scholarly journals Semi-Lévy driven continuous-time GARCH process

2020 ◽  
Vol 557 ◽  
pp. 124855
Author(s):  
M. Mohammadi ◽  
S. Rezakhah ◽  
N. Modarresi
2007 ◽  
Vol 44 (04) ◽  
pp. 960-976 ◽  
Author(s):  
Stephan Haug ◽  
Claudia Czado

In this paper we introduce an exponential continuous-time GARCH(p, q) process. It is defined in such a way that it is a continuous-time extension of the discrete-time EGARCH(p, q) process. We investigate stationarity, mixing, and moment properties of the new model. An instantaneous leverage effect can be shown for the exponential continuous-time GARCH(p, p) model.


2007 ◽  
Vol 44 (4) ◽  
pp. 960-976 ◽  
Author(s):  
Stephan Haug ◽  
Claudia Czado

In this paper we introduce an exponential continuous-time GARCH(p, q) process. It is defined in such a way that it is a continuous-time extension of the discrete-time EGARCH(p, q) process. We investigate stationarity, mixing, and moment properties of the new model. An instantaneous leverage effect can be shown for the exponential continuous-time GARCH(p, p) model.


2007 ◽  
Vol 44 (02) ◽  
pp. 285-294 ◽  
Author(s):  
Qihe Tang

We study the tail behavior of discounted aggregate claims in a continuous-time renewal model. For the case of Pareto-type claims, we establish a tail asymptotic formula, which holds uniformly in time.


2018 ◽  
Vol 23 (4) ◽  
pp. 774-799 ◽  
Author(s):  
Charles C. Driver ◽  
Manuel C. Voelkle

IEE Review ◽  
1991 ◽  
Vol 37 (6) ◽  
pp. 228
Author(s):  
Stephen Barnett

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