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We propose a new procedure for inference on optimal treatment regimes in the model-free setting, which does not require to specify an outcome regression model. Existing model-free estimators for optimal treatment regimes are usually not…

统计方法学 · 统计学 2020-07-06 Yunan Wu , Lan Wang

A product relative error estimation method for single index regression model is proposed as an alternative to absolute error methods, such as the least square estimation and the least absolute deviation estimation. It is scale invariant for…

统计方法学 · 统计学 2016-12-12 Zhanfeng Wang , Zimu Chen , Yaohua Wu

In the framework of nonparametric multivariate function estimation we are interested in structural adaptation. We assume that the function to be estimated has the "single-index" structure where neither the link function nor the index vector…

统计理论 · 数学 2013-04-30 Oleg Lepski , Nora Serdyukova

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

信息论 · 计算机科学 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron

We derive a numerical method, based on operator splitting, to abstract parabolic semilinear boundary coupled systems. The method decouples the linear components which describe the coupling and the dynamics in the bulk and on the surface,…

数值分析 · 数学 2022-10-19 Petra Csomós , Bálint Farkas , Balázs Kovács

In this work we present a nonparametric approach, which works on minimal assumptions, to reconstruct the cosmic expansion of the Universe. We propose to combine a locally weighted scatterplot smoothing method and a simulation-extrapolation…

宇宙学与河外天体物理 · 物理学 2014-02-20 Ariadna Montiel , Ruth Lazkoz , Irene Sendra , Celia Escamilla-Rivera , Vincenzo Salzano

This paper considers nonparametric identification and estimation of the regression function when a covariate is mismeasured. The measurement error need not be classical. Employing the small measurement error approximation, we establish…

计量经济学 · 经济学 2024-03-19 Kirill S. Evdokimov , Andrei Zeleneev

Modern datasets commonly feature both substantial missingness and many variables of mixed data types, which present significant challenges for estimation and inference. Complete case analysis, which proceeds using only the observations with…

统计方法学 · 统计学 2023-04-10 Joseph Feldman , Daniel R. Kowal

The problem of estimating the regression function in a fixed design models with correlated observations is considered. Such observations are obtained from several experimental units, each of them forms a time series. Based on the…

统计理论 · 数学 2019-06-13 D. Benelmadani , K. Benhenni , S. Louhichi

In this paper, we introduce new parametric and semiparametric regression techniques for a recurrent event process subject to random right censoring. We develop models for the cumula- tive mean function and provide asymptotically normal…

统计理论 · 数学 2015-03-17 Olivier Bouaziz , Ségolen Geffray , Olivier Lopez

The purpose of this paper is to provide guidelines for empirical researchers who use a class of bivariate threshold crossing models with dummy endogenous variables. A common practice employed by the researchers is the specification of the…

计量经济学 · 经济学 2019-03-06 Sukjin Han , Sungwon Lee

We consider parameter estimation in a regression model corresponding to an iid sequence of censored observations of a finite state modulated renewal process. The model assumes a similar form as in Cox regression except that the baseline…

统计理论 · 数学 2007-06-13 Dorota M. Dabrowska , Wai Tung Ho

The semivarying coefficient models are widely used in the application of finance, economics, medical science and many other areas. The functional coefficients are commonly estimated by local smoothing methods, e.g. local linear estimator.…

统计方法学 · 统计学 2020-01-01 Heng Peng , Chuanlong Xie , Jingxin Zhao

Regression analysis with missing data is a long-standing and challenging problem, particularly when there are many missing variables with arbitrary missing patterns. Likelihood-based methods, although theoretically appealing, are often…

统计方法学 · 统计学 2024-10-16 Ngok Sang Kwok , Kin Yau Wong

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

In this article, we consider the problem of estimating the index parameter $\alpha_0$ in the single index model $E[Y |X] = f_0(\alpha_0^T X)$ with $f_0$ the unknown ridge function defined on $\mathbb{R}$, $X$ a d-dimensional covariate and…

统计理论 · 数学 2017-12-19 Fadoua Balabdaoui , Gian-Andrea Thanei

We study a linear high-dimensional regression model in a semi-supervised setting, where for many observations only the vector of covariates $X$ is given with no response $Y$. We do not make any sparsity assumptions on the vector of…

统计理论 · 数学 2021-09-03 Ilan Livne , David Azriel , Yair Goldberg

In many semiparametric models, the parameter of interest is identified through conditional expectations, where the conditioning variable involves a single-index that is estimated in the first step. Among the examples are sample selection…

统计方法学 · 统计学 2013-07-23 Kyungchul Song

This work addresses the distributed estimation problem in a set membership framework. The agents of a network collect measurements which are affected by bounded errors, thus implying that the unknown parameters to be estimated belong to a…

最优化与控制 · 数学 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani

Asymmetry measurements are common in collider experiments and can sensitively probe particle properties. Typically, data can only be measured in a finite region covered by the detector, so an extrapolation from the visible asymmetry to the…

高能物理 - 实验 · 物理学 2016-06-22 Katrina Colletti , Ziqing Hong , David Toback , Jonathan S. Wilson