On asymptotic constants in the theory of extremes for Gaussian processes

From MaRDI portal
Publication:396021

DOI10.3150/13-BEJ534zbMath1298.60043arXiv1206.5840MaRDI QIDQ396021

Mohammad Hasan, H. S. Yoon

Publication date: 8 August 2014

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5840




Related Items (50)

Extremes of a class of nonhomogeneous Gaussian random fieldsExtremes of threshold-dependent Gaussian processesParisian ruin over a finite-time horizonExtremes of 𝛼(𝑡)-locally stationary Gaussian random fieldsParisian ruin of self-similar Gaussian risk processesExtremes of vector-valued Gaussian processes with trendExtremes of Gaussian chaos processes with trendExtremes of \(\alpha(t)\)-locally stationary Gaussian processes with non-constant variancesOn the continuity of Pickands constantsApproximation of Passage Times of γ-Reflected Processes with FBM InputRepresentations of \(\max\)-stable processes via exponential tiltingApproximation of maximum of Gaussian random fieldsExtremes of Lp-norm of vector-valued Gaussian processes with trendApproximation of sojourn times of Gaussian processesExtremes ofγ-reflected Gaussian processes with stationary incrementsExtremes of Gaussian random fields with regularly varying dependence structureEstimation of change-point modelsThe harmonic mean formula for random processesOn the maxima of suprema of dependent Gaussian modelsExtremes and limit theorems for difference of chi-type processesGeneralized Pickands constants and stationary max-stable processesExtreme value theory for a sequence of suprema of a class of Gaussian processes with trendOn Berman functionsOn generalised Piterbarg constantsBounds for expected maxima of Gaussian processes and their discrete approximationsOn the probability of conjunctions of stationary Gaussian processesApproximation of ruin probability and ruin time in discrete Brownian risk modelsExtremes of vector-valued Gaussian processes: exact asymptoticsRuin problem of a two-dimensional fractional Brownian motion risk processExtremes of standard multifractional Brownian motionOn maxima of chi-processes over threshold dependent gridsRemarks on Pickands theoremOn Extremal Index of max-stable stationary processesExtremes of locally stationary chi-square processes with trendOn extremal index of max-stable random fieldsSimultaneous ruin probability for two-dimensional fractional Brownian motion risk process over discrete gridApproximation of supremum of max-stable stationary processes \& Pickands constantsExtremes of nonstationary Gaussian fluid queuesOn the \(\gamma\)-reflected processes with fBm inputTail asymptotics for Shepp-statistics of Brownian motion in \(\mathbb{R}^d \)Drawdown and drawup for fractional Brownian motion with trendUniform tail approximation of homogenous functionals of Gaussian fieldsThe time of ultimate recovery in Gaussian risk modelDerivatives of sup-functionals of fractional Brownian motion evaluated at \(H=\frac{1}{2}\)Piterbarg theorems for chi-processes with trendUnnamed ItemPiterbarg's max-discretization theorem for stationary vector Gaussian processes observed on different gridsPickands’ constant at first order in an expansion around Brownian motionExtremes of order statistics of stationary processesExact simulation of Brown-Resnick random fields at a finite number of locations



Cites Work


This page was built for publication: On asymptotic constants in the theory of extremes for Gaussian processes