An operator approach for Markov chain weak approximations with an application to infinite activity Lévy driven SDEs
Tanaka, Hideyuki ; Kohatsu-Higa, Arturo
Ann. Appl. Probab., Tome 19 (2009) no. 1, p. 1026-1062 / Harvested from Project Euclid
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Weak approximations have been developed to calculate the expectation value of functionals of stochastic differential equations, and various numerical discretization schemes (Euler, Milshtein) have been studied by many authors. We present a general framework based on semigroup expansions for the construction of higher-order discretization schemes and analyze its rate of convergence. We also apply it to approximate general Lévy driven stochastic differential equations.
Publié le : 2009-06-15
Classification:  Stochastic differential equations,  jump processes,  weak approximation,  60H35,  60J75,  65C05,  60H10,  65C30,  60J22 
@article{1245071018,
     author = {Tanaka, Hideyuki and Kohatsu-Higa, Arturo},
     title = {An operator approach for Markov chain weak approximations with an application to infinite activity L\'evy driven SDEs},
     journal = {Ann. Appl. Probab.},
     volume = {19},
     number = {1},
     year = {2009},
     pages = { 1026-1062},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1245071018}
}

Tanaka, Hideyuki; Kohatsu-Higa, Arturo. An operator approach for Markov chain weak approximations with an application to infinite activity Lévy driven SDEs. Ann. Appl. Probab., Tome 19 (2009) no. 1, pp.  1026-1062. http://gdmltest.u-ga.fr/item/1245071018/