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Path integrals and stochastic calculus
Advances in Physics, 2022Thibaut Arnoulx De Pirey +2 more
exaly
On an Identity for Stochastic Integrals
Theory of Probability & Its Applications, 1973openaire +1 more source
Stochastic Integrals and Stochastic Functional Equations
SIAM Journal on Applied Mathematics, 1969openaire +1 more source
2017
Let \(B = (\varOmega,\mathcal{F},(\mathcal{F}_{t})_{t},(B_{t})_{t},\mathrm{P})\) be a (continuous) standard Brownian motion fixed once and for all: the aim of this chapter is to give a meaning to expressions of the form \(\displaystyle{ \int _{0}^{T}X_{ s}(\omega )\,dB_{s}(\omega ) }\) where the integrand (X s )0 ≤ s ≤ T is a process enjoying certain ...
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Let \(B = (\varOmega,\mathcal{F},(\mathcal{F}_{t})_{t},(B_{t})_{t},\mathrm{P})\) be a (continuous) standard Brownian motion fixed once and for all: the aim of this chapter is to give a meaning to expressions of the form \(\displaystyle{ \int _{0}^{T}X_{ s}(\omega )\,dB_{s}(\omega ) }\) where the integrand (X s )0 ≤ s ≤ T is a process enjoying certain ...
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Abstract This chapter has five sections and is concerned with the distribution of the ‘mean deviation’ components of the covariance described in Chapter 4. Section 1 shows how these terms can be rearranged in a useful manner, as the sums of products of an independent process and a moving average process whose weights are particular ...
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Central limit theorems for sequences of multiple stochastic integrals
Annals of Probability, 2005David Nualart, Giovanni Peccati
exaly
Stochastic and Multiple Wiener Integrals for Gaussian Processes
Annals of Probability, 1978Stamatis Cambanis
exaly
Multiple stochastic integrals with Mathematica
Mathematics and Computers in Simulation, 2009Angel Tocino
exaly
Generalized multiple stochastic integrals and the representation of wiener functionals
Stochastics, 1988Nualart David
exaly

