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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

Consider a semi-supervised setting with a labeled dataset of binary responses and predictors and an unlabeled dataset with only the predictors. Logistic regression is equivalent to an exponential tilt model in the labeled population. For…

机器学习 · 统计学 2023-11-16 Ye Tian , Xinwei Zhang , Zhiqiang Tan

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

统计理论 · 数学 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

For classification problems with significant class imbalance, subsampling can reduce computational costs at the price of inflated variance in estimating model parameters. We propose a method for subsampling efficiently for logistic…

统计计算 · 统计学 2014-09-24 William Fithian , Trevor Hastie

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

统计方法学 · 统计学 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

We investigate the parameter estimation of regression models with fixed group effects, when the group variable is missing while group related variables are available. This problem involves clustering to infer the missing group variable…

统计方法学 · 统计学 2020-12-29 Matthieu Marbac , Mohammed Sedki , Christophe Biernacki , Vincent Vandewalle

We consider efficient estimation of the Euclidean parameters in a generalized partially linear additive models for longitudinal/clustered data when multiple covariates need to be modeled nonparametrically, and propose an estimation…

统计理论 · 数学 2014-02-05 Guang Cheng , Lan Zhou , Jianhua Z. Huang

In this paper, we propose a new semiparametric regression estimator by using a hybrid technique of a parametric approach and a nonparametric penalized spline method. The overall shape of the true regression function is captured by the…

统计理论 · 数学 2012-02-17 Takuma Yoshida , Kanta Naito

Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker…

统计方法学 · 统计学 2025-11-13 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar

Many natural phenomena are intrinsically causal. The discovery of the cause-effect relationships implicit in these processes can help us to understand and describe them more effectively, which boils down to causal discovery about the data…

定量方法 · 定量生物学 2024-01-09 Jean Pierre Gomez

We consider generalized linear regression analysis with left-censored covariate due to the lower limit of detection. Complete case analysis by eliminating observations with values below limit of detection yields valid estimates for…

统计方法学 · 统计学 2014-12-09 Shengchun Kong , Bin Nan

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

统计方法学 · 统计学 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

机器学习 · 统计学 2021-10-12 K. P. Chowdhury

Recently, there has been great interest in estimating the conditional average treatment effect using flexible machine learning methods. However, in practice, investigators often have working hypotheses about effect heterogeneity across…

统计方法学 · 统计学 2023-09-13 Chan Park , Hyunseung Kang

In a mathematical model of interacting biological organisms, where external interventions may alter behavior over time, traditional models that assume fixed parameters usually do not capture the evolving dynamics. In oncology, this is…

机器学习 · 计算机科学 2025-12-18 Kayode Olumoyin , Lamees El Naqa , Katarzyna Rejniak

Knowing the link between observed predictive variables and outcomes is crucial for making inference in any regression model. When this link is missing, partially or completely, classical estimation methods fail in recovering the true…

统计理论 · 数学 2026-01-28 Fadoua Balabdaoui , Jinyu Chen

As a competitive alternative to least squares regression, quantile regression is popular in analyzing heterogenous data. For quantile regression model specified for one single quantile level $\tau$, major difficulties of semiparametric…

统计方法学 · 统计学 2017-05-29 Kani Chen , Yuanyuan Lin , Zhanfeng Wang , Zhiliang Ying

A natural way of handling imbalanced data is to attempt to equalise the class frequencies and train the classifier of choice on balanced data. For two-class imbalanced problems, the classification success is typically measured by the…

计算机视觉与模式识别 · 计算机科学 2018-04-20 Ludmila I. Kuncheva , Álvar Arnaiz-González , José-Francisco Díez-Pastor , Iain A. D. Gunn

The case-control sampling design serves as a pivotal strategy in mitigating the imbalanced structure observed in binary data. We consider the estimation of a non-parametric logistic model with the case-control data supplemented by external…

机器学习 · 统计学 2024-09-04 Hengchao Shi , Ming Zheng , Wen Yu

We introduce a new method for estimating the mean of an outcome variable within groups when researchers only observe the average of the outcome and group indicators across a set of aggregation units, such as geographical areas. Existing…

统计方法学 · 统计学 2026-05-01 Cory McCartan , Shiro Kuriwaki