English
Related papers

Related papers: A family of median based estimators in simple rand…

200 papers

Predictive mean matching imputation is popular for handling item nonresponse in survey sampling. In this article, we study the asymptotic properties of the predictive mean matching estimator of the population mean. For variance estimation,…

Methodology · Statistics 2018-01-16 Shu Yang , Jae Kwang Kim

Marginal imputation, which consists of imputing each item requiring imputation separately, is often used in surveys. This type of imputation procedures leads to asymptotically unbiased estimators of simple parameters such as population…

Methodology · Statistics 2015-11-04 Hélène Chaput , Guillaume Chauvet , David Haziza , Laurianne Salembier , Julie Solard

In this paper, we consider a statistical problem of learning a linear model from noisy samples. Existing work has focused on approximating the least squares solution by using leverage-based scores as an importance sampling distribution.…

Machine Learning · Statistics 2016-02-11 Siheng Chen , Rohan Varma , Aarti Singh , Jelena Kovačević

We consider the estimation of a scalar parameter, when two estimators are available. The first is always consistent. The second is inconsistent in general, but has a smaller asymptotic variance than the first, and may be consistent if an…

Statistics Theory · Mathematics 2020-06-29 Clément de Chaisemartin , Xavier D'Haultfœuille

The non-parametric estimation of average causal effects in observational studies often relies on controlling for confounding covariates through smoothing regression methods such as kernel, splines or local polynomial regression. Such…

Methodology · Statistics 2017-10-20 Jenny Häggström , Xavier de Luna

In this manuscript a unified framework for conducting inference on complex aggregated data in high dimensional settings is proposed. The data are assumed to be a collection of multiple non-Gaussian realizations with underlying undirected…

Applications · Statistics 2013-10-14 Fang Han , Han Liu , Brian Caffo

The present manuscript is concerned with component-wise estimation of the positive power of ordered restricted standard deviation of two normal populations with certain restrictions on the means. We propose several improved estimators under…

Statistics Theory · Mathematics 2025-08-26 Somnath Mondal , Lakshmi Kanta Patra

In this paper, we propose an estimator of the generalized maximum mean discrepancy between several distributions, constructed by modifying a naive estimator. Asymptotic normality is obtained for this estimator both under equality of these…

Statistics Theory · Mathematics 2020-03-13 Armando Sosthene Kali Balogoun , Guy Martial Nkiet , Carlos Ogouyandjou

This article provides a central limit theorem for a consistent estimator of population eigenvalues with large multiplicities based on sample covariance matrices. The focus is on limited sample size situations, whereby the number of…

Probability · Mathematics 2011-08-31 Jianfeng Yao , Romain Couillet , Jamal Najim , Merouane Debbah

In this article, we derive an explicit formula for computing confidence interval for the mean of a bounded random variable. Moreover, we have developed multistage point estimation methods for estimating the mean value with prescribed…

Statistics Theory · Mathematics 2010-11-29 Xinjia Chen

A parameter estimation method is devised for a slow-fast stochastic dynamical system, where often only the slow component is observable. By using the observations only on the slow component, the system parameters are estimated by working on…

Dynamical Systems · Mathematics 2013-03-20 Jian Ren , Jinqiao Duan

In this paper, we have established a new framework of truncated inverse sampling for estimating mean values of non-negative random variables such as binomial, Poisson, hyper-geometrical, and bounded variables. We have derived explicit…

Statistics Theory · Mathematics 2013-11-05 Xinjia Chen

We propose small area estimators of general indicators in off-census years, which avoid the use of deprecated census microdata, but are nearly optimal in census years. The procedure is based on replacing the obsolete census file with a…

Methodology · Statistics 2025-11-20 William Acero , Isabel Molina , J. Miguel Marín

A new approach for Bayesian model averaging (BMA) and selection is proposed, based on the mixture model approach for hypothesis testing in Kaniav et al., 2014. Inheriting from the good properties of this approach, it extends BMA to cases…

Methodology · Statistics 2018-08-02 Merlin Keller , Kaniav Kamary

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 propose a wide class of recursive estimation procedures for the general…

Statistics Theory · Mathematics 2007-05-23 Teo Sharia

Thomas' partial likelihood estimator of regression parameters is widely used in the analysis of nested case-control data with Cox's model. This paper proposes a new estimator of the regression parameters, which is consistent and…

Statistics Theory · Mathematics 2007-06-13 Kani Chen

In this paper, we study the minimum mean square estimator for non-bounded random variables under sublinear operators. The existence and uniqueness of the minimum mean square estimator are obtained. Several properties of the minimum mean…

Probability · Mathematics 2019-03-07 Shaolin Ji , Chuiliu Kong , Chuanfeng Sun

Under a partially linear models we study a family of robust estimates for the regression parameter and the regression function when some of the predictor variables take values on a Riemannian manifold. We obtain the consistency and the…

Statistics Theory · Mathematics 2011-05-26 Guillermo Henry , Daniela Rodriguez

We investigate the accuracy of the two most common estimators for the maximum expected value of a general set of random variables: a generalization of the maximum sample average, and cross validation. No unbiased estimator exists and we…

Machine Learning · Statistics 2013-03-04 Hado van Hasselt

This paper studies the problem of finding the median of N distinct numbers distributed across networked agents. Each agent updates its estimate for the median from noisy local observations of one of the N numbers and information from…

Optimization and Control · Mathematics 2021-10-12 Shuhua Yu , Yuan Chen , Soummya Kar