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相关论文: Spatially filtered unconditional quantile regressi…

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Spatial dependent data frequently occur in many fields such as spatial econometrics and epidemiology. To deal with the dependence of variables and estimate quantile-specific effects by covariates, spatial quantile autoregressive models…

统计方法学 · 统计学 2021-11-16 Ping Dong , Jiawei Hou , Yunquan Song

We develop a predictive inference procedure that combines conformal prediction (CP) with unconditional quantile regression (QR) -- a commonly used tool in econometrics that involves regressing the recentered influence function (RIF) of the…

机器学习 · 计算机科学 2023-04-05 Ahmed M. Alaa , Zeshan Hussain , David Sontag

Symbolic Regression (SR) is a well-established framework for generating interpretable or white-box predictive models. Although SR has been successfully applied to create interpretable estimates of the average of the outcome, it is currently…

机器学习 · 计算机科学 2026-05-19 Cas Oude Hoekstra , Floris den Hengst

Quantile regression (QR) is a statistical tool for distribution-free estimation of conditional quantiles of a target variable given explanatory features. QR is limited by the assumption that the target distribution is univariate and defined…

This paper proposes a new framework to evaluate unconditional quantile effects (UQE) in a data combination model. The UQE measures the effect of a marginal counterfactual change in the unconditional distribution of a covariate on quantiles…

计量经济学 · 经济学 2021-05-21 Atsushi Inoue , Tong Li , Qi Xu

In this paper, we develop a unified regression approach to model unconditional quantiles, M-quantiles and expectiles of multivariate dependent variables exploiting the multidimensional Huber's function. To assess the impact of changes in…

统计方法学 · 统计学 2023-08-29 Luca Merlo , Lea Petrella , Nicola Salvati , Nikos Tzavidis

This study develops a spatially varying coefficient model by extending the random effects eigenvector spatial filtering model. The developed model has the following properties: its coefficients are interpretable in terms of the Moran…

统计方法学 · 统计学 2016-08-11 Daisuke Murakami , Takahiro Yoshida , Hajime Seya , Daniel A. Griffith , Yoshiki Yamagata

This paper introduces a novel spatial scalar-on-function quantile regression model that extends classical scalar-on-function models to account for spatial dependence and heterogeneous conditional distributions. The proposed model…

统计方法学 · 统计学 2025-10-21 Muge Mutis , Ufuk Beyaztas , Filiz Karaman , Han Lin Shang

Treatment effects in a wide range of economic, environmental, and epidemiological applications often vary across space, and understanding the heterogeneity of causal effects across space and outcome quantiles is a critical challenge in…

统计方法学 · 统计学 2025-09-03 Yan Gong , Reetam Majumder , Brian J. Reich , Raphaël Huser

Conformalized Quantile Regression (CQR) is a recently proposed method for constructing prediction intervals for a response $Y$ given covariates $X$, without making distributional assumptions. However, existing constructions of CQR can be…

统计方法学 · 统计学 2024-05-16 Raphael Rossellini , Rina Foygel Barber , Rebecca Willett

In this paper, we propose an invariant quantile regression (IQR) framework specifically designed for multi-environment datasets, which captures the invariance across different environments. This framework is closely related to transfer…

统计方法学 · 统计学 2026-05-28 Bo Fu , Dandan Jiang

Quantile regression (QR) is becoming increasingly popular due to its relevance in many scientific investigations. There is a great amount of work about linear and nonlinear QR models. Specifically, nonparametric estimation of the…

统计方法学 · 统计学 2020-01-13 Eliana Christou

Linear quantile regression is a powerful tool to investigate how predictors may affect a response heterogeneously across different quantile levels. Unfortunately, existing approaches find it extremely difficult to adjust for any dependency…

统计方法学 · 统计学 2019-10-30 Xu Chen , Surya T. Tokdar

Machine learning methods are increasingly widely used in high-risk settings such as healthcare, transportation, and finance. In these settings, it is important that a model produces calibrated uncertainty to reflect its own confidence and…

人工智能 · 计算机科学 2022-09-09 Sophia Sun

We develop an R package SPQR that implements the semi-parametric quantile regression (SPQR) method in Xu and Reich (2021). The method begins by fitting a flexible density regression model using monotonic splines whose weights are modeled as…

统计方法学 · 统计学 2022-10-27 Steven G. Xu , Reetam Majumder , Brian J. Reich

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

Quantile regression (QR) is becoming increasingly popular due to its relevance in many scientific investigations. However, application of QR can become very challenging when dealing with high-dimensional data, making it necessary to use…

统计方法学 · 统计学 2019-12-11 Eliana Christou

Functional quantile regression (FQR) is a useful alternative to mean regression for functional data as it provides a comprehensive understanding of how scalar predictors influence the conditional distribution of functional responses. In…

统计方法学 · 统计学 2023-11-08 Yusha Liu , Meng Li , Jeffrey S. Morris

In many applications, heterogeneous treatment effects on a censored response variable are of primary interest, and it is natural to evaluate the effects at different quantiles (e.g., median). The large number of potential effect modifiers,…

统计方法学 · 统计学 2022-12-13 Huichen Zhu , Yifei Sun , Ying Wei

Uncertainty quantification (UQ) in deep learning regression is of wide interest, as it supports critical applications including sequential decision making and risk-sensitive tasks. In heteroskedastic regression, where the uncertainty of the…

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