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In this work we provide a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Rigorous large-sample theory for the proposed estimators of both the regression coefficient vector and…

统计理论 · 数学 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

In the analysis of cluster data, the regression coefficients are frequently assumed to be the same across all clusters. This hampers the ability to study the varying impacts of factors on each cluster. In this paper, a semiparametric model…

统计理论 · 数学 2009-08-25 Wenyang Zhang , Jianqing Fan , Yan Sun

This paper develops power and sample size formulas for causal inference with time-to-event outcomes. The target estimand is the marginal hazard ratio: the coefficient of a marginal structural Cox proportional hazard model with treatment as…

统计方法学 · 统计学 2026-05-19 Chengxin Yang , Bo Liu , Fan Li

In social networks, neighborhood is crucial for understanding individual behavior in response to environments, and thus it is essential to analyze an individual's local perspective within the global network. This paper studies how to…

统计方法学 · 统计学 2025-02-25 Lijia Wang , Xiao Han , Yanhui Wu , Y. X. Rachel Wang

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

统计理论 · 数学 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

Generalized linear models and the quasi-likelihood method extend the ordinary regression models to accommodate more general conditional distributions of the response. Nonparametric methods need no explicit parametric specification, and the…

统计理论 · 数学 2009-11-23 Jianqing Fan , Yichao Wu , Yang Feng

We consider Bayesian estimation of a hierarchical linear model (HLM) from partially observed data, assumed to be missing at random, and small sample sizes. A vector of continuous covariates $C$ includes cluster-level partially observed…

统计方法学 · 统计学 2025-02-03 Dongho Shin , Yongyun Shin , Nao Hagiwara

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

We introduce a new method for online parameter estimation in stochastic interacting particle systems, based on continuous observation of a small number of particles from the system. Our method recursively updates the model parameters using…

统计理论 · 数学 2026-02-25 Louis Sharrock , Nikolas Kantas , Grigorios A. Pavliotis

We consider nonparametric regression with functional covariates, that is, they are elements of an infinite-dimensional Hilbert space. A locally polynomial estimator is constructed, where an orthonormal basis and various tuning parameters…

统计理论 · 数学 2025-04-09 Moritz Jirak , Alois Kneip , Alexander Meister , Mario Pahl

In this article, we construct semiparametrically efficient estimators of linear functionals of a probability measure in the presence of side information using an easy empirical likelihood approach. We use estimated constraint functions and…

统计方法学 · 统计学 2023-03-01 Shan Wang , Hanxiang Peng

We consider a flexible semiparametric quantile regression model for analyzing high dimensional heterogeneous data. This model has several appealing features: (1) By considering different conditional quantiles, we may obtain a more complete…

统计理论 · 数学 2016-01-25 Ben Sherwood , Lan Wang

We study the problem of selecting covariates for unbiased estimation of the total causal effect.Existing approaches typically rely on global causal structure learning over all variables, or on strong assumptions such as causal sufficiency -…

机器学习 · 统计学 2026-05-22 Zeyu Liu , Zheng Li , Feng Xie , Yan Zeng , Hao Zhang , Kun Zhang

We propose a framework for computing, optimizing and integrating with respect to a smooth marginal likelihood in statistical models that involve high-dimensional parameters/latent variables and continuous low-dimensional hyperparameters.…

统计方法学 · 统计学 2026-02-10 Omiros Papaspiliopoulos , Timothée Stumpf-Fétizon , Jonathan Weare

For affine stochastic differential equation with uniformly distributed time delay the local asymptotic properties of the likelihood function are studied. Local asymptotic normality, local asymptotic mixed normality, periodic local…

统计理论 · 数学 2015-09-10 János Marcell Benke , Gyula Pap

Since polynomial regression models are generally quite reliable for data with a linear trend, it is important to note that, in some cases, they may encounter overfitting issues during the training phase, which could result in negative…

统计方法学 · 统计学 2025-03-21 Anthony Torres-Hernandez

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

统计方法学 · 统计学 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

In this paper we describe an algorithm for predicting the websites at risk in a long range hacking activity, while jointly inferring the provenance and evolution of vulnerabilities on websites over continuous time. Specifically, we use…

应用统计 · 统计学 2016-11-23 Ziqi Liu , Alexander J. Smola , Kyle Soska , Yu-Xiang Wang , Qinghua Zheng

Quantitative studies in many fields involve the analysis of multivariate data of diverse types, including measurements that we may consider binary, ordinal and continuous. One approach to the analysis of such mixed data is to use a copula…

统计理论 · 数学 2007-06-13 Peter D. Hoff

In this paper we propose a general series method to estimate a semiparametric partially linear varying coefficient model. We establish the consistency and \sqrtn-normality property of the estimator of the finite-dimensional parameters of…

统计理论 · 数学 2007-06-13 Ibrahim Ahmad , Sittisak Leelahanon , Qi Li