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Strong Local Linear Approximations for Stochastic Differential Equations Driven by Semimartingales
ROLANDO JOSE BISCAY LIRIO
Acceso Abierto
Atribución-NoComercial
Ecuaciones Diferenciales Estocasticas
In previous works, the Local Linearization method has been expanded for the simulation of a speciÖc type of stochastic di§erential equations driven by semimartingales, namely equa- tions with additive noise. The e§ectiveness of the resulting Local Linear approximation was shown by means of simulations, and a strong convergence result was also obtained for such approximation. In this note, the Local Linearization method is extended to a notably wider class of equations, and the resulting Local Linear approximations are proved to be bounded and convergent uniformly on compacts in probability.
Centro de Investigación en Matemáticas AC
08-09-2016
Protocolo de investigación
Inglés
Investigadores
PROCESOS ESTOCÁSTICOS
Versión publicada
publishedVersion - Versión publicada
Aparece en las colecciones: Reportes Técnicos - Probabilidad y Estadística

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