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We consider strictly stationary heavy tailed time series whose finite-dimensional exponent measures are concentrated on axes, and hence their extremal properties cannot be tackled using classical multivariate regular variation that is…

Statistics Theory · Mathematics 2014-10-10 Rafal Kulik , Philippe Soulier

We address the problem of estimating the Weibull tail-coefficient which is the regular variation exponent of the inverse failure rate function. We propose a family of estimators of this coefficient and an associate extreme quantile…

Methodology · Statistics 2024-09-04 Laurent Gardes , Stéphane Girard

Inference in extreme value theory relies on a limited number of extreme observations, making estimation challenging. To address this limitation, we propose a non-parametric simulation scheme, the multivariate extreme events spectral…

Methodology · Statistics 2026-04-13 Nisrine Madhar , Juliette Legrand , Maud Thomas

Skeleton-based action recognition has recently made significant progress. However, data imbalance is still a great challenge in real-world scenarios. The performance of current action recognition algorithms declines sharply when training…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Hongda Liu , Yunlong Wang , Min Ren , Junxing Hu , Zhengquan Luo , Guangqi Hou , Zhenan Sun

Exemplar-based colourisation aims to add plausible colours to a grayscale image using the guidance of a colour reference image. Most of the existing methods tackle the task as a style transfer problem, using a convolutional neural network…

Image and Video Processing · Electrical Eng. & Systems 2021-05-06 Marc Gorriz Blanch , Issa Khalifeh , Alan Smeaton , Noel O'Connor , Marta Mrak

Stationarity is a very common assumption in time series analysis. A vector autoregressive process is stationary if and only if the roots of its characteristic equation lie outside the unit circle, constraining the autoregressive coefficient…

Methodology · Statistics 2022-05-18 Sarah E. Heaps

There is a lack of simple and scalable algorithms for uncertainty quantification. Bayesian methods quantify uncertainty through posterior and predictive distributions, but it is difficult to rapidly estimate summaries of these…

Computation · Statistics 2016-12-28 Cheng Li , Sanvesh Srivastava , David B. Dunson

Given a grayscale photograph as input, this paper attacks the problem of hallucinating a plausible color version of the photograph. This problem is clearly underconstrained, so previous approaches have either relied on significant user…

Computer Vision and Pattern Recognition · Computer Science 2016-10-06 Richard Zhang , Phillip Isola , Alexei A. Efros

This research incorporates realized volatility and overnight information into risk models, wherein the overnight return often contributes significantly to the total return volatility. Extending a semi-parametric regression model based on…

Risk Management · Quantitative Finance 2024-02-13 Cathy W. S. Chen , Takaaki Koike , Wei-Hsuan Shau

In risk management, tail risks are of crucial importance. The assessment of risks should be carried out in accordance with the regulatory authority's requirement at high quantiles. In general, the underlying distribution function is…

Risk Management · Quantitative Finance 2020-07-15 Ingo Hoffmann , Christoph J. Börner

We propose a class of weighted least squares estimators for the tail index of a distribution function with a regularly varying upper tail. Our approach is based on the method developed by \cite{Holan2010} for the Parzen tail index.…

Statistics Theory · Mathematics 2020-03-02 Amenah AL-Najafi , László Viharos

The ideas of model averaging are used to find weights in peak-over-threshold problems using a possible range of thresholds. A range of the largest observations are chosen and considered as possible thresholds, each time performing…

Other Statistics · Statistics 2014-10-30 J. Martin van Zyl

Motivated by the prominence of Conditional Value-at-Risk (CVaR) as a measure for tail risk in settings affected by uncertainty, we develop a new formula for approximating CVaR based optimization objectives and their gradients from limited…

Methodology · Statistics 2020-08-25 Anand Deo , Karthyek Murthy

This paper addresses the problem of estimating the tail index of distributions with heavy, Pareto-type tails for dependent data, that is of interest in the areas of finance, insurance, environmental monitoring and teletraffic analysis. A…

Methodology · Statistics 2010-05-25 Stilian A Stoev , George Michailidis

This paper presents precise large deviation estimates for solutions to stochastic fixed point equations of the type V =_d f(V), where f(v) = Av + g(v) for a random function g(v) = o(v) a.s. as v tends to infinity. Specifically, we provide…

Probability · Mathematics 2011-03-15 Jeffrey F. Collamore , Anand N. Vidyashankar

This thesis evaluates most of the extreme mixture models and methods that have appended in the literature and implements them in the context of finance and insurance. The paper also reviews and studies extreme value theory, time series,…

General Economics · Economics 2024-07-09 Yujuan Qiu

Long-tailed recognition is ubiquitous and challenging in deep learning and even in the downstream finetuning of foundation models, since the skew class distribution generally prevents the model generalization to the tail classes. Despite…

Machine Learning · Computer Science 2025-10-10 Jiaan Luo , Feng Hong , Qiang Hu , Xiaofeng Cao , Feng Liu , Jiangchao Yao

The normal distribution and its perturbation has left an immense mark on the statistical literature. Hence, several generalized forms were developed to model different skewness, kurtosis, and body shapes. However, it is not easy to…

Methodology · Statistics 2019-12-10 Matthias Wagener , Mohammad Arashi

Motivated by normalizing DNA microarray data and by predicting the interest rates, we explore nonparametric estimation of additive models with highly correlated covariates. We introduce two novel approaches for estimating the additive…

Statistics Theory · Mathematics 2010-10-05 Jiancheng Jiang , Yingying Fan , Jianqing Fan

This article focuses on covariance estimation for multi-view data. Popular approaches rely on factor-analytic decompositions that have shared and view-specific latent factors. Posterior computation is conducted via expensive and brittle…

Methodology · Statistics 2026-04-20 Lorenzo Mauri , David B. Dunson