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Most extreme events in real life can be faithfully modeled as random realizations from a Generalized Pareto distribution, which depends on two parameters: the scale and the shape. In many actual situations, one is mostly concerned with the…

Statistics Theory · Mathematics 2016-06-30 Paul Rochet , Isabel Serra

An extreme-point symmetric mode decomposition (ESMD) method is proposed to improve the Hilbert-Huang Transform (HHT) through the following prospects: (1) The sifting process is implemented by the aid of 1, 2, 3 or more inner interpolating…

General Physics · Physics 2013-08-30 Jin-Liang Wang , Zong-Jun Li

Metocean extremes often vary systematically with covariates such as direction and season. In this work, we present non-stationary models for the size and rate of occurrence of peaks over threshold of metocean variables with respect to one-…

Methodology · Statistics 2022-01-12 Anna Maria Barlow , Ed Mackay , Emma Eastoe , Philip Jonathan

In this paper, we show how the sampling properties of the Hurst exponent methods of estimation change with the presence of heavy tails. We run extensive Monte Carlo simulations to find out how rescaled range analysis (R/S), multifractal…

Statistical Finance · Quantitative Finance 2012-01-24 Jozef Barunik , Ladislav Kristoufek

Off-policy learning and evaluation leverage logged bandit feedback datasets, which contain context, action, propensity score, and feedback for each data point. These scenarios face significant challenges due to high variance and poor…

Machine Learning · Computer Science 2025-06-10 Armin Behnamnia , Gholamali Aminian , Alireza Aghaei , Chengchun Shi , Vincent Y. F. Tan , Hamid R. Rabiee

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

Landslide monitoring is essential for understanding geohazards and mitigating associated risks. Existing point cloud-based methods, however, typically rely on either geometric or radiometric information and often yield sparse or non-3D…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Zhaoyi Wang , Jemil Avers Butt , Shengyu Huang , Tomislav Medic , Andreas Wieser

Modeling heterogeneity on heavy-tailed distributions under a regression framework is challenging, and classical statistical methodologies usually place conditions on the distribution models to facilitate the learning procedure. However,…

Methodology · Statistics 2024-10-29 Jiaxi Wang , Yanxi Hou , Xingchi Li , Tiandong Wang

In Change point detection task Likelihood Ratio Test (LRT) is sequentially applied in a sliding window procedure. Its high values indicate changes of parametric distribution in the data sequence. Correspondingly LRT values require…

Statistics Theory · Mathematics 2017-10-23 Nazar Buzun , Valeriy Avanesov

Anomaly detection methods are widely used but often rely on ad hoc rules or strong assumptions, and they often focus on tail events, missing ``inlier'' anomalies that occur in low-density gaps between modes. We propose a unified framework…

Methodology · Statistics 2026-03-11 Rob J Hyndman , David T. Frazier

We present the winning strategy for the EVA2025 Data Challenge, which aimed to estimate the probability of extreme precipitation events. These events occurred at most once in the dataset making the challenge fundamentally one of…

Methodology · Statistics 2026-05-29 Joseph de Vilmarest , Olivier Wintenberger

This work proposes a novel method to robustly and accurately model time series with heavy-tailed noise, in non-stationary scenarios. In many practical application time series have heavy-tailed noise that significantly impacts the…

Machine Learning · Statistics 2022-08-01 Elena Ehrlich , Laurent Callot , François-Xavier Aubet

There is a propensity for an extreme value analyses to be conducted as a consequence of the occurrence of a large flooding event. This timing of the analysis introduces bias and poor coverage probabilities into the associated risk…

Applications · Statistics 2021-07-02 Anna Maria Barlow , Chris Sherlock , Jonathan Tawn

Projections of extreme sea levels (ESLs) are critical for managing coastal risks, but are made complicated by deep uncertainties. One key uncertainty is the choice of model structure used to estimate coastal hazards. Differences in model…

Data Analysis, Statistics and Probability · Physics 2020-06-15 Tony E. Wong , Travis Torline , Mingxuan Zhang

Utilizing the information in observations of a complex system to make accurate predictions through a quantitative model when observations are completed at time $T$, requires an accurate estimate of the full state of the model at time $T$.…

Chaotic Dynamics · Physics 2014-05-13 Zhe An , Daniel Rey , Henry D. I. Abarbanel

Motivated by the EVA2025 data challenge, where we participated as the team DesiBoys, we propose a regression strategy within the framework of regular variation to estimate the occurrences and intensities of high precipitation extremes…

Methodology · Statistics 2026-02-10 Rishikesh Yadav , Arnab Hazra

We propose an extension of the regular Cox's proportional hazards model which allows the estimation of the probabilities of rare events. It is known that when the data are heavily censored at the upper end of the survival distribution, the…

Methodology · Statistics 2019-01-23 Ion Grama , Kevin Jaunatre

Extreme value theory offers a statistical framework for quantifying the risk of rare events, with the generalized Pareto (GP) distribution providing the canonical limit model for univariate threshold exceedances. In many applications,…

Methodology · Statistics 2026-04-15 Mirco Lescart , Anna Kiriliouk , Philippe Naveau

Legged locomotion in constrained spaces (called crawl spaces) is challenging. In crawl spaces, current proprioceptive locomotion learning methods are difficult to achieve traverse because only ground features are inferred. In this study, a…

Robotics · Computer Science 2025-12-05 Bida Ma , Nuo Xu , Chenkun Qi , Xin Liu , Yule Mo , Jinkai Wang , Chunpeng Lu

The methods for determination of the characteristics of the extrema are discussed with an application to irregularly spaced data, which are characteristic for photometrical observations of variable stars. We introduce new special functions,…

Solar and Stellar Astrophysics · Physics 2018-01-17 Kateryna D. Andrych , Ivan L. Andronov , Lidia L. Chinarova