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The Student-$t$ distribution is widely used in statistical modeling of datasets involving outliers since its longer-than-normal tails provide a robust approach to hand such data. Furthermore, data collected over time may contain censored or…

This paper focuses on the problem of the estimation of the cumulative hazard function of a distribution on a general complete separable metric space when the data points are subject to censoring by an arbitrary adapted random set. A problem…

Statistics Theory · Mathematics 2013-09-04 Alberto Carabarin Aguirre , B. Gail Ivanoff

Uncertainty in probabilistic classifiers predictions is a key concern when models are used to support human decision making, in broader probabilistic pipelines or when sensitive automatic decisions have to be taken. Studies have shown that…

Machine Learning · Computer Science 2021-09-09 Nicolas Posocco , Antoine Bonnefoy

Data-driven software is increasingly being used as a critical component of automated decision-support systems. Since this class of software learns its logic from historical data, it can encode or amplify discriminatory practices. Previous…

Software Engineering · Computer Science 2025-01-22 Verya Monjezi , Ashutosh Trivedi , Vladik Kreinovich , Saeid Tizpaz-Niari

In a completely randomized experiment, the variances of treatment effect estimators in the finite population are usually not identifiable and hence not estimable. Although some estimable bounds of the variances have been established in the…

Statistics Theory · Mathematics 2022-09-20 Ruoyu Wang , Qihua Wang , Wang Miao , Xiaohua Zhou

The estimation of conditional quantiles at extreme tails is of great interest in numerous applications. Various methods that integrate regression analysis with an extrapolation strategy derived from extreme value theory have been proposed…

Methodology · Statistics 2024-11-22 Yiwei Tang , Judy Huixia Wang , Deyuan Li

Prediction of quantiles at extreme tails is of interest in numerous applications. Extreme value modelling provides various competing predictors for this point prediction problem. A common method of assessment of a set of competing…

Applications · Statistics 2021-06-30 Axel Gandy , Kaushik Jana , Almut E. D. Veraart

Estimating the parameters of max-stable parametric models poses significant challenges, particularly when some parameters lie on the boundary of the parameter space. This situation arises when a subset of variables exhibits extreme values…

Methodology · Statistics 2026-04-08 Anas Mourahib , Anna Kiriliouk , Johan Segers

The purpose of this work is to improve the efficiency in estimating the average causal effect (ACE) on the survival scale where right-censoring exists and high-dimensional covariate information is available. We propose new estimators using…

Methodology · Statistics 2021-06-29 Ran Dai , Cheng Zheng , Mei-Jie Zhang

We propose a reinforcement learning method for estimating an optimal dynamic treatment regime for survival outcomes with dependent censoring. The estimator allows the failure time to be conditionally independent of censoring and dependent…

Methodology · Statistics 2022-05-13 Hunyong Cho , Shannon T. Holloway , David J. Couper , Michael R. Kosorok

It is often of interest to study the association between covariates and the cumulative incidence of a right-censored time-to-event outcome. When time-varying covariates are measured on a fixed discrete time scale, it is desirable to account…

Methodology · Statistics 2026-04-28 Hongxiang Qiu , Marco Carone , Alex Luedtke , Peter B. Gilbert

Multivariate extreme value statistical analysis is concerned with observations on several variables which are thought to possess some degree of tail-dependence. In areas such as the modeling of financial and insurance risks, or as the…

Applications · Statistics 2014-12-31 Alexis Bienvenüe , Christian Y. Robert

In this work, we focus on some conditional extreme risk measures estimation for elliptical random vectors. In a previous paper, we proposed a methodology to approximate extreme quantiles, based on two extremal parameters. We thus propose…

Statistics Theory · Mathematics 2018-07-26 Antoine Usseglio-Carleve

When randomized ensembles such as bagging or random forests are used for binary classification, the prediction error of the ensemble tends to decrease and stabilize as the number of classifiers increases. However, the precise relationship…

Probability · Mathematics 2019-05-01 Miles E. Lopes

We investigate the performance of model based bootstrap methods for constructing point-wise confidence intervals around the survival function with interval censored data. We show that bootstrapping from the nonparametric maximum likelihood…

Methodology · Statistics 2013-12-24 Bodhisattva Sen , Gongjun Xu

Under general multivariate regular variation conditions, the extreme Value-at-Risk of a portfolio can be expressed as an integral of a known kernel with respect to a generally unknown spectral measure supported on the unit simplex. The…

Statistics Theory · Mathematics 2020-03-09 Robert Yuen , Stilian Stoev , Dan Cooley

Observed accidents have been the main resource for road safety analysis over the past decades. Although such reliance seems quite straightforward, the rare nature of these events has made safety difficult to assess, especially for new and…

Applications · Statistics 2019-11-22 Joana Cavadas , Carlos Lima Azevedo , Haneen Farah , Ana Ferreira

Periodic inspections are necessary to keep railroad tracks in state of good repair and prevent train accidents. Automatic track inspection using machine vision technology has become a very effective inspection tool. Because of its…

Computer Vision and Pattern Recognition · Computer Science 2015-10-21 Xavier Gibert , Vishal M. Patel , Rama Chellappa

In recent years, epidemic modeling in complex networks has found many applications, including modeling of information or gossip spread in online social networks, modeling of malware spread in communication networks, and the most recent…

Social and Information Networks · Computer Science 2024-11-25 Aybike Şimşek

Nonparametric regression quantiles obtained by inverting a kernel estimator of the conditional distribution of the response are long established in statistics. Attention has been, however, restricted to ordinary quantiles staying away from…

Statistics Theory · Mathematics 2013-12-19 Abdelaati Daouia , Laurent Gardes , Stéphane Girard
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