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- W3022710040 abstract "In this paper we evaluate the conditional Yeh-Wiener integral E(F(x)|x(s,t)=ζ) for functions F of the form F(x)=exp{∫ 0 t ∫ 0 s o(σ,τ,x(σ,τ))dσdτ}. The method we use to evaluate this conditional integral is to first define a sample path-valued conditional Yeh-Wiener integral of the type E(F(x)|x(s,.)=ψ(.)) and show that it satisfies a Wiener integral equation. We next obtain a series solution for E(F(x)|x(s,.)=ψ(.)) by solving this Wiener integral equation. Finally, we integrate this series solution appropriately in order to evaluate E(F(x)|x(s,t)=ζ)" @default.
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- W3022710040 date "1992-06-01" @default.
- W3022710040 modified "2023-09-24" @default.
- W3022710040 title "Sample Path-Valued Conditional Yeh-Wiener Integrals and a Wiener Integral Equation" @default.
- W3022710040 doi "https://doi.org/10.2307/2159271" @default.
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