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Robust methods, though ubiquitous in practice, are yet to be fully understood in the context of regularized estimation and high dimensions. Even simple questions become challenging very quickly. For example, classical statistical theory…

统计理论 · 数学 2023-11-10 Jing Zhou , Gerda Claeskens , Jelena Bradic

The problem of estimation of density functionals like entropy and mutual information has received much attention in the statistics and information theory communities. A large class of estimators of functionals of the probability density…

统计理论 · 数学 2013-03-05 Kumar Sricharan , Dennis Wei , Alfred O. Hero

In this paper, we combine calibration for population totals proposed by Deville and S\"arndal (1992) with calibration for population quantiles introduced by Harms and Duchesne (2006). We also extend the pseudo-empirical likelihood method…

统计方法学 · 统计学 2023-08-28 Maciej Beręsewicz , Marcin Szymkowiak

Stochastic gradient descent (SGD) has been widely studied in the literature from different angles, and is commonly employed for solving many big data machine learning problems. However, the averaging technique, which combines all iterative…

机器学习 · 计算机科学 2020-05-28 Zhishuai Guo , Yan Yan , Tianbao Yang

Finite population inference is a central goal in survey sampling. Probability sampling is the main statistical approach to finite population inference. Challenges arise due to high cost and increasing non-response rates. Data integration…

统计方法学 · 统计学 2020-01-13 Shu Yang , Jae Kwang Kim

Non-probability sampling is prevailing in survey sampling, but ignoring its selection bias leads to erroneous inferences. We offer a unified nonparametric calibration method to estimate the sampling weights for a non-probability sample by…

统计方法学 · 统计学 2022-04-21 Zhonglei Wang , Xiaojun Mao , Jae Kwang Kim

In the present investigation, we build a bridge between the generalized regression (GREG) estimator due to Deville and Sarndal (1992) and the linear regression estimator due to Hansen, Hurwitz and Madow (1953) in the presence of single…

统计方法学 · 统计学 2009-02-20 Sarjinder Singh , Raghunath Arnab

The importance of exploring a potential integration among surveys has been acknowledged in order to enhance effectiveness and minimize expenses. In this work, we employ the alignment method to combine information from two different surveys…

统计方法学 · 统计学 2024-04-09 Vasilis Chasiotis , Dimitris Karlis

Umbrella sampling efficiently yields equilibrium averages that depend on exploring rare states of a model by biasing simulations to windows of coordinate values and then combining the resulting data with physical weighting. Here, we…

统计力学 · 物理学 2016-09-21 Erik Thiede , Brian Van Koten , Jonathan Weare , Aaron R. Dinner

Calibration is a pivotal aspect in predictive modeling, as it ensures that the predictions closely correspond with what we observe empirically. The contemporary calibration framework, however, is predominantly focused on prediction models…

统计方法学 · 统计学 2023-09-18 Bavo De Cock Campo

Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

统计理论 · 数学 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

In this article we propose a new variable selection method for analyzing data collected from longitudinal sample surveys. The procedure is based on the survey-weighted quadratic inference function, which was recently introduced as an…

统计理论 · 数学 2021-05-04 Laura Dumitrescu , Wei Qian , J. N. K. Rao

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

计量经济学 · 经济学 2024-02-27 Felix Chan , Laszlo Matyas

We consider the problem of calibration and the GREG method as suggested and studied in Deville and Sarndal (1992). We show that a GREG type estimator is typically not minimal variance unbiased estimator even asymptotically. We suggest a…

统计方法学 · 统计学 2011-06-23 E. Greenshtein , Y. Ritov

Envelope methodology is succinctly pitched as a class of procedures for increasing efficiency in multivariate analyses without altering traditional objectives \citep[first sentence of page 1]{cook2018introduction}. This description is true…

统计方法学 · 统计学 2020-02-05 Daniel J. Eck

We commonly encounter the problem of identifying an optimally weight adjusted version of the empirical distribution of observed data, adhering to predefined constraints on the weights. Such constraints often manifest as restrictions on the…

机器学习 · 统计学 2024-01-17 Abhisek Chakraborty , Anirban Bhattacharya , Debdeep Pati

We study the matrix completion problem when the observation pattern is deterministic and possibly non-uniform. We propose a simple and efficient debiased projection scheme for recovery from noisy observations and analyze the error under a…

信息论 · 计算机科学 2019-10-31 Simon Foucart , Deanna Needell , Reese Pathak , Yaniv Plan , Mary Wootters

This paper develops a variance estimation framework for matching estimators that enables valid population inference for treatment effects. We provide theoretical analysis of a variance estimator that addresses key limitations in the…

统计方法学 · 统计学 2025-06-16 Xiang Meng , Aaron Smith , Luke Miratrix

Weighting procedures are used in observational causal inference to adjust for covariate imbalance within the sample. Common practice for inference is to estimate robust standard errors from a weighted regression of outcome on treatment.…

统计方法学 · 统计学 2025-07-29 Erin Hartman , Chad Hazlett , Arisa Sadeghpour

The goal of survey design is often to minimize the errors associated with inference: the total of bias and variance. Random surveys are common because they allow the use of theoretically unbiased estimators. In practice however, such…

统计方法学 · 统计学 2023-02-14 Connie Okasaki , Sándor F. Tóth , Andrew M. Berdahl