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In this paper we investigate the problem of designing experiments for series estimators in nonparametric regression models with correlated observations. We use projection based estimators to derive an explicit solution of the best linear…

统计理论 · 数学 2018-12-14 Holger Dette , Maria Konstantinou , Kirsten Schorning

In this article, we consider an imputation method to handle missing response values based on semiparametric quantile regression estimation. In the proposed method, the missing response values are generated using the estimated conditional…

统计理论 · 数学 2014-04-15 Senniang Chen , Cindy L Yu

Missing values arise in most real-world data sets due to the aggregation of multiple sources and intrinsically missing information (sensor failure, unanswered questions in surveys...). In fact, the very nature of missing values usually…

机器学习 · 统计学 2022-02-04 Alexis Ayme , Claire Boyer , Aymeric Dieuleveut , Erwan Scornet

A residual-based empirical distribution function is proposed to estimate the distribution function of the errors of a heteroskedastic nonparametric regression with responses missing at random based on completely observed data, and this…

统计方法学 · 统计学 2016-10-28 Justin Chown

We discuss a class of difference-based estimators for the autocovariance in nonparametric regression when the signal is discontinuous (change-point regression), possibly highly fluctuating, and the errors form a stationary $m$-dependent…

统计方法学 · 统计学 2016-08-09 Inder Tecuapetla-Gómez , Axel Munk

The paper studies distributed static parameter (vector) estimation in sensor networks with nonlinear observation models and noisy inter-sensor communication. It introduces \emph{separably estimable} observation models that generalize the…

多智能体系统 · 计算机科学 2012-05-21 Soummya Kar , Jose M. F. Moura , Kavita Ramanan

This study considers regression analysis of a circular response with an error-prone linear covariate. Starting with an existing estimator of the circular regression function that assumes error-free covariate, three approaches are proposed…

统计方法学 · 统计学 2025-08-25 Nicholas Woolsey , Xianzheng Huang

Compared to nonparametric estimators in the multivariate setting, kernel estimators for functional data models have a larger order of bias. This is problematic for constructing confidence regions or statistical tests since the bias might…

统计理论 · 数学 2025-11-21 Melanie Birke , Tim Greger

We propose a novel estimation approach for a general class of semi-parametric time series models where the conditional expectation is modeled through a parametric function. The proposed class of estimators is based on a Gaussian…

统计方法学 · 统计学 2025-07-21 Mirko Armillotta , Paolo Gorgi

In a recent paper Birke and Bissantz (2008) considered the problem of nonparametric estimation in inverse regression models with convolution-type operators. For multivariate predictors nonparametric methods suffer from the curse of…

统计理论 · 数学 2013-03-19 T. Hildebrandt , N. Bissantz , H. Dette

Statistical modeling of experimental physical laws is based on the probability density function of measured variables. It is expressed by experimental data via a kernel estimator. The kernel is determined objectively by the scattering of…

数据分析、统计与概率 · 物理学 2007-05-23 I. Grabec

The present paper discusses the problem of estimating the finite population mean of study variable in simple random sampling in the presence of non response and response error together. The estimators in this article use auxiliary…

统计方法学 · 统计学 2014-04-08 Prayas Sharma , Rajesh Singh

In this paper, we consider the normalized least squares estimator of the parameter in a mildly stationary first-order autoregressive (AR(1)) model with dependent errors which are modeled as a mildly stationary AR(1) process. By martingale…

概率论 · 数学 2023-11-08 Hui Jiang , Guangyu Yang , Mingming Yu

Beta regression models provide an adequate approach for modeling continuous outcomes limited to the interval (0,1). This paper deals with an extension of beta regression models that allow for explanatory variables to be measured with error.…

统计方法学 · 统计学 2013-04-11 Jalmar M. F. Carrasco , Silvia L. P. Ferrari , Reinaldo B. Arellano-Valle

We introduce estimation and test procedures through divergence minimization for models satisfying linear constraints with unknown parameter. Several statistical examples and motivations are given. These procedures extend the empirical…

统计理论 · 数学 2008-11-24 Michel Broniatowski , Amor Keziou

This paper is concerned with estimation and inference for ultrahigh dimensional partially linear single-index models. The presence of high dimensional nuisance parameter and nuisance unknown function makes the estimation and inference…

统计方法学 · 统计学 2024-04-09 Shijie Cui , Xu Guo , Zhe Zhang

Calibration, the practice of choosing the parameters of a structural model to match certain empirical moments, can be viewed as minimum distance estimation. Existing standard error formulas for such estimators require a consistent estimate…

计量经济学 · 经济学 2024-06-19 Matthew D. Cocci , Mikkel Plagborg-Møller

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

统计方法学 · 统计学 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

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

Many standard estimators, when applied to adaptively collected data, fail to be asymptotically normal, thereby complicating the construction of confidence intervals. We address this challenge in a semi-parametric context: estimating the…

统计理论 · 数学 2025-03-04 Licong Lin , Koulik Khamaru , Martin J. Wainwright