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The increasing popularity of regression discontinuity methods for causal inference in observational studies has led to a proliferation of different estimating strategies, most of which involve first fitting non-parametric regression models…

统计方法学 · 统计学 2018-06-11 Guido Imbens , Stefan Wager

In this article, we propose a class of semiparametric mixture regression models with single-index. We argue that many recently proposed semiparametric/nonparametric mixture regression models can be considered special cases of the proposed…

统计方法学 · 统计学 2016-10-04 Sijia Xiang , Weixin Yao

In the past several years a wide range of methods for the construction of regression trees and other estimators based on the recursive partitioning of samples have appeared in the statistics literature. Many applications involve data…

统计方法学 · 统计学 2014-07-07 Daniell Toth , John Eltinge

In this paper, we propose a model averaging approach for addressing model uncertainty in the context of partial linear functional additive models. These models are designed to describe the relation between a response and mixed-types of…

统计方法学 · 统计学 2023-06-12 Shishi Liu , Jingxiao Zhang

This paper is concerned with nonparametric estimation of the weighted stochastic block model. We first show that the model implies a set of multilinear restrictions on the joint distribution of edge weights of certain subgraphs involving…

统计理论 · 数学 2022-03-10 Koen Jochmans

Sufficient dimension reduction [J. Amer. Statist. Assoc. 86 (1991) 316-342] has long been a prominent issue in multivariate nonparametric regression analysis. To uncover the central dimension reduction space, we propose in this paper an…

统计理论 · 数学 2014-08-15 Efang Kong , Yingcun Xia

A nonparametric and locally adaptive Bayesian estimator is proposed for estimating a binary regression. Flexibility is obtained by modeling the binary regression as a mixture of probit regressions with the argument of each probit regression…

统计方法学 · 统计学 2007-09-25 Sally Wood , Robert Kohn , Remy Cottet , Wenxin Jiang , Martin Tanner

This paper presents a backfitting-type method for estimating and forecasting a periodically correlated partially linear model with exogeneous variables and heteroskedastic input noise. A rate of convergence of the estimator is given. The…

统计理论 · 数学 2011-02-23 Xavier Brossat , Georges Oppenheim , Marie-Claude Viano

In this paper we propose a semiparametric spatial autoregressive model that combines a linear covariate component with a nonparametrically estimated spatial term, allowing flexible dependence modeling without restrictive covariance…

统计方法学 · 统计学 2026-04-30 Rodrigo García Arancibia , Pamela Llop , Mariel Lovatto

In this paper we will consider the estimation of a monotone regression (or density) function in a fixed point by the least squares (Grenander) estimator. We will show that this estimator is fully adaptive, in the sense that the attained…

统计理论 · 数学 2009-09-11 Eric Cator

This paper deals with improvement of linear quantile regression, when there are a few distinct values of the covariates but many replicates. On can improve asymptotic efficiency of the estimated regression coefficients by using suitable…

应用统计 · 统计学 2020-11-30 Kaushik Jana , Debasis Sengupta

The study of mixture models constitutes a large domain of research in statistics. In the first part of this work, we present phi-divergences and the existing methods which produce robust estimators. We are more particularly interested in…

统计方法学 · 统计学 2016-11-28 Diaa Al Mohamad

We study nonlinear regression of real valued data in an individual sequence manner, where we provide results that are guaranteed to hold without any statistical assumptions. We address the convergence and undertraining issues of…

机器学习 · 计算机科学 2014-10-08 N. Denizcan Vanli , Muhammed O. Sayin , Suleyman S. Kozat

We propose an iterative estimating equations procedure for analysis of longitudinal data. We show that, under very mild conditions, the probability that the procedure converges at an exponential rate tends to one as the sample size…

统计理论 · 数学 2007-12-18 Jiming Jiang , Yihui Luan , You-Gan Wang

We consider the efficient estimation of the semiparametric additive transformation model with current status data. A wide range of survival models and econometric models can be incorporated into this general transformation framework. We…

统计理论 · 数学 2011-05-09 Guang Cheng , Xiao Wang

Among semiparametric regression models, partially linear additive models provide a useful tool to include additive nonparametric components as well as a parametric component, when explaining the relationship between the response and a set…

统计方法学 · 统计学 2024-02-01 Graciela Boente , Alejandra Martínez

In this paper, we construct an estimator of an errors-in-variables linear regression model. The regression model leads to a constrained total least squares problems with row and column constraints. Although this problem can be numerically…

数值分析 · 数学 2026-02-11 Kensuke Aishima

Given a directed acyclic graph $G,$ and a set of values $y$ on the vertices, the Isotonic Regression of $y$ is a vector $x$ that respects the partial order described by $G,$ and minimizes $||x-y||,$ for a specified norm. This paper gives…

机器学习 · 计算机科学 2015-11-12 Rasmus Kyng , Anup Rao , Sushant Sachdeva

We consider an additive regression model consisting of two components $f^0$ and $g^0$, where the first component $f^0$ is in some sense "smoother" than the second $g^0$. Smoothness is here described in terms of a semi-norm on the class of…

统计理论 · 数学 2014-05-27 Sara van de Geer , Alan Muro

When training predictive models on data with missing entries, the most widely used and versatile approach is a pipeline technique where we first impute missing entries and then compute predictions. In this paper, we view prediction with…

机器学习 · 计算机科学 2025-02-25 Dimitris Bertsimas , Arthur Delarue , Jean Pauphilet