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R. Norvaiša (2001)
Quadratic variation, p-variation and integration with applications to stock price modellingarXiv: Classical Analysis and ODEs
J. Jacod, J. Mémin (1981)
Sur un type de convergence intermédiaire entre la convergence en loi et la convergence en probabilité, 15
K. Kubilius (2003)
On Weak and Strong Solutions of an Integral Equation Driven by a Continuous p-SemimartingaleLithuanian Mathematical Journal, 43
K. Kubilius (2002)
ON THE ASYMPTOTIC BEHAVIOR OF AN APPROXIMATION OF SIES DRIVEN BY P‐SEMIMARTINGALESMathematical Modelling and Analysis, 7
R. Dudley, R. Norvaiša (1999)
Product integrals, young integrals and p-variation
J. Jacod, J. Mémin (1981)
Sur un Type de Convergence Intermediate Entre la Convergence en Loi et la Convergence en Probabilité, Séminaire Proba. XV
J. Jacod, J. Mémin (1981)
Weak and strong solutions of stochastic differential equations: Existence and stability
K. Kubilius (1999)
An approximation of a nonlinear integral equation driven by a function of boundedp-variationLithuanian Mathematical Journal, 39
J. Pellaumail (1981)
Weak Solutions for Semi-MartingalesCanadian Journal of Mathematics, 33
J. Jacod, J. Mémin (1981)
Existence of weak solutions for stochastic differential equations with driving semimartingalesStochastics An International Journal of Probability and Stochastic Processes, 4
We obtain conditions under which a Stratonovich integral equation driven by a continuous p-semimartingale has a weak solution and a unique strong solution-measure. Generalization of the Wong–Zakai theorem and the convergence rate of the corresponding approximation are given.
Acta Applicandae Mathematicae – Springer Journals
Published: Mar 23, 2007
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