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Large-scale rare events data are commonly encountered in practice. To tackle the massive rare events data, we propose a novel distributed estimation method for logistic regression in a distributed system. For a distributed framework, we…

统计方法学 · 统计学 2023-04-06 Xuetong Li , Xuening Zhu , Hansheng Wang

Enduring violent conflicts are interrupted by lulls without violence. Studies of interevent times found power law distributions based on coarse-grained data with a resolution of one day. Fine-grained data of violence with a resolution of…

物理与社会 · 物理学 2026-04-14 Jeroen Bruggeman

Article describes the results of the development and using of Rare-Event Monte-Carlo Simulation Algorithms for Dynamic Fault Trees Estimation. For Fault Trees estimation usually analytical methods are used (Minimal Cut sets, Markov Chains,…

应用统计 · 统计学 2016-01-28 Sergey Porotsky

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

In this paper, we provide finite sample results to assess the consistency of Generalized Pareto regression trees, as tools to perform extreme value regression. The results that we provide are obtained from concentration inequalities, and…

统计理论 · 数学 2021-12-21 Sébastien Farkas , Antoine Heranval , Olivier Lopez , Maud Thomas

We study local power fluctuations in numerical simulations of stationary, homogeneous, isotropic turbulence in two and three dimensions with Gaussian forcing. Due to the near-Gaussianity of the one-point velocity distribution, the…

统计力学 · 物理学 2009-11-13 M. M. Bandi , Sergei G. Chumakov , Colm Connaughton

Statistical system models provide the basis for the examination of various sorts of distributions. Classification distributions are a very common and versatile form of statistics in e.g. real economic, social, and IT systems. The…

统计计算 · 统计学 2019-12-20 Uwe Petersohn , Thomas Dedek , Sandra Zimmer , Hans Biskupski

By using the maximum entropy principle with Tsallis entropy and under the assumption that the gouge plays an active role in the triggering of earthquakes, we obtain a functional dependence for energy distribution function for earthquakes…

地球物理 · 物理学 2007-05-23 Oscar Sotolongo-Costa , A. Posadas

In this communication, we introduce a new statistical model and study its various mathematical properties. The expressions for hazard rate, reversed hazard rate, and odd functions are provided. We explore the asymptotic behaviors of the…

统计方法学 · 统计学 2023-04-24 Tuhin Subhra Mahatao , Subhankar Dutta , Suchandan Kayal

We study a constructive algorithm that approximates Gateaux derivatives for statistical functionals by finite differencing, with a focus on functionals that arise in causal inference. We study the case where probability distributions are…

统计方法学 · 统计学 2026-03-16 Michael I. Jordan , Yixin Wang , Angela Zhou

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…

统计理论 · 数学 2016-06-30 Paul Rochet , Isabel Serra

It has been argued persuasively that, in order to evaluate climate models, the probability distributions of model output need to be compared to the corresponding empirical distributions of observed data. Distance measures between…

统计方法学 · 统计学 2013-07-17 Thordis L. Thorarinsdottir , Tilmann Gneiting , Nadine Gissibl

This paper addresses the pattern of damage, and investigates its properties, of a theoretical hail storm which gathers in intensity before subsiding, and which travels linearly across the landscape at constant velocity. We start by assuming…

概率论 · 数学 2013-11-26 Paul C. Kettler , Georg Muntingh

We show how convergence to the Gumbel distribution in an extreme value setting can be understood in an information-theoretic sense. We introduce a new type of score function which behaves well under the maximum operation, and which implies…

统计理论 · 数学 2024-07-22 Oliver Johnson

We consider random labelings of finite graphs conditioned on a small fixed number of peaks. We introduce a continuum framework where a combinatorial graph is associated with a metric graph and edges are identified with intervals. Next we…

概率论 · 数学 2017-08-15 Krzysztof Burdzy , Soumik Pal

A convenient and widely used way to study the turbulent plasma in the solar corona is to do statistics of properties of events (or structures), associated with flares, that can be found in observations or in numerical simulations. Numerous…

天体物理学 · 物理学 2009-11-10 Eric Buchlin , Sebastien Galtier , Marco Velli

Flooding is one of the most disastrous natural hazards, responsible for substantial economic losses. A predictive model for flood-induced financial damages is useful for many applications such as climate change adaptation planning and…

机器学习 · 计算机科学 2022-12-20 Joaquin Salas , Anamitra Saha , Sai Ravela

The study of a machine learning problem is in many ways is difficult to separate from the study of the loss function being used. One avenue of inquiry has been to look at these loss functions in terms of their properties as scoring rules…

机器学习 · 计算机科学 2022-09-02 Zac Cranko , Robert C. Williamson , Richard Nock

We show that the probability distribution function that best fits the distribution of return times between two consecutive visits of a chaotic trajectory to finite size regions in phase space deviates from the exponential statistics by a…

混沌动力学 · 物理学 2015-05-13 Murilo S. Baptista , Dariel M. Maranhao , Jose C. Sartorelli

In this paper we discuss the problem of the estimation of extreme event occurrence probability for data drawn from some multifractal process. We also study the heavy (power-law) tail behavior of probability density function associated with…

统计力学 · 物理学 2009-11-11 Jean-Francois Muzy , Emmanuel Bacry , Alexey Kozhemyak