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This paper presents a novel estimation approach for cumulative link models, based on median bias reduction as developed in Kenne Pagui et al. (2017). The median bias reduced estimator is obtained as solution of an estimating equation based…

Methodology · Statistics 2020-09-16 Vincenzo Gioia , Euloge Clovis Kenne Pagui , Alessandra Salvan

In causal inference, sensitivity models assess how unmeasured confounders could alter causal analyses, but the sensitivity parameter -- which quantifies the degree of unmeasured confounding -- is often difficult to interpret. For this…

Methodology · Statistics 2025-09-04 Alec McClean , Zach Branson , Edward H. Kennedy

Expert workers make non-trivial decisions with significant implications. Experts' decision accuracy is thus a fundamental aspect of their judgment quality, key to both management and consumers of experts' services. Yet, in many important…

Machine Learning · Computer Science 2021-10-25 Wanxue Dong , Maytal Saar-Tsechansky , Tomer Geva

Contamination of water resources with pathogenic microorganisms excreted in human feces is a worldwide public health concern. Surveillance of fecal contamination is commonly performed by routine monitoring for a single type or a few types…

Applications · Statistics 2021-10-13 HongYuan Cao , Tsuyoshi Kato

A theory of martingales for censoring is developed. The Doob-Meyer martingale is shown to be inadequate in general, and a repaired martingale is proposed with a non-predictable centering term. Associated martingale transforms, variation…

Statistics Theory · Mathematics 2024-03-06 Benjamin R. Baer , Robert L. Strawderman

We describe a viewpoint on the Dempster/Shafer 'Theory of Evidence', and provide an interpretation which regards the combination formulas as statistics of the opinions of "experts". This is done by introducing spaces with binary operations…

Artificial Intelligence · Computer Science 2013-04-12 Robert Hummel , Michael Landy

Mixtures of experts models provide a framework in which covariates may be included in mixture models. This is achieved by modelling the parameters of the mixture model as functions of the concomitant covariates. Given their mixture model…

Methodology · Statistics 2018-06-22 Isobel Claire Gormley , Sylvia Frühwirth-Schnatter

Inferential challenges that arise when data are censored have been extensively studied under the classical frameworks. In this paper, we provide an alternative generalized inferential model approach whose output is a data-dependent…

Methodology · Statistics 2021-11-16 Joyce Cahoon , Ryan Martin

We study counterfactual regression, which aims to map input features to outcomes under hypothetical scenarios that differ from those observed in the data. This is particularly useful for decision-making when adapting to sudden shifts in…

Methodology · Statistics 2025-04-08 Kwangho Kim

Good robust estimators can be tuned to combine a high breakdown point and a specified asymptotic efficiency at a central model. This happens in regression with MM- and tau-estimators among others. However, the finite-sample efficiency of…

Statistics Theory · Mathematics 2013-11-21 Ricardo Maronna , Víctor Yohai

We introduce probability estimation, a broadly applicable framework to certify randomness in a finite sequence of measurement results without assuming that these results are independent and identically distributed. Probability estimation…

Quantum Physics · Physics 2018-11-30 Yanbao Zhang , Emanuel Knill , Peter Bierhorst

We consider the classical problem of discrete distribution estimation using i.i.d. samples in a novel scenario where additional side information is available on the distribution. In large alphabet datasets such as text corpora, such side…

Information Theory · Computer Science 2026-01-19 Haricharan Balasundaram , Andrew Thangaraj

Rerandomization systematically reduces chance imbalance and can improve the efficiency of the average treatment effect estimator in randomized experiments. While the asymptotic properties of finite-dimensional M-estimators under…

Methodology · Statistics 2026-04-28 Xinyuan Chen , Fan Li

Conformal prediction is a statistically rigorous method for quantifying uncertainty in models by having them output sets of predictions, with larger sets indicating more uncertainty. However, prediction sets are not inherently actionable;…

Machine Learning · Computer Science 2025-02-17 Jesse C. Cresswell , Bhargava Kumar , Yi Sui , Mouloud Belbahri

Finite sample bounds on the estimation error of the mean by the empirical mean, uniform over a class of functions, can often be conveniently obtained in terms of Rademacher or Gaussian averages of the class. If a function of n variables has…

Probability · Mathematics 2015-03-10 Andreas Maurer

This paper addresses the problem of identifying and estimating the causal effect of a treatment in the presence of unmeasured confounding and various types of right-censoring. Examples of these censoring mechanisms are administrative…

Statistics Theory · Mathematics 2025-03-19 Ilias Willems , Sara Rutten , Gilles Crommen , Ingrid Van Keilegom

Planning quality assurance (QA) activities in a systematic way and controlling their execution are challenging tasks for companies that develop software or software-intensive systems. Both require estimation capabilities regarding the…

Software Engineering · Computer Science 2014-01-14 Michael Kläs , Haruka Nakao , Frank Elberzhager , Jürgen Münch

This paper presents a conformal prediction method for classification in highly imbalanced and open-set settings, where there are many possible classes and not all may be represented in the data. Existing approaches require a finite, known…

Machine Learning · Statistics 2025-10-16 Tianmin Xie , Yanfei Zhou , Ziyi Liang , Stefano Favaro , Matteo Sesia

With reference to a stratified case-control procedure based on a binary variable of primary interest, we derive the expression of the distortion induced by the sampling design on the parameters of the logistic model of a secondary variable.…

Methodology · Statistics 2024-01-18 Marco Doretti , Minna Genbäck , Elena Stanghellini

We study robust testing and estimation of discrete distributions in the strong contamination model. We consider both the "centralized setting" and the "distributed setting with information constraints" including communication and local…

Information Theory · Computer Science 2021-04-23 Jayadev Acharya , Ziteng Sun , Huanyu Zhang