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In modern data analysis, it is common to select a model before performing statistical inference. Selective inference tools make adjustments for the model selection process in order to ensure reliable inference post selection. In this paper,…

统计方法学 · 统计学 2025-02-24 Yumeng Wang , Snigdha Panigrahi , Xuming He

Test-Time Adaptation (TTA) has recently emerged as a promising approach for tackling the robustness challenge under distribution shifts. However, the lack of consistent settings and systematic studies in prior literature hinders thorough…

机器学习 · 计算机科学 2023-06-07 Hao Zhao , Yuejiang Liu , Alexandre Alahi , Tao Lin

We compare two recently proposed methods that combine ideas from conformal inference and quantile regression to produce locally adaptive and marginally valid prediction intervals under sample exchangeability (Romano et al., 2019;…

统计方法学 · 统计学 2020-03-03 Matteo Sesia , Emmanuel J. Candès

We consider nonparametric estimation of mean regression and conditional variance (or volatility) functions in nonlinear stochastic regression models. Simultaneous confidence bands are constructed and the coverage probabilities are shown to…

统计理论 · 数学 2008-08-08 Zhibiao Zhao , Wei Biao Wu

We investigate model assessment and selection in a changing environment, by synthesizing datasets from both the current time period and historical epochs. To tackle unknown and potentially arbitrary temporal distribution shift, we develop…

机器学习 · 计算机科学 2024-06-05 Elise Han , Chengpiao Huang , Kaizheng Wang

The quantile varying coefficient (VC) model can flexibly capture dynamical patterns of regression coefficients. In addition, due to the quantile check loss function, it is robust against outliers and heavy-tailed distributions of the…

统计方法学 · 统计学 2023-07-11 Fei Zhou , Jie Ren , Shuangge Ma , Cen Wu

An important assumption in the work on testing for structural breaks in time series consists in the fact that the model is formulated such that the stochastic process under the null hypothesis of "no change-point" is stationary. This…

统计方法学 · 统计学 2015-03-31 Holger Dette , Weichi Wu , Zhou Zhou

The classic censored regression model (tobit model) has been widely used in the economic literature. This model assumes normality for the error distribution and is not recommended for cases where positive skewness is present. Moreover, in…

统计方法学 · 统计学 2021-03-09 Danúbia R. Cunha , Jose A. Divino , Helton Saulo

Many studies use shift-share (or ``Bartik'') instruments, which average a set of shocks with exposure share weights. We provide a new econometric framework for shift-share instrumental variable (SSIV) regressions in which identification…

计量经济学 · 经济学 2021-01-01 Kirill Borusyak , Peter Hull , Xavier Jaravel

In this paper, we present an algorithm for learning time-correlated measurement covariances for application in batch state estimation. We parameterize the inverse measurement covariance matrix to be block-banded, which conveniently…

机器人学 · 计算机科学 2023-03-14 David J. Yoon , Timothy D. Barfoot

Assume that we observe a large number of curves, all of them with identical, although unknown, shape, but with a different random shift. The objective is to estimate the individual time shifts and their distribution. Such an objective…

应用统计 · 统计学 2015-03-13 T. Trigano , U. Isserles , Y. Ritov

Learning from weak, proxy, or relative supervision is common when ground-truth labels are unavailable, but robustness under distribution shift remains poorly understood because the supervision mechanism itself may change across…

机器学习 · 计算机科学 2026-05-20 Mehrdad Shoeibi , Elias Hossain , Ivan Garibay , Niloofar Yousefi

This paper considers an estimation of semiparametric functional (varying)-coefficient quantile regression with spatial data. A general robust framework is developed that treats quantile regression for spatial data in a natural…

统计理论 · 数学 2014-02-06 Zudi Lu , Qingguo Tang , Longsheng Cheng

In this work, we introduce statistical testing under distributional shifts. We are interested in the hypothesis $P^* \in H_0$ for a target distribution $P^*$, but observe data from a different distribution $Q^*$. We assume that $P^*$ is…

统计方法学 · 统计学 2022-05-03 Nikolaj Thams , Sorawit Saengkyongam , Niklas Pfister , Jonas Peters

The estimation of regression parameters in spatially referenced data plays a crucial role across various scientific domains. A common approach involves employing an additive regression model to capture the relationship between observations…

统计理论 · 数学 2024-03-29 David Bolin , Jonas Wallin

The wild bootstrap is the resampling method of choice in survival analytic applications. Theoretic justifications rely on the assumption of existing intensity functions which is equivalent to an exclusion of ties among the event times.…

统计理论 · 数学 2024-09-11 Dennis Dobler , Merle Munko

The paper studies nonstationary high-dimensional vector autoregressions of order $k$, VAR($k$). Additional deterministic terms such as trend or seasonality are allowed. The number of time periods, $T$, and the number of coordinates, $N$,…

计量经济学 · 经济学 2023-11-29 Anna Bykhovskaya , Vadim Gorin

It is well known that it is impossible to construct useful confidence intervals (CIs) about the mean or median of a response $Y$ conditional on features $X = x$ without making strong assumptions about the joint distribution of $X$ and $Y$.…

统计方法学 · 统计学 2024-01-29 Jayoon Jang , Emmanuel Candès

Many problems that appear in biomedical decision making, such as diagnosing disease and predicting response to treatment, can be expressed as binary classification problems. The costs of false positives and false negatives vary across…

We consider the problem of simultaneous variable selection and constant coefficient identification in high-dimensional varying coefficient models based on B-spline basis expansion. Both objectives can be considered as some type of model…

统计方法学 · 统计学 2010-08-16 Heng Lian
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