activity
20162022
most citedApproximation of Sojourn Times of Gaussian Processes

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.PR2022

On the maxima of suprema of dependent Gaussian models

Lanpeng Ji, Xiaofan Peng

In this paper, we study the asymptotic distribution of the maxima of suprema of dependent Gaussian processes with trend. For different scales of the time horizon we obtain differen…

math.PR2022

Extreme value theory for a sequence of suprema of a class of Gaussian processes with trend

Lanpeng Ji, Xiaofan Peng

We investigate extreme value theory of a class of random sequences defined by the all-time suprema of aggregated self-similar Gaussian processes with trend. This study is motivated…

math.PR2020

Extrema of multi-dimensional Gaussian processes over random intervals

Lanpeng Ji, Xiaofan Peng

This paper studies the joint tail asymptotics of extrema of the multi-dimensional Gaussian process over random intervals defined as $$ P(u):=\mathbb{P}\left\{\cap_{i=1}^n \left(\su…

math.PR2020★ 1 cited

Sojourns of Stationary Gaussian Processes over a Random Interval

Krzysztof Dȩbicki, Xiaofan Peng

We investigate asymptotics of the tail distribution of sojourn time as , where is a centered stationary Gaussian process and $…

math.PR2017★ 1 cited

Approximation of Sojourn Times of Gaussian Processes

Krzysztof Dȩbicki, Enkelejd Hashorva, Xiaofan Peng +1

We investigate the tail asymptotic behavior of the sojourn time for a large class of centered Gaussian processes , in both continuous- and discrete-time framework. All results o…

math.PR2016

Parisian Ruin Probability Of An Integrated Gaussian Risk Model

Xiaofan Peng, Li Luo

In this paper we investigate the Parisian ruin probability for an integrated Gaussian process. Under certain assumptions, we find the Parisian ruin probability and the classical ru…