Title
Limit Theorems For A Cox-Ingersoll-Ross Process With Hawkes Jumps
Abstract
In this paper we propose a stochastic process, which is a Cox-Ingersoll-Ross process with Hawkes jumps. It can be seen as a generalization of the classical Cox-Ingersoll-Ross process and the classical Hawkes process with exponential exciting function. Our model is a special case of the affine point processes. We obtain Laplace transforms and limit theorems, including the law of large numbers, central limit theorems, and large deviations.
Year
Venue
Keywords
2014
JOURNAL OF APPLIED PROBABILITY
Cox-Ingersoll-Ross process, point process, Hawkes process, self-exciting process, central limit theorem, large deviations
Field
DocType
Volume
Central limit theorem,Exponential function,Laplace transform,Point process,Law of large numbers,Stochastic process,Large deviations theory,Statistics,Cox–Ingersoll–Ross model,Mathematics
Journal
51
Issue
ISSN
Citations 
3
0021-9002
2
PageRank 
References 
Authors
0.39
2
1
Name
Order
Citations
PageRank
Lingjiong Zhu1197.41