activity
20142025
most citedOn the structure of a class of distributions obeying the principle of a single big jump

7 citations · 9 across the 9 of their papers we have counts for

collaborators

9 papers

math.PR2025

On the random-time and finite-time ruin probability for widely dependent claim sizes and inter-arrival times

Yang Chen, Zhaolei Cui, Yuebao Wang

Using the results of precise large deviation and renewal theory for widely dependent random variables, this paper obtains the asymptotic estimation of the random-time ruin probabil…

math.PR2024

A Breiman's theorem for conditional dependent random vector and its applications to risk theory

Zhaolei Cui, Yuebao Wang

In this paper, we give a Breiman's theorem for conditional dependent random vector, where one component has a regularly-varying-tailed distribution with the index and its s…

math.PR2023

Precise large deviations of some risk objectives related to the net loss process in two nonstandard risk models

Yang Chen, Zhaolei Cui, Yuebao Wang

For two nonstandard renewal risk models, we investigate the precise large deviations of the finite-time ruin probability and a random sum of the net-loss process, and the asymptoti…

math.PR2021

Precise large deviations of sums of widely dependent random variables and its applications

Zhaolei Cui, Yuebao Wang

In this paper, we obtain some results on precise large deviations for non-random and random sums of widely dependent random variables with common dominatedly varying tail distribut…

math.PR2019

On the long tail property of product convolution

Zhaolei Cui, Guancheng Jiang, Yuebao Wang

Let and be two independent random variables with corresponding distributions and supported on . The distribution of the product , which is called th…

math.PR2018

On the almost decrease of a subexponential density

Tao Jiang, Yuebao Wang, Zhaolei Cui

For a subexponential density, so far, there has been no positive conclusion or counter example to show whether it is almost decreasing. In this paper, a subexponential density supp…

math.PR2017

Asymptotics of convolution with the semi-regular-variation tail and its application to risk

Zhaolei Cui, Edward Omey, Wenyuan Wang +1

In this paper, according to a certain criterion, we divide the exponential distribution class into three subclasses. One of them is closely related to the regular-variation-tailed…

math.PR2016★ 2 cited

Some positive conclusions related to the Embrechts-Goldie' conjecture

Yuebao Wang, Zhaolei Cui, Hui Xu

In this paper, we give some conditions, under which, if an infinitely divisible distribution supported on belongs to the intersection of exponential distribution class…

math.PR2014★ 7 cited

On the structure of a class of distributions obeying the principle of a single big jump

Hui Xu, Michael Scheutzow, Yuebao Wang +1

In this paper, we present several heavy-tailed distributions belonging to the new class J of distributions obeying the principle of a single big jump introduced by Beck et al. [1].…