Results 41 to 50 of about 1,522,409 (54)

Simultaneous ruin probability for two-dimensional brownian risk model

Journal of Applied Probability, 2020
The ruin probability in the classical Brownian risk model can be explicitly calculated for both finite and infinite time horizon. This is not the case for the simultaneous ruin probability in the two-dimensional Brownian risk model. Relying on asymptotic
K. Dȩbicki, E. Hashorva, Z. Michna
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Sharpness of the phase transition for continuum percolation in R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\math

Probability theory and related fields, 2016
We study the phase transition of random radii Poisson Boolean percolation: Around each point of a planar Poisson point process, we draw a disc of random radius, independently for each point.
Daniel Ahlberg, V. Tassion, A. Teixeira
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All Spatial Random Graphs with Weak Long-Range Effects have Chemical Distance Comparable to Euclidean Distance

Journal of theoretical probability
This note provides a sufficient condition for linear lower bounds on chemical distances (compared to the Euclidean distance) in general spatial random graphs.
Lukas Lüchtrath
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Introduction to Probability Theory

Introduction to Probability Models, 2018
The field of “probability theory” is a branch of mathematics that is concerned with describing the likelihood of different outcomes from uncertain processes.
Tai L. Chow
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Boundary touching probability and nested-path exponent for nonsimple CLE

Annals of Probability
The conformal loop ensemble (CLE) has two phases: for $\kappa \in (8/3, 4]$, the loops are simple and do not touch each other or the boundary; for $\kappa \in (4,8)$, the loops are non-simple and may touch each other and the boundary. For $\kappa\in(4,8)$
Morris Ang, Xin Sun, Pu Yu, Zijie Zhuang
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Probability I

Understanding Probability and Statistics, 2018
Recently, the intelligent transport system (ITS) is pursued vigorously to build a next-generation of a fast and safe transport system. By providing traffic information quickly and accurately, ITS allows drivers to choose the proper driving directions and

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Probability Designs

Probability Designs, 2019
The chapter discusses the assumptions behind the notion of ‘design’ in greater detail. It draws on arguments around intentionality, manuscript genetics, and the extended mind.
Karin Kukkonen
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Foundations of Modern Probability

Probability Theory and Stochastic Modelling, 2021
O. Kallenberg
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Game‐Theoretic Foundations for Probability and Finance

Wiley Series in Probability and Statistics, 2019
G. Shafer, Vladimir Vovk
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The proof of convergence with probability 1 in the method of expansion of iterated Ito stochastic integrals based on generalized multiple Fourier series. arXiv:2006.16040v1 [math.PR], 2020, 29 pp. (Electronic Journal “Differential Equations and Control Processes”, 2020, no. 2, 89–117. Available at: https://diffjournal.spbu.ru/EN/numbers/2020.2/article.1.6.html)

2020
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