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For many applications of probabilistic classifiers it is important that the predicted confidence vectors reflect true probabilities (one says that the classifier is calibrated). It has been shown that common models fail to satisfy this…

Machine Learning · Statistics 2022-10-10 Michael Panchenko , Anes Benmerzoug , Miguel de Benito Delgado

We study post-calibration uncertainty for trained ensembles of classifiers. Specifically, we consider both aleatoric (label noise) and epistemic (model) uncertainty. Among the most popular and widely used calibration methods in…

Machine Learning · Statistics 2026-02-24 Jakob Heiss , Sören Lambrecht , Jakob Weissteiner , Hanna Wutte , Žan Žurič , Josef Teichmann , Bin Yu

In this paper, a procedure is given for estimating the population mean in simple random sampling without replacement in the presence of auxiliary information. The mean squared error expressions of the proposed estimators have been derived…

Statistics Theory · Mathematics 2013-08-28 Rajesh Singh , Mukesh Kumar , Manoj K. Chaudhary

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

Methodology · Statistics 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

In this paper, we propose an empirical likelihood-based weighted estimator of regression parameter in quantile regression model with nonignorable missing covariates. The proposed estimator is computationally simple and achieves…

Methodology · Statistics 2017-10-10 Xiaohui Yuan , Xiaogang Dong

Quantile regression is often used when a comprehensive relationship between a response variable and one or more explanatory variables is desired. The traditional frequentists' approach to quantile regression has been well developed around…

Statistics Theory · Mathematics 2015-06-03 Yang Feng , Yuguo Chen , Xuming He

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…

Methodology · Statistics 2024-04-09 Vasilis Chasiotis , Dimitris Karlis

In this article, we propose a new method for analyzing longitudinal data which contain responses that are missing at random. This method consists in solving the generalized estimating equation (GEE) of Liang and Zeger (1986) in which the…

Statistics Theory · Mathematics 2018-03-16 Raluca M. Balan , Dina Jankovic

Recalibration of binary probabilistic classifiers to a target prior probability is an important task in areas like credit risk management. However, recalibration of a classifier learned on a training dataset to a target on a test dataset in…

Machine Learning · Computer Science 2026-02-02 Dirk Tasche

We consider a semiparametric generalized linear model and study estimation of both marginal and quantile effects in this model. We propose an approximate maximum likelihood estimator, and rigorously establish the consistency, the asymptotic…

Methodology · Statistics 2022-04-06 Seong-ho Lee , Yanyuan Ma , Elvezio Ronchetti

Generalizing causal estimates in randomized experiments to a broader target population is essential for guiding decisions by policymakers and practitioners in the social and biomedical sciences. While recent papers developed various…

Methodology · Statistics 2021-11-03 Melody Huang , Naoki Egami , Erin Hartman , Luke Miratrix

Efficient Bayesian model selection relies on the model evidence or marginal likelihood, whose computation often requires evaluating an intractable integral. The harmonic mean estimator (HME) has long been a standard method of approximating…

Computation · Statistics 2025-12-23 Dana Naderi , Christian P Robert , Kaniav Kamary , Darren Wraith

This article suggests an efficient class of estimators of population median of the study variable using an auxiliary variable. Asymptotic expressions of bias and mean square error of the proposed class of estimators have been obtained.…

Statistics Theory · Mathematics 2014-02-25 Prayas Sharma , Rajesh Singh

We consider the problem of simultaneous variable selection and estimation in additive, partially linear models for longitudinal/clustered data. We propose an estimation procedure via polynomial splines to estimate the nonparametric…

Statistics Theory · Mathematics 2013-02-04 Shujie Ma , Qiongxia Song , Li Wang

We propose a data assimilation scheme that produces the analyses for a global and an embedded limited area model simultaneously, considering forecast information from both models. The purpose of the proposed approach is twofold. First, we…

Chaotic Dynamics · Physics 2011-08-20 Young-noh Yoon , Brian R. Hunt , Edward Ott , Istvan Szunyogh

Calibration methods have been widely studied in survey sampling over the last decades. Viewing calibration as an inverse problem, we extend the calibration technique by using a maximum entropy method. Finding the optimal weights is achieved…

Methodology · Statistics 2009-09-23 Fabrice Gamboa , Jean-Michel Loubes , Paul Rochet

This paper studies theoretically and empirically a method of turning machine-learning algorithms into probabilistic predictors that automatically enjoys a property of validity (perfect calibration) and is computationally efficient. The…

Machine Learning · Computer Science 2015-11-16 Vladimir Vovk , Ivan Petej , Valentina Fedorova

The distance from calibration, introduced by B{\l}asiok, Gopalan, Hu, and Nakkiran (STOC 2023), has recently emerged as a central measure of miscalibration for probabilistic predictors. We study the fundamental problems of computing and…

Data Structures and Algorithms · Computer Science 2026-03-20 Mingda Qiao

Bayesian inference with empirical likelihood faces a challenge as the posterior domain is a proper subset of the original parameter space due to the convex hull constraint. We propose a regularized exponentially tilted empirical likelihood…

Methodology · Statistics 2026-04-23 Eunseop Kim , Steven N. MacEachern , Mario Peruggia

We calibrate a Natural History Model, which is a class of computer simulator used in the health industry, and here has been used to characterise bowel cancer incidence for the UK. The simulator tracks the development of bowel cancer in a…

Methodology · Statistics 2014-10-29 Jeremy E. Oakley , Benjamin D. Youngman