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This study investigates treatment effect estimation in the semi-supervised setting, also can be interpreted as prediction-powered inference. In our setting, we can use not only the standard triple of covariates, treatment indicator, and…

机器学习 · 统计学 2026-05-05 Masahiro Kato

The semiparametric regression models have attracted increasing attention owing to their robustness compared to their parametric counterparts. This paper discusses the efficiency bound for functional response models (FRM), an emerging class…

统计方法学 · 统计学 2022-05-18 Jinyuan Liu , Tuo Lin , Tian Chen , Xinlian Zhang , Xin M. Tu

In supervised learning, we typically leverage a fully labeled dataset to design methods for function estimation or prediction. In many practical situations, we are able to obtain alternative feedback, possibly at a low cost. A broad goal is…

机器学习 · 统计学 2020-10-27 Yichong Xu , Sivaraman Balakrishnan , Aarti Singh , Artur Dubrawski

In this paper, we propose an empirical likelihood-based weighted estimator of regression parameter in quantile regression model with nonignorable missing covariates. The proposed estimator is computationally simple and achieves…

统计方法学 · 统计学 2017-10-10 Xiaohui Yuan , Xiaogang Dong

In this paper, a robust non-parametric measure of statistical dependence, or correlation, between two random variables is presented. The proposed coefficient is a permutation-like statistic that quantifies how much the observed sample S_n :…

统计方法学 · 统计学 2020-07-27 Rami Mahdi

We consider covariate adjusted regression (CAR), a regression method for situations where predictors and response are observed after being distorted by a multiplicative factor. The distorting factors are unknown functions of an observable…

统计理论 · 数学 2016-08-16 Damla Şentürk , Hans-Georg Müller

A regression model is proposed for the analysis of an ordinal response variable depending on a set of multiple covariates containing ordinal and potentially other variables. The proportional odds model (McCullagh (1980)) is used for the…

统计方法学 · 统计学 2018-04-25 Javier Espinosa , Christian Hennig

In Huntington's disease research, a current goal is to understand how symptoms change prior to a clinical diagnosis. Statistically, this entails modeling symptom severity as a function of the covariate 'time until diagnosis', which is often…

统计方法学 · 统计学 2024-09-19 Seong-ho Lee , Brian D. Richardson , Yanyuan Ma , Karen S. Marder , Tanya P. Garcia

We are interested in the estimation of a rank-one tensor signal when only a portion $\varepsilon$ of its noisy observation is available. We show that the study of this problem can be reduced to that of a random matrix model whose spectral…

机器学习 · 统计学 2025-06-30 Hugo Lebeau

Let $X_{1}=(W_{1},Y_{1}),\ldots,X_{n}=(W_{n},Y_{n})$ be $n$ pairs of independent random variables. We assume that, for each $i\in\{1,\ldots,n\}$, the conditional distribution of $Y_{i}$ given $W_{i}$ belongs to a one-parameter exponential…

统计理论 · 数学 2022-03-15 Juntong Chen

In the recent years, methods to estimate the memory parameter using wavelet analysis have gained popularity in many areas of science. Despite its widespread use, a rigorous semi-parametric asymptotic theory, comparable to the one developed…

统计理论 · 数学 2007-06-13 Eric Moulines , François Roueff , Murad Taqqu

This paper deals with the nonparametric estimation in heteroscedastic regression $ Y_i=f(X_i)+\xi_i, \: i=1,...,n $, with incomplete information, i.e. each real random variable $ \xi_i $ has a density $ g_{i} $ which is unknown to the…

统计理论 · 数学 2011-05-10 Michaël Chichignoud

Classical latent-score ranking models often fail to distinguish objects' intrinsic scores from contextual effects, which are typically nonlinear and can dominate the observed outcomes. To address this, we introduce a semiparametric ranking…

统计方法学 · 统计学 2026-04-22 Yuanhang Luo , Shuxing Fang , Ruijian Han , Yiming Xu

We propose a general semi-supervised inference framework focused on the estimation of the population mean. As usual in semi-supervised settings, there exists an unlabeled sample of covariate vectors and a labeled sample consisting of…

统计方法学 · 统计学 2018-08-15 Anru Zhang , Lawrence D. Brown , T. Tony Cai

In this work, we propose a deep learning-based method to perform semiparametric regression analysis for spatially dependent data. To be specific, we use a sparsely connected deep neural network with rectified linear unit (ReLU) activation…

机器学习 · 统计学 2023-12-19 Kexuan Li , Jun Zhu , Anthony R. Ives , Volker C. Radeloff , Fangfang Wang

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

We consider univariate regression estimation from an individual (non-random) sequence $(x_1,y_1),(x_2,y_2), ... \in \real \times \real$, which is stable in the sense that for each interval $A \subseteq \real$, (i) the limiting relative…

概率论 · 数学 2008-06-19 Gusztav Morvai , Sanjeev R. Kulkarni , Andrew B. Nobel

We consider in this paper a Gaussian sequence model of observations $Y_i$, $i\geq 1$ having mean (or signal) $\theta_i$ and variance $\sigma_i$ which is growing polynomially like $i^\gamma$, $\gamma >0$. This model describes a large panel…

统计理论 · 数学 2009-02-16 Cristina Butucea , Katia Méziani

The complexity of semiparametric models poses new challenges to statistical inference and model selection that frequently arise from real applications. In this work, we propose new estimation and variable selection procedures for the…

统计理论 · 数学 2011-03-09 Bo Kai , Runze Li , Hui Zou

Growth charts are often more informative when they are customized per subject, taking into account prior measurements and possibly other covariates of the subject. We study a global semiparametric quantile regression model that has the…

统计理论 · 数学 2007-06-13 Ying Wei , Xuming He
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