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We study tail estimation in Pareto-like settings for datasets with a high percentage of randomly right-censored data, and where some expert information on the tail index is available for the censored observations. This setting arises for…

应用统计 · 统计学 2019-11-13 Martin Bladt , Hansjoerg Albrecher , Jan Beirlant

A novel and comprehensive methodology designed to tackle the challenges posed by extreme values in the context of random censorship is introduced. The main focus is on the analysis of integrals based on the product-limit estimator of…

统计理论 · 数学 2025-02-18 Martin Bladt , Igor Rodionov

We revisit the estimation of the extreme value index for randomly censored data from a heavy tailed distribution. We introduce a new class of estimators which encompasses earlier proposals given in Worms and Worms (2014) and Beirlant et al.…

统计理论 · 数学 2018-04-19 Jan Beirlant , Julien Worms , Rym Worms

The subject of tail estimation for randomly censored data from a heavy tailed distribution receives growing attention, motivated by applications for instance in actuarial statistics. The bias of the available estimators of the extreme value…

统计方法学 · 统计学 2017-05-19 Jan Beirlant , Gaonyalelwe Maribe , Andrehette Verster

A new approach based on censoring and moment criterion is introduced for parameter estimation of count distributions when the probability generating function is available even though a closed form of the probability mass function and/or…

统计理论 · 数学 2024-09-18 Antonio Di Noia , Marzia Marcheselli , Caterina Pisani , Luca Pratelli

We consider linear regression model estimation where the covariate of interest is randomly censored. Under a non-informative censoring mechanism, one may obtain valid estimates by deleting censored observations. However, this comes at a…

应用统计 · 统计学 2017-10-24 Folefac Atem , Roland A. Matsouaka

This paper considers estimation and inference about tail features when the observations beyond some threshold are censored. We first show that ignoring such tail censoring could lead to substantial bias and size distortion, even if the…

计量经济学 · 经济学 2020-02-25 Yulong Wang , Zhijie Xiao

We consider estimation of the extreme value index and extreme quantiles for heavy-tailed data that are right-censored. We study a general procedure of removing low importance observations in tail estimators. This trimming procedure is…

统计理论 · 数学 2021-05-13 Martin Bladt , Hansjoerg Albrecher , Jan Beirlant

Estimation of the extreme value index under right censoring is a fundamental problem in extreme value theory, with important applications in finance, insurance, and reliability. Classical integral estimators for Pareto-type tails typically…

统计理论 · 数学 2026-05-14 Abdelhakim Necir , Nour Elhouda Guesmia , Djamel Meraghni

We make use of the empirical process theory to approximate the adapted Hill estimator, for censored data, in terms of Gaussian processes. Then, we derive its asymptotic normality, only under the usual second-order condition of regular…

统计理论 · 数学 2015-07-07 Brahim Brahimi , Djamel Meraghni , Abdelhakim Necir

How to include censored data in a statistical analysis is a recur-rent issue in statistics. In multivariate extremes, the dependence structure of large observations can be characterized in terms of a non parametric angular measure, while…

统计方法学 · 统计学 2014-12-03 Anne Sabourin

Analysis of random censored life-time data along with some related stochastic covariables is of great importance in many applied sciences like medical research, population studies and planning etc. The parametric estimation technique…

统计理论 · 数学 2019-05-09 Abhik Ghosh , Ayanendranath Basu

The setting of a right-censored random sample subject to contamination is considered. In various fields, expert information is often available and used to overcome the contamination. This paper integrates expert knowledge into the…

统计方法学 · 统计学 2023-03-28 Martin Bladt , Christian Furrer

Transformation models provide a common tool for regression analysis of censored failure time data. The most common approach towards parameter estimation in these models is based on the nonparametric profile likelihood method. Several…

统计理论 · 数学 2007-06-13 Dorota M. Dabrowska

In this article, we propose some new generalizations of M-estimation procedures for single-index regression models in presence of randomly right-censored responses. We derive consistency and asymptotic normality of our estimates. The…

统计理论 · 数学 2008-12-18 Olivier Lopez

In this paper, we are concerned with nonparametric estimation of the multivariate regression function in the presence of right censored data. More precisely, we propose a statistic that is shown to be asymptotically normally distributed…

统计理论 · 数学 2008-02-08 Mohammed Debbarh , Vivian Viallon

Computational capability often falls short when confronted with massive data, posing a common challenge in establishing a statistical model or statistical inference method dealing with big data. While subsampling techniques have been…

统计方法学 · 统计学 2024-10-31 Yixiao Ruan , Zan Li , Zhaohui Li , Dennis K. J. Lin , Qingpei Hu , Dan Yu

The task of analyzing extreme events with censoring effects is considered under a framework allowing for random covariate information. A wide class of estimators that can be cast as product-limit integrals is considered, for when the…

统计理论 · 数学 2024-08-14 Martin Bladt , Christoffer Øhlenschlæger

Linear regression is arguably the most prominent among statistical inference methods, popular both for its simplicity as well as its broad applicability. On par with data-intensive applications, the sheer size of linear regression problems…

应用统计 · 统计学 2016-06-29 Dimitris Berberidis , Vassilis Kekatos , Georgios B. Giannakis

In some estimation problems, especially in applications dealing with information theory, signal processing and biology, theory provides us with additional information allowing us to restrict the parameter space to a finite number of points.…

统计方法学 · 统计学 2012-07-25 Christine Choirat , Raffaello Seri
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