Stochastic integrals for gaussian random functions
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in Stochastics
- Vol. 3 (1-4) , 277-289
- https://doi.org/10.1080/17442508008833151
Abstract
A construction of stochastic integrals Jl,, f dX is given where Fand X are random processes. Conditions of martingale type for X and nonanticipating of f with respect to X are not assumed. We suppose that f;, X are Gaussian processes, all other conditions are expressed in terms of the covariance functions off and X.Keywords
This publication has 4 references indexed in Scilit:
- Stochastic and Multiple Wiener Integrals for Gaussian ProcessesThe Annals of Probability, 1978
- Stochastic integral of $L_{2}$-functions with respect to Gaussian processesTohoku Mathematical Journal, 1975
- A Statistical Integral for a Gaussian ProcessTheory of Probability and Its Applications, 1969
- A strong limit theorem for Gaussian processesProceedings of the American Mathematical Society, 1956