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Classical semiparametric inference with missing outcome data is not robust to contamination of the observed data and a single observation can have arbitrarily large influence on estimation of a parameter of interest. This sensitivity is…

统计方法学 · 统计学 2021-03-02 Eva Cantoni , Xavier de Luna

Non-negative two-part outcomes are defined as outcomes with a density function that have a zero point mass but are otherwise positive. Examples, such as healthcare expenditure and hospital length of stay, are common in healthcare…

We study online aggregation of the predictions of experts, and first show new second-order regret bounds in the standard setting, which are obtained via a version of the Prod algorithm (and also a version of the polynomially weighted…

机器学习 · 统计学 2014-02-11 Pierre Gaillard , Gilles Stoltz , Tim Van Erven

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

动力系统 · 数学 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

Chakrabarty, Khoshnevisan, Sahai and Ray, Solanki suggested some estimators to estimate unknown population mean of the study variable. These authors discussed the estimators along with their first order biases and mean square errors(MSEs).…

统计理论 · 数学 2013-09-13 prayas sharma , rajesh singh , Jong-Min Kim

How to deal with missing data in observational studies is a common concern for causal inference. When the covariates are missing at random (MAR), multiple approaches have been provided to help solve the issue. However, if the exposure is…

统计方法学 · 统计学 2024-06-14 Yuliang Shi , Yeying Zhu , Joel A. Dubin

Two-phase outcome dependent sampling (ODS) is widely used in many fields, especially when certain covariates are expensive and/or difficult to measure. For two-phase ODS, the conditional maximum likelihood (CML) method is very attractive…

统计方法学 · 统计学 2022-12-21 Menglu Che , Peisong Han , Jerald F. Lawless

Doubly protected estimators are widely used for estimating the population mean of an outcome Y from a sample where the response is missing in some individuals. To compensate for the missing responses, a vector X of covariates is observed at…

统计方法学 · 统计学 2017-11-07 Julieta Molina , Mariela Sued , Marina Valdora , Víctor Yohai

This work presents a technique for statistically modeling errors introduced by reduced-order models. The method employs Gaussian-process regression to construct a mapping from a small number of computationally inexpensive `error indicators'…

数值分析 · 计算机科学 2015-04-16 Martin Drohmann , Kevin Carlberg

We introduce a recursive algorithm of conveniently general form for estimating the coefficient of a moving average model of order one and obtain convergence results for both correct and misspecified MA(1) models. The algorithm encompasses…

统计理论 · 数学 2007-06-13 James L. Cantor , David F. Findley

In the past couple of years, various approaches to representing and quantifying different types of predictive uncertainty in machine learning, notably in the setting of classification, have been proposed on the basis of second-order…

机器学习 · 计算机科学 2023-12-05 Yusuf Sale , Viktor Bengs , Michele Caprio , Eyke Hüllermeier

This paper presents a score-based weighted likelihood estimator (SWLE) for robust estimations of generalized linear model (GLM) for insurance loss data. The SWLE exhibits a limited sensitivity to the outliers, theoretically justifying its…

统计方法学 · 统计学 2022-04-25 Tsz Chai Fung

Pre-trained machine learning (ML) predictions have been increasingly used to complement incomplete data to enable downstream scientific inquiries, but their naive integration risks biased inferences. Recently, multiple methods have been…

统计方法学 · 统计学 2025-11-12 Xingran Chen , Tyler McCormick , Bhramar Mukherjee , Zhenke Wu

We study the problem of robustly estimating the mean of a $d$-dimensional distribution given $N$ examples, where most coordinates of every example may be missing and $\varepsilon N$ examples may be arbitrarily corrupted. Assuming each…

数据结构与算法 · 计算机科学 2021-05-04 Lunjia Hu , Omer Reingold

Adjusting for (baseline) covariates with working regression models becomes standard practice in the analysis of randomized clinical trials (RCT). When the dimension $p$ of the covariates is large relative to the sample size $n$,…

统计方法学 · 统计学 2025-12-24 Yujia Gu , Lin Liu , Wei Ma

The first- and second-order optimum achievable exponents in the simple hypothesis testing problem are investigated. The optimum achievable exponent for type II error probability, under the constraint that the type I error probability is…

信息论 · 计算机科学 2018-04-04 Te Sun Han , Ryo Nomura

Learning models that can handle distribution shifts is a key challenge in domain generalization. Invariance learning, an approach that focuses on identifying features invariant across environments, improves model generalization by capturing…

机器学习 · 统计学 2026-05-11 Yiran Jia , Jelena Bradic

Linear thresholding models postulate that the conditional distribution of a response variable in terms of covariates differs on the two sides of a (typically unknown) hyperplane in the covariate space. A key goal in such models is to learn…

统计理论 · 数学 2021-10-01 Debarghya Mukherjee , Moulinath Banerjee , Debasri Mukherjee , Ya'acov Ritov

The missing data problem has been broadly studied in the last few decades and has various applications in different areas such as statistics or bioinformatics. Even though many methods have been developed to tackle this challenge, most of…

In this paper we discuss improved estimators for the regression and the dispersion parameters in an extended class of dispersion models (J{\o}rgensen, 1996). This class extends the regular dispersion models by letting the dispersion…

统计方法学 · 统计学 2010-01-14 Alexandre B. Simas , Andréa V. Rocha , Wagner Barreto-Souza