The purpose of this paper is to prove a characterization of the conditional independence of two independent random Variables given a particular functional of them, in terms of a factorization property. As an application we discuss the Markov field property for solutions of stochastic differential equations with a boundary condition involving the values of the process at times t = 0 and t = 1.

Markov Field Property of Stochastic Differential-equations

FERRANTE, MARCO;
1995

Abstract

The purpose of this paper is to prove a characterization of the conditional independence of two independent random Variables given a particular functional of them, in terms of a factorization property. As an application we discuss the Markov field property for solutions of stochastic differential equations with a boundary condition involving the values of the process at times t = 0 and t = 1.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2495942
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