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- W1755873818 abstract "This paper considers binomial approximation of continuous time stochastic processes. It is shown that, under some mild integrability conditions, a process can be approximated in mean square sense and in other strong metrics by binomial processes, i.e., by processes with fixed size binary increments at sampling points. Moreover, this approximation can be causal, i.e., at every time it requires only past historical values of the underlying process. In addition, possibility of approximation of solutions of stochastic differential equations by solutions of ordinary equations with binary noise is established. Some consequences for the financial modelling and options pricing models are discussed." @default.
- W1755873818 created "2016-06-24" @default.
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- W1755873818 date "2013-11-04" @default.
- W1755873818 modified "2023-09-27" @default.
- W1755873818 title "On strong binomial approximation for stochastic processes and applications for financial modelling" @default.
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