Stochastic differential equation;
Ito Calculus;
Levy Process;
Ornstein-Uhlenbeck model;
Superposed Ornstein-Uhlenbeck model;
Gaussian process;
Background driving process (BDP);
Diffusion entropy analysis (DEA);
long-range correlations;
detrended fluctuation analysis (DFA);
rescaled range analysis (R/S);
LEVY;
VOLATILITY;
D O I:
暂无
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this work, we determine appropriate background driving processes for the 3-component superposed Ornstein-Uhlenbeck model by analyzing the fractal characteristics of the data sets using the rescaled range analysis (R/S), the detrended fluctuation analysis (DFA), and the diffusion entropy analysis (DEA).
机构:
Univ Bordeaux 1, Inst Math Bordeaux, UMR 5251, F-33405 Talence, France
INRIA Bordeaux Sud Ouest, Team ALEA, F-33405 Talence, FranceUniv Bordeaux 1, Inst Math Bordeaux, UMR 5251, F-33405 Talence, France
Bercu, Bernard
Proia, Frederic
论文数: 0引用数: 0
h-index: 0
机构:
Univ Bordeaux 1, Inst Math Bordeaux, UMR 5251, F-33405 Talence, France
INRIA Bordeaux Sud Ouest, Team ALEA, F-33405 Talence, FranceUniv Bordeaux 1, Inst Math Bordeaux, UMR 5251, F-33405 Talence, France
Proia, Frederic
Savy, Nicolas
论文数: 0引用数: 0
h-index: 0
机构:
Univ Toulouse 3, UMR C5583, Inst Math Toulouse, F-31062 Toulouse 09, FranceUniv Bordeaux 1, Inst Math Bordeaux, UMR 5251, F-33405 Talence, France