. When the endogenous variables are discontinuous functions of the model parameters, the resulting indirect inference criterion function…

经济学 · 定量金融 2019-07-11 David T. Frazier , Tatsushi Oka , Dan Zhu