activity
20142026
most citedOn the structure of a class of distributions obeying the principle of a single big jump

7 citations · 17 across the 17 of their papers we have counts for

collaborators

17 papers

math.PR2026

Asymptotics of randomly weighted sums without moment conditions of random weights

Qingwu Gao, Dimitrios G. Konstantinides, Charalampos D. Passalidis +2

In the paper, we investigate the asymptotics of randomly weighted sums with upper tail asymptotically independent and quasi-upper tail asymptotically independent primary random var…

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.OC2018★ 5 cited

Dividend and Capital Injection Optimization with Transaction Cost for Spectrally Negative Lévy Risk Processes

Wenyuan Wang, Yuebao Wang, Xueyuan Wu

For an insurance company with reserve modeled by the spectrally negative Lévy process, we study the optimal impulse dividend maximizing the expected accumulated net dividend paymen…

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.PR2017

The uniform local asymptotics of the total net loss process in a new time-dependent bidimensional renewal model

Tao Jiang, Yuebao Wang, Hui Xu

In this paper, we consider a bidimensional renewal risk model with constant force of interest, in which the claim size vector with certain local subexponential marginal distributio…

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.PR2016

A necessary and sufficient condition for the subexponentiality of product distribution

Hui Xu, Fengyang Cheng, Yuebao Wang +1

Let X and Y be two independent and nonnegative random variables with corresponding distributions F and G. Denote by H the distribution of the product XY , called the product convol…

math.PR2015★ 3 cited

On closedness under convolution roots related to an infinitely divisible distribution in the distribution class L(γ)

Hui Xu, Yuebao Wang, Dongya Cheng +1

We consider questions related to the well-known conjecture due to Embrechts and Goldie on the closedness of different classes of heavy- and light-tailed distributions with respect…

math.PR2015

Convolution and convolution-root properties of long-tailed distributions

Hui Xu, Sergey Foss, Yuebao Wang

We obtain a number of new general properties, related to the closedness of the class of long-tailed distributions under convolutions, that are of interest themselves and may be app…

math.PR2014

On a transformation between distributions obeying the principle of a single big jump

Hui Xu, Michael Scheutzow, Yuebao Wang

Beck et al. (2013) introduced a new distribution class J which contains many heavy-tailed and light-tailed distributions obeying the principle of a single big jump. Using a simple…

math.PR2014

The local asymptotic estimation for the supremum of a random walk with generalized strong subexponential summands

Yuebao Wang, Hui Xu, Dongya Cheng +1

In this paper, the local asymptotic estimation for the supremum of a random walk and its applications are presented. The summands of the random walk have common long-tailed and gen…

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].…