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Small area estimation models are typically based on the normality assumption of response variables. More recently, attention has been drawn to the transformation of the original variables to justify the assumption of normality. Variance…

Methodology · Statistics 2025-07-08 Masayo Y. Hirose , Malay Ghosh , Mayumi Oka

Bagging can significantly improve the generalization performance of unstable machine learning algorithms such as trees or neural networks. Though bagging is now widely used in practice and many empirical studies have explored its behavior,…

Machine Learning · Computer Science 2019-08-08 Martin Mihelich , Charles Dognin , Yan Shu , Michael Blot

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

Methodology · Statistics 2020-05-20 Li-Chun Zhang

A novel approach to improve prediction and inference in M-estimation by integrating external information from heterogeneous populations is proposed. Our method leverages joint asymptotics to combine estimates from external and internal…

Methodology · Statistics 2025-09-08 Walter Dempsey , Jeremy M. G. Taylor

The present paper presents the detail discussion on estimation of population mean in simple random sampling in the presence of non-response. Motivated by Gupta and Shabbir (2008), we have suggested the class of estimators of population mean…

Statistics Theory · Mathematics 2014-05-15 Manoj Kr. Chaudhary , Anil Prajapati , Rajesh Singh , Florentin Smarandache

In modern statistics, interests shift from pursuing the uniformly minimum variance unbiased estimator to reducing mean squared error (MSE) or residual squared error. Shrinkage based estimation and regression methods offer better prediction…

Methodology · Statistics 2025-02-25 Tianyu Zhan , Haoda Fu , Jian Kang

We present two classes of improved estimators for mutual information $M(X,Y)$, from samples of random points distributed according to some joint probability density $\mu(x,y)$. In contrast to conventional estimators based on binnings, they…

Statistical Mechanics · Physics 2009-11-10 Alexander Kraskov , Harald Stoegbauer , Peter Grassberger

There has been increasing interest in recent years in the development of approaches to estimate causal effects when the number of potential confounders is prohibitively large. This growth in interest has led to a number of potential…

Methodology · Statistics 2020-02-05 Joseph Antonelli , Matthew Cefalu

Doubly robust estimators combine an inverse probability weighting estimator and a mass imputation estimator. Several doubly robust estimators for estimating the population mean (or prevalence) of an outcome have been proposed for…

Methodology · Statistics 2025-08-11 Shaun R Seaman , Tommy Nyberg , Anne M Presanis

Marginal model is a popular instrument for studying longitudinal data and cluster data. This paper investigates the estimator of marginal model with subgroup auxiliary information. To marginal model, we propose a new type of auxiliary…

Methodology · Statistics 2018-06-11 Jie He , Xiaogang Duan , Shumei Zhang , Hui Li

This paper proposes a new estimator for selecting weights to average over least squares estimates obtained from a set of models. Our proposed estimator builds on the Mallows model average (MMA) estimator of Hansen (2007), but, unlike MMA,…

Econometrics · Economics 2019-12-04 Kenichiro McAlinn , Kosaku Takanashi

We propose generalized resubstitution error estimators for regression, a broad family of estimators, each corresponding to a choice of empirical probability measures and loss function. The usual sum of squares criterion is a special case…

Machine Learning · Computer Science 2024-10-24 Diego Marcondes , Ulisses Braga-Neto

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

Methodology · Statistics 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

The paper studies the problem of distributed parameter estimation in multi-agent networks with exponential family observation statistics. A certainty-equivalence type distributed estimator of the consensus + innovations form is proposed in…

Probability · Mathematics 2014-02-04 Soummya Kar , Jose Moura

Modern causal inference methods allow machine learning to be used to weaken parametric modeling assumptions. However, the use of machine learning may result in complications for inference. Doubly-robust cross-fit estimators have been…

Methodology · Statistics 2022-03-11 Paul N Zivich , Alexander Breskin

In this article we provide some nonnegative and positive estimators of the mean squared errors(MSEs) for shrinkage estimators of multivariate normal means. Proposed estimators are shown to improve on the uniformly minimum variance unbiased…

Statistics Theory · Mathematics 2007-10-08 Hisayuki Hara

If part of a population is hidden but two or more sources are available that each cover parts of this population, dual- or multiple-system(s) estimation can be applied to estimate this population. For this it is common to use the log-linear…

Methodology · Statistics 2023-11-06 Daan B. Zult , Peter G. M. van der Heijden , Bart F. M. Bakker

Estimation of the allele frequency at genetic markers is a key ingredient in biological and biomedical research, such as studies of human genetic variation or of the genetic etiology of heritable traits. As genetic data becomes increasingly…

Applications · Statistics 2007-12-18 Marc Coram , Hua Tang

The weak convergence of the quantile processes, which are constructed based on different estimators of the finite population quantiles, is shown under various well-known sampling designs based on a superpopulation model. The results related…

Statistics Theory · Mathematics 2024-12-02 Anurag Dey , Probal Chaudhuri

Tracy et al.[8] have introduced a family of estimators using Srivenkataramana and Tracy ([6],[7]) transformation in simple random sampling. In this article, we have proposed a dual to ratio-cum-product estimator in stratified random…

Methodology · Statistics 2013-04-03 Rajesh Singh , Mukesh Kumar , Manoj K. Chaudhary , Cem Kadilar