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Two-phase sampling is commonly adopted for reducing cost and improving estimation efficiency. In many two-phase studies, the outcome and some cheap covariates are observed for a large sample in Phase I, and expensive covariates are obtained…

统计方法学 · 统计学 2025-10-14 Qingning Zhou , Kin Yau Wong

In a high dimensional regression setting in which the number of variables ($p$) is much larger than the sample size ($n$), the number of possible two-way interactions between the variables is immense. If the number of variables is in the…

统计方法学 · 统计学 2024-06-26 Marianne A Jonker , Luc van Schijndel , Eric Cator

The paper deals with asymptotic properties of the adaptive procedure proposed in the author paper (2007) for estimation of unknown nonparametric regression. We prove that this procedure is asymptotically efficient for a quadratic risk. It…

统计理论 · 数学 2008-12-18 Leonid Galtchouk , Serguey Pergamenshchikov

Turning pass-through network architectures into iterative ones, which use their own output as input, is a well-known approach for boosting performance. In this paper, we argue that such architectures offer an additional benefit: The…

人工智能 · 计算机科学 2025-05-27 Nikita Durasov , Doruk Oner , Jonathan Donier , Hieu Le , Pascal Fua

Multi-stage (designed) procedures, obtained by splitting the sampling budget suitably across stages, and designing the sampling at a particular stage based on information about the parameter obtained from previous stages, are often…

统计方法学 · 统计学 2014-01-08 Atul Mallik , Moulinath Banerjee , George Michailidis

A new way to design parameter estimators with enhanced performance is proposed in the paper. The procedure consists of two stages, first, the generation of new regression forms via the application of a dynamic operator to the original…

系统与控制 · 计算机科学 2020-01-22 Aranovskiy Stanislav , Bobtsov Alexey , Ortega Romeo , Pyrkin Anton

An effective two-stage method for an estimation of parameters of the linear regression is considered. For this purpose we introduce a certain quasi-estimator that, in contrast to usual estimator, produces two alternative estimates. It is…

统计理论 · 数学 2010-10-06 Anatoly Gordinsky

This paper focuses on recursive estimation of time varying autoregressive processes in a nonparametric setting. The stability of the model is revisited and uniform results are provided when the time-varying autoregressive parameters belong…

统计理论 · 数学 2007-06-13 Eric Moulines , Pierre Priouret , François Roueff

We present a simulation-based inference approach for two-stage estimators, focusing on extremum estimators in the second stage. We accommodate a broad range of first-stage estimators, including extremum estimators, high-dimensional…

计量经济学 · 经济学 2024-11-08 Aristide Houndetoungan , Abdoul Haki Maoude

We present a method for estimating sparse high-dimensional inverse covariance and partial correlation matrices, which exploits the connection between the inverse covariance matrix and linear regression. The method is a two-stage estimation…

机器学习 · 统计学 2025-05-13 Samuel Erickson , Tobias Rydén

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. We study rate of convergence of recursive estimation procedures for the general…

统计理论 · 数学 2007-05-23 Teo Sharia

Orthogonal statistical learning and double machine learning have emerged as general frameworks for two-stage statistical prediction in the presence of a nuisance component. We establish non-asymptotic bounds on the excess risk of orthogonal…

机器学习 · 统计学 2022-06-22 Lang Liu , Carlos Cinelli , Zaid Harchaoui

Deep learning has facilitated the automation of radiotherapy by predicting accurate dose distribution maps. However, existing methods fail to derive the desirable radiotherapy parameters that can be directly input into the treatment…

计算机视觉与模式识别 · 计算机科学 2024-03-01 Jiaqi Cui , Yuanyuan Xu , Jianghong Xiao , Yuchen Fei , Jiliu Zhou , Xingcheng Peng , Yan Wang

Various indicators and measures of the real life procedures rise up as functionals of the quantile process of a parent random variable Z. However, Z can be observed only through a response in a linear model whose covariates are not under…

统计方法学 · 统计学 2024-04-04 Jana Jurečková , Jan Picek , Jan Kalina

Isotonic regression is a standard problem in shape-constrained estimation where the goal is to estimate an unknown nondecreasing regression function $f$ from independent pairs $(x_i, y_i)$ where $\mathbb{E}[y_i]=f(x_i), i=1, \ldots n$.…

统计理论 · 数学 2019-03-26 Philippe Rigollet , Jonathan Weed

This paper develops a two-stage method for inference on partially identified parameters in moment inequality models with separable nuisance parameters. In the first stage, the nuisance parameters are estimated separately, and in the second…

计量经济学 · 经济学 2025-08-28 Xunkang Tian

We provide general adaptive upper bounds for estimating nonparametric functionals based on second order U-statistics arising from finite dimensional approximation of the infinite dimensional models. We then provide examples of functionals…

统计理论 · 数学 2021-06-07 Lin Liu , Rajarshi Mukherjee , James Robins , Eric Tchetgen Tchetgen

Regression analysis under the assumption of monotonicity is a well-studied statistical problem and has been used in a wide range of applications. However, there remains a lack of a broadly applicable methodology that permits information…

统计方法学 · 统计学 2023-05-30 Christian Rohrbeck , Deborah A Costain

Market indicators such as CPI and GDP have been widely used over decades to identify the stage of business cycles and also investment attractiveness of sectors given market conditions. In this paper, we propose a two-stage methodology that…

综合金融 · 定量金融 2021-08-09 Tugce Karatas , Ali Hirsa

Two-phase designs involve measuring extra variables on a subset of the cohort where some variables are already measured. The goal of two-phase designs is to choose a subsample of individuals from the cohort and analyse that subsample…

应用统计 · 统计学 2020-10-12 Tong Chen , Thomas Lumley