Stochastic Analysis of Gaussian Processes via Fredholm Representation
2016 ◽
Vol 2016
◽
pp. 1-15
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Keyword(s):
We show that every separable Gaussian process with integrable variance function admits a Fredholm representation with respect to a Brownian motion. We extend the Fredholm representation to a transfer principle and develop stochastic analysis by using it. We show the convenience of the Fredholm representation by giving applications to equivalence in law, bridges, series expansions, stochastic differential equations, and maximum likelihood estimations.
2021 ◽
Vol 37
(7)
◽
pp. 1156-1170
2019 ◽
Vol 20
(03)
◽
pp. 2050015
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