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On polygonal approximation of brownian motion in stochastic integral
Abstract:For Brownian motion B denote by Bδ its polygonal approximation corresponding to a partition δ of 0,1]. It is proved that if E(f1|Xt|p dt<∞ for some p>2 then converges to in mean as the mesh |Δ|→0 provided the symmetric (Stratonovich) stochastic integral is determined (in the sense given in 4])
Keywords:Two-parameter martingales  quadratic variation  mixed variation  Itô's formula  stochastic integrator  semimartingale
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