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Methods based on partial least squares (PLS) regression, which has recently gained much attention in the analysis of high-dimensional genomic datasets, have been developed since the early 2000s for performing variable selection. Most of…

统计方法学 · 统计学 2021-08-31 Jérémy Magnanensi , Myriam Maumy-Bertrand , Nicolas Meyer , Frédéric Bertrand

This paper introduces a high-dimensional binary variate model that accommodates nonstationary covariates and factors, and studies their asymptotic theory. This framework encompasses scenarios where single indices are nonstationary or…

统计理论 · 数学 2025-05-29 Xinbing Kong , Bin Wu , Wuyi Ye

This work studies the properties of the maximum likelihood estimator (MLE) of a non-linear model with Gaussian errors and multidimensional parameter. The observations are collected in a two-stage experimental design and are dependent since…

统计理论 · 数学 2019-11-01 Nancy Flournoy , Caterina May , Chiara Tommasi

Background: Advanced methods for causal inference, such as targeted maximum likelihood estimation (TMLE), require certain conditions for statistical inference. However, in situations where there is not differentiability due to data sparsity…

Expected shortfall is defined as the average over the tail below (or above) a certain quantile of a probability distribution. Expected shortfall regression provides powerful tools for learning the relationship between a response variable…

统计方法学 · 统计学 2025-01-03 Shushu Zhang , Xuming He , Kean Ming Tan , Wen-Xin Zhou

Confidence intervals based on penalized maximum likelihood estimators such as the LASSO, adaptive LASSO, and hard-thresholding are analyzed. In the known-variance case, the finite-sample coverage properties of such intervals are determined…

统计理论 · 数学 2010-03-16 Benedikt M. Pötscher , Ulrike Schneider

A central goal of causal inference is to detect and estimate the treatment effects of a given treatment or intervention on an outcome variable of interest, where a member known as the heterogeneous treatment effect (HTE) is of growing…

统计理论 · 数学 2020-10-27 Zijun Gao , Yanjun Han

Estimating average treatment effects from observational data is challenging under practical violations of the positivity assumption. Targeted Maximum Likelihood Estimators (TMLEs) are widely used because of their double robustness and…

统计方法学 · 统计学 2026-04-28 Yichen Xu , Susan Gruber , Mark J. van der Laan

Identifying a biomarker or treatment-dose threshold that marks a specified level of risk is an important problem, especially in clinical trials. This risk, viewed as a function of thresholds and possibly adjusted for covariates, we call the…

统计方法学 · 统计学 2023-03-22 Lars van der Laan , Wenbo Zhang , Peter B. Gilbert

Quantifying the heterogeneity of treatment effect is important for understanding how a commercial product or medical treatment affects different population subgroups. While much of treatment effect heterogeneity analysis focuses on the…

统计方法学 · 统计学 2026-03-03 Haodong Li , Alan E Hubbard , Oliver J Hines , Andrea M Storås , Kajsa Kvist , Mark van der Laan

A nonparametric procedure to estimate the conditional probability that a nonstationary geostatistical process exceeds a certain threshold value is proposed. The method consists of a bootstrap algorithm that combines conditional simulation…

统计方法学 · 统计学 2024-04-01 Rubén Fernández-Casal , Sergio Castillo-Páez , Mario Francisco-Fernández

Empirical best linear unbiased prediction (EBLUP) method uses a linear mixed model in combining information from different sources of information. This method is particularly useful in small area problems. The variability of an EBLUP is…

统计理论 · 数学 2008-12-18 Snigdhansu Chatterjee , Partha Lahiri , Huilin Li

We consider the problem of estimating the average treatment effect (ATE) when both randomized control trial (RCT) data and external real-world data (RWD) are available. We decompose the ATE estimand as the difference between a pooled-ATE…

统计方法学 · 统计学 2025-01-22 Mark van der Laan , Sky Qiu , Jens Magelund Tarp , Lars van der Laan

We propose a novel model selection algorithm based on a penalized maximum likelihood estimator (PMLE) for functional hidden dynamic geostatistical models (f-HDGM). These models employ a classic mixed-effect regression structure with…

统计方法学 · 统计学 2023-10-24 Paolo Maranzano , Philipp Otto , Alessandro Fassò

The Adaptive Lasso(Alasso) was proposed by Zou [\textit{J. Amer. Statist. Assoc. \textbf{101} (2006) 1418-1429}] as a modification of the Lasso for the purpose of simultaneous variable selection and estimation of the parameters in a linear…

统计方法学 · 统计学 2018-02-16 Debraj Das , Karl Gregory , S. N. Lahiri

A sparse precision matrix can be directly translated into a sparse Gaussian graphical model under the assumption that the data follow a joint normal distribution. This neat property makes high-dimensional precision matrix estimation very…

统计理论 · 数学 2013-02-14 Lingzhou Xue , Hui Zou

With regard to a three-step estimation procedure, proposed without theoretical discussion by Li and You in Journal of Applied Statistics and Management, for a nonparametric regression model with time-varying regression function, local…

统计理论 · 数学 2020-10-27 Jiyanglin Li , Tao Li

We study nonparametric isotonic confidence intervals for monotone functions. In Banerjee and Wellner (2001) pointwise confidence intervals, based on likelihood ratio tests for the restricted and unrestricted MLE in the current status model,…

统计理论 · 数学 2015-02-17 Piet Groeneboom , Geurt Jongbloed

In this work, a fully nonparametric geostatistical approach to estimate threshold exceeding probabilities is proposed. To estimate the large-scale variability (spatial trend) of the process, the nonparametric local linear regression…

统计方法学 · 统计学 2024-02-01 Rubén Fernández-casal , Sergio Castillo-Páez , Mario Francisco-Fernández

Applying standard statistical methods after model selection may yield inefficient estimators and hypothesis tests that fail to achieve nominal type-I error rates. The main issue is the fact that the post-selection distribution of the data…

统计方法学 · 统计学 2019-05-23 Amit Meir , Mathias Drton