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We address the challenge of estimation in the context of constant linear effect models with dense functional responses. In this framework, the conditional expectation of the response curve is represented by a linear combination of…

Methodology · Statistics 2024-10-07 Pratim Guha Niyogi , Ping-Shou Zhong

In this paper, we establish uniform asymptotic certainty bands for the conditional cumulative distribution function. To this aim, we give exact rate of strong uniform consistency for the local linear estimator of this function. The…

Statistics Theory · Mathematics 2014-07-21 Sandie Ferrigno , Bernard Foliguet , Myriam Maumy-Bertrand , Aurélie Muller-Gueudin

This paper considers estimation and inference for heterogeneous counterfactual effects with high-dimensional data. We propose a novel robust score for debiased estimation of the unconditional quantile regression (Firpo, Fortin, and Lemieux,…

Econometrics · Economics 2022-02-25 Yuya Sasaki , Takuya Ura , Yichong Zhang

This paper generalises inference functions (Godambe, 1960) to distributional statistical models, in which each probability measure is represented by a distribution--kernel pair $(T_\theta, \varphi) \in \mathcal S'(\mathbb R) \times \mathcal…

Statistics Theory · Mathematics 2026-05-20 R. Labouriau

Nonlinear panel data models with fixed individual effects provide an important set of tools for describing microeconometric data. In a large class of such models (including probit, proportional hazard and quantile regression to name just a…

Econometrics · Economics 2020-02-07 Antonio F. Galvao , Jiaying Gu , Stanislav Volgushev

Quantile regression is a powerful tool for learning the relationship between a response variable and a multivariate predictor while exploring heterogeneous effects. In this paper, we consider statistical inference for quantile regression…

Statistics Theory · Mathematics 2021-05-19 Xuming He , Xiaoou Pan , Kean Ming Tan , Wen-Xin Zhou

This paper proposes a new class of distributional causal quantities, referred to as the \textit{outcome conditioned partial policy effects} (OCPPEs), to measure the \textit{average} effect of a general counterfactual intervention of a…

Econometrics · Economics 2024-07-25 Zhengyu Zhang , Zequn Jin , Lihua Lin

Instrumental variable methods are among the most commonly used causal inference approaches to deal with unmeasured confounders in observational studies. The presence of invalid instruments is the primary concern for practical applications,…

Methodology · Statistics 2023-04-18 Zijian Guo

Competing risks data arise frequently in clinical trials. When the proportional subdistribution hazard assumption is violated or two cumulative incidence function (CIF) curves cross, rather than comparing the overall treatment effects,…

Applications · Statistics 2021-06-22 Jinbao Chen , Yawen Hou , Zheng Chen

Inferring the causal structure of a set of random variables from a finite sample of the joint distribution is an important problem in science. Recently, methods using additive noise models have been suggested to approach the case of…

Machine Learning · Statistics 2012-07-24 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

We consider the problem of distribution-free predictive inference, with the goal of producing predictive coverage guarantees that hold conditionally rather than marginally. Existing methods such as conformal prediction offer marginal…

Statistics Theory · Mathematics 2020-04-16 Rina Foygel Barber , Emmanuel J. Candès , Aaditya Ramdas , Ryan J. Tibshirani

Instead of testing for unanimous agreement, I propose learning how broad of a consensus favors one distribution over another (of earnings, productivity, asset returns, test scores, etc.). Specifically, given a sample from each of two…

Econometrics · Economics 2024-08-27 David M. Kaplan

We consider a longitudinal data structure consisting of baseline covariates, time-varying treatment variables, intermediate time-dependent covariates, and a possibly time dependent outcome. Previous studies have shown that estimating the…

Statistics Theory · Mathematics 2018-10-09 Linh Tran , Maya Petersen , Joshua Schwab , Mark J van der Laan

Many popular methods for building confidence intervals on causal effects under high-dimensional confounding require strong "ultra-sparsity" assumptions that may be difficult to validate in practice. To alleviate this difficulty, we here…

Statistics Theory · Mathematics 2019-05-06 Jelena Bradic , Stefan Wager , Yinchu Zhu

We study the causal effect with a functional treatment variable, where practical applications often arise in neuroscience, biomedical sciences, etc. Previous research concerning the effect of a functional variable on an outcome is typically…

Methodology · Statistics 2025-05-20 Ruoxu Tan , Wei Huang , Zheng Zhang , Guosheng Yin

With the increasing availability of datasets, developing data fusion methods to leverage the strengths of different datasets to draw causal effects is of great practical importance to many scientific fields. In this paper, we consider…

Methodology · Statistics 2023-07-18 Yijiao Zhang , Zhongyi Zhu

It is often of interest to make inference on an unknown function that is a local parameter of the data-generating mechanism, such as a density or regression function. Such estimands can typically only be estimated at a…

Methodology · Statistics 2021-05-17 Aaron Hudson , Marco Carone , Ali Shojaie

The classical concept of inequality curves and measures is extended to conditional inequality curves and measures and a curve of conditional inequality measures is introduced. This extension provides a more nuanced analysis of inequality in…

Statistics Theory · Mathematics 2025-04-23 Alicja Jokiel-Rokita , Sylwester Piątek , Rafał Topolnicki

We introduce new goodness-of-fit tests and corresponding confidence bands for distribution functions. They are inspired by multi-scale methods of testing and based on refined laws of the iterated logarithm for the normalized uniform…

Statistics Theory · Mathematics 2022-10-26 Lutz Duembgen , Jon A. Wellner

The ever-growing size of the datasets renders well-studied learning techniques, such as Kernel Ridge Regression, inapplicable, posing a serious computational challenge. Divide-and-conquer is a common remedy, suggesting to split the dataset…

Machine Learning · Statistics 2021-05-25 Valeriy Avanesov
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