# Uniform bounds for ruin probability in multidimensional risk model

@article{Kriukov2022UniformBF,
title={Uniform bounds for ruin probability in multidimensional risk model},
author={Nikolai Kriukov},
journal={Statistics \&amp; Probability Letters},
year={2022}
}
• N. Kriukov
• Published 13 May 2022
• Mathematics
• Statistics &amp; Probability Letters

## References

SHOWING 1-7 OF 7 REFERENCES
Finite-time ruin probability for correlated Brownian motions
• Mathematics
Scandinavian Actuarial Journal
• 2020
Let be a two-dimensional Gaussian process with standard Brownian motion marginals and constant correlation . Define the joint survival probability of both supremum functionals by where and u, v are
Asymptotics and Approximations of Ruin Probabilities for Multivariate Risk Processes in a Markovian Environment
• Mathematics
Methodology and Computing in Applied Probability
• 2019
This paper develops asymptotics and approximations for ruin probabilities in a multivariate risk setting. We consider a model in which the individual reserve processes are driven by a common
Pandemic-type failures in multivariate Brownian risk models
• Mathematics
Extremes
• 2022
Modelling of multiple simultaneous failures in insurance, finance and other areas of applied probability is important especially from the point of view of pandemic-type events. A benchmark limiting
Tail asymptotics for Shepp-statistics of Brownian motion in $\mathbb {R}^{d}$
• Mathematics
Extremes
• 2019
Let X(t), $$t\in \mathbb {R}$$, be a d-dimensional vector-valued Brownian motion, d ≥ 1. For all $$\boldsymbol {b}\in \mathbb {R}^{d}\setminus (-\infty ,0]^{d}$$ we derive exact asymptotics of 
On the continuity of Pickands constants
• Mathematics
Journal of Applied Probability
• 2022
Abstract For a non-negative separable random field Z(t), $t\in \mathbb{R}^d$ , satisfying some mild assumptions, we show that \$ H_Z^\delta =\lim_{{T} \to \infty} ({1}/{T^d}) \mathbb{E}\{{\sup_{
Parisian & cumulative Parisian ruin probability for two-dimensional Brownian risk model
Parisian ruin probability in the classical Brownian risk model, unlike the standard ruin probability can not be explicitly calculated even in one-dimensional setup. Resorting on asymptotic theory, we