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In this paper we give a brief review of semiparametric theory, using as a running example the common problem of estimating an average causal effect. Semiparametric models allow at least part of the data-generating process to be unspecified…

统计方法学 · 统计学 2017-09-20 Edward H. Kennedy

A semiparametric copula-based two-part quantile regression framework is developed for the analysis of semicontinuous outcomes characterized by a point mass at zero and a continuous positive component. The proposed approach models the…

统计方法学 · 统计学 2026-03-17 Guanjie Lyu , Mohamed Belalia , Abdulkadir Hussein

Quantile regression is a field with steadily growing importance in statistical modeling. It is a complementary method to linear regression, since computing a range of conditional quantile functions provides a more accurate modelling of the…

统计方法学 · 统计学 2022-05-09 Marija Tepegjozova , Jing Zhou , Gerda Claeskens , Claudia Czado

Predictive models make mistakes. Hence, there is a need to quantify the uncertainty associated with their predictions. Conformal inference has emerged as a powerful tool to create statistically valid prediction regions around point…

机器学习 · 统计学 2024-02-14 Luben M. C. Cabezas , Mateus P. Otto , Rafael Izbicki , Rafael B. Stern

This paper investigates conditional specifications for multivariate count variables. Recently, the spatial count data literature has proposed several conditional models such that the conditional expectations are linear in the conditioning…

统计理论 · 数学 2025-02-28 Yang Lu , Wei Sun

In this paper, we revisit the notion of partial copula, originally introduced to test conditional independence, highlighting its capability to represent the dependence between two random variables after removing their dependence with a…

统计方法学 · 统计学 2026-05-26 Vinícius Litvinoff Justus , Felipe Fontana Vieira

When a strict subset of covariates are given, we propose conditional quantile treatment effect to capture the heterogeneity of treatment effects via the quantile sheet that is the function of the given covariates and quantile. We focus on…

统计理论 · 数学 2020-09-23 Niwen Zhou , Xu Guo , Lixing Zhu

The statistical analysis of univariate quantiles is a well developed research topic. However, there is a need for research in multivariate quantiles. We construct bivariate (conditional) quantiles using the level curves of vine copula based…

统计方法学 · 统计学 2023-07-04 Marija Tepegjozova , Claudia Czado

We give methods for the construction of designs for linear models, when the purpose of the investigation is the estimation of the conditional quantile function and the estimation method is quantile regression. The designs are robust against…

统计方法学 · 统计学 2014-12-01 Linglong Kong , Douglas P. Wiens

Count data frequently arises in biomedical applications, such as the length of hospital stay. However, their discrete nature poses significant challenges for appropriately modeling conditional quantiles, which are crucial for understanding…

统计方法学 · 统计学 2025-07-28 Yuta Yamauchi , Genya Kobayashi , Shonosuke Sugasawa

We propose a semiparametric model for autonomous nonlinear dynamical systems and devise an estimation procedure for model fitting. This model incorporates subject-specific effects and can be viewed as a nonlinear semiparametric mixed…

应用统计 · 统计学 2011-12-01 Debashis Paul , Jie Peng , Prabir Burman

Graphical structure learning is an effective way to assess and visualize cross-biomarker dependencies in biomedical settings. Standard approaches to estimating graphs rely on conditional independence tests that may not be sensitive to…

统计方法学 · 统计学 2024-11-28 Zain Khan , Daniel Malinsky , Martin Picard , Alan A. Cohen , Columbia SOH Group , Ying Wei

This paper is the second in a series of papers which combine graphical modelling and marked spatial point patterns. Extending the previous results of \cite Eckardt (2016a), we introduce a marked spatial dependence graph model which depicts…

应用统计 · 统计学 2016-09-29 Matthias Eckardt , Jorge Mateu

This paper considers the quantile regression approach for partially linear spatial autoregressive models with possibly varying coefficients. B-spline is employed for the approximation of varying coefficients. The instrumental variable…

统计方法学 · 统计学 2016-08-08 Xiaowen Dai , Shaoyang Li , Maozai Tian

Multivariate regression model is a natural generalization of the classical univari- ate regression model for fitting multiple responses. In this paper, we propose a high- dimensional multivariate conditional regression model for…

机器学习 · 统计学 2016-11-26 Junhui Wang

Ensemble of regression trees have become popular statistical tools for the estimation of conditional mean given a set of predictors. However, quantile regression trees and their ensembles have not yet garnered much attention despite the…

机器学习 · 统计学 2016-07-12 Bereket P. Kindo , Hao Wang , Timothy Hanson , Edsel A. Peña

We propose a robust method for constructing conditionally valid prediction intervals based on models for conditional distributions such as quantile and distribution regression. Our approach can be applied to important prediction problems…

计量经济学 · 经济学 2022-01-26 Victor Chernozhukov , Kaspar Wüthrich , Yinchu Zhu

In real data analysis, the underlying model is usually unknown, modelling strategy plays a key role in the success of data analysis. Stimulated by the idea of model averaging, we propose a novel semiparametric modelling strategy for…

统计方法学 · 统计学 2022-03-21 Chaohui Guo , Wenyang Zhang

Data augmentation is essential when applying Machine Learning in small-data regimes. It generates new samples following the observed data distribution while increasing their diversity and variability to help researchers and practitioners…

机器学习 · 计算机科学 2023-04-10 Audrey Poinsot , Alessandro Leite

The perspective of developing trustworthy AI for critical applications in science and engineering requires machine learning techniques that are capable of estimating their own uncertainty. In the context of regression, instead of estimating…

机器学习 · 计算机科学 2026-05-14 Quentin Duchemin , Guillaume Obozinski