Article,

Comparison of solutions of stochastic equations and applications

, and .
Stochastic Anal. Appl., 18 (2): 211--229 (2000)
DOI: 10.1080/07362990008809665

Abstract

Pathwise comparison of solutions to a class of stochastic systems of differential equations is proved which extends the existing result of Geiand Manthey. When the diffusion coefficients are defferent, the Gal'caronhuk-Davis method is extended to establish the comparision results. We illustrate our results with several examples some of which arise in stochastic finance theory

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