scholarly journals Riemann integral of a random function and the parabolic equation with a general stochastic measure

2014 ◽  
Vol 87 ◽  
pp. 185-198
Author(s):  
V. Radchenko
Keyword(s):  
Parabolic Equation ◽  
Random Function ◽  
Riemann Integral ◽  
Stochastic Measure ◽  
General Stochastic

RANDOM FIELDS: NON-ANTICIPATING DERIVATIVE AND DIFFERENTIATION FORMULAS

2007 ◽  
Vol 10 (03) ◽  
pp. 465-481 ◽  
Author(s):  
GIULIA DI NUNNO
Keyword(s):  
Random Fields ◽  
Random Variables ◽  
Space Time ◽  
Explicit Formulas ◽  
Stochastic Measure ◽  
Stochastic Derivative ◽  
Differentiation Formulas ◽  
General Stochastic

The non-anticipating stochastic derivative represents the integrand in the best L2-approximation for random variables by Itô non-anticipating integrals with respect to a general stochastic measure with independent values on a space–time product. In this paper some explicit formulas for this derivative are obtained.

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