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We develop semiparametrically efficient inference for kernel measures of noise heterogeneity in additive noise models. In many applications, the regression function is estimated using flexible machine learning methods. Downstream procedures…

机器学习 · 统计学 2026-05-28 Jakub Wornbard , Zikai Shen , Dimitri Meunier , Arthur Gretton

This paper deals with the nonparametric density estimation of the regression error term assuming its independence with the covariate. The difference between the feasible estimator which uses the estimated residuals and the unfeasible one…

统计理论 · 数学 2010-10-05 Rawane Samb

This paper studies the non-parametric estimation and uniform inference for the conditional quantile regression function (CQRF) with covariates exposed to measurement errors. We consider the case that the distribution of the measurement…

统计方法学 · 统计学 2025-04-03 Haoze Hou , Wei Huang , Zheng Zhang

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…

统计方法学 · 统计学 2024-10-07 Pratim Guha Niyogi , Ping-Shou Zhong

We propose a nonparametric method for estimating the conditional quantile function that admits a generalized additive specification with an unknown link function. This model nests single-index, additive, and multiplicative quantile…

统计理论 · 数学 2023-06-07 Yebin Cheng , Jan G. De Gooijer

We consider regression models with parametric (linear or nonlinear) regression function and allow responses to be ``missing at random.'' We assume that the errors have mean zero and are independent of the covariates. In order to estimate…

统计理论 · 数学 2009-08-24 Ursula U. Müller

Multimodal regression estimation methods are introduced for regression models involving circular response and/or covariate. The regression estimators are based on the maximization of the conditional densities of the response variable over…

统计方法学 · 统计学 2024-01-10 María Alonso-Pena , Rosa M. Crujeiras

We consider identification, inference and validation of linear panel data models when both factors and factor loadings are accounted for by a nonparametric function. This general specification encompasses rather popular models such as the…

计量经济学 · 经济学 2025-06-13 Juan M. Rodriguez-Poo , Alexandra Soberon , Stefan Sperlich

This article investigates nonparametric estimation of variance functions for functional data when the mean function is unknown. We obtain asymptotic results for the kernel estimator based on squared residuals. Similar to the finite…

统计方法学 · 统计学 2008-12-16 Heng Lian

We study the coverage properties of full conformal regression in the proportional asymptotic regime where the ratio of the dimension and the sample size converges to a constant. In this setting, existing theory tells us only that full…

统计理论 · 数学 2025-03-03 Isaac Gibbs , Emmanuel J. Candès

This paper considers inference on functionals of semi/nonparametric conditional moment restrictions with possibly nonsmooth generalized residuals, which include all of the (nonlinear) nonparametric instrumental variables (IV) as special…

统计理论 · 数学 2018-01-04 Xiaohong Chen , Demian Pouzo

I develop a methodology to partially identify linear combinations of conditional mean outcomes when the researcher only has access to aggregate data. Unlike the existing literature, I only allow for marginal, not joint, distributions of…

计量经济学 · 经济学 2025-12-04 Sarah Moon

Conformal prediction provides prediction sets with finite-sample marginal coverage, but many applications require coverage guarantees that adapt to individual test points, a subpopulation, or a structural component of the data. Existing…

统计方法学 · 统计学 2026-05-27 Yinjie Min , Liuhua Peng , Changliang Zou

Conformal Prediction methods have finite-sample distribution-free marginal coverage guarantees. However, they generally do not offer conditional coverage guarantees, which can be important for high-stakes decisions. In this paper, we…

机器学习 · 统计学 2024-09-27 Ruijiang Gao , Mingzhang Yin , James McInerney , Nathan Kallus

Semiparametric single-index assumptions are convenient and widely used dimen\-sion reduction approaches that represent a compromise between the parametric and fully nonparametric models for regressions or conditional laws. In a mean…

统计理论 · 数学 2014-10-21 Samuel Maistre , Valentin Patilea

Parametric factor copula models typically work well in modeling multivariate dependencies due to their flexibility and ability to capture complex dependency structures. However, accurately estimating the linking copulas within these models…

统计方法学 · 统计学 2025-10-22 Bahareh Ghanbari , Pavel Krupskiy , Laleh Tafakori , Yan Wang

This paper proposes a model-free nonparametric estimator of conditional quantile of a time series regression model where the covariate vector is repeated many times for different values of the response. This type of data is abound in…

统计方法学 · 统计学 2021-07-07 Soudeep Deb , Kaushik Jana

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

统计方法学 · 统计学 2023-11-14 Jana Kleinemeier , Nadja Klein

In this paper, we develop a new and effective approach to nonparametric quantile regression that accommodates ultrahigh-dimensional data arising from spatio-temporal processes. This approach proves advantageous in staving off computational…

统计方法学 · 统计学 2024-05-27 Soudeep Deb , Claudia Neves , Subhrajyoty Roy

In practical applications, one often does not know the "true" structure of the underlying conditional quantile function, especially in the ultra-high dimensional setting. To deal with ultra-high dimensionality, quantile-adaptive marginal…

统计方法学 · 统计学 2024-04-26 Daoji Li , Yinfei Kong , Dawit Zerom