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Discrete Stochastic Integration
Published 2018-10-01“… We present in this article a game of chance (Saint Petersburg Paradox) and generalize it on a probability space as an example of a previsible (predictable) process, from which we get a discrete stochastic integration (DSI). Then we define a martingale and present it as a good integrator of a discrete stochastic integration , which is called the martingale transform of by such that is a previsible process. …”
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Discrete Stochastic Integration
Published 2018-10-01“… We present in this article a game of chance (Saint Petersburg Paradox) and generalize it on a probability space as an example of a previsible (predictable) process, from which we get a discrete stochastic integration (DSI). Then we define a martingale and present it as a good integrator of a discrete stochastic integration , which is called the martingale transform of by such that is a previsible process. …”
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Stochastic integration and differential equations /
Published 2005Subjects: “…Stochastic integrals…”
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Stochastic integration and generalized martingales /
Published 1977Subjects: “…Stochastic integrals…”
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Spectral representation of stochastic integration operators
Published 2022-01-01“…For given deterministic square-integrable kernels, the spectral characteristic of a stochastic integration operator is determined as an infinite random matrix. …”
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On extended stochastic integrals with respect to Lévy processes
Published 2013-12-01Subjects: Get full text
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Iterated stochastic integrals and random velocity fluctuations
Published 2023-12-01Subjects: “…Stochastic integral…”
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Republished: Dynamics of Stochastic Integrate-and-Fire Networks
Published 2023-12-01Get full text
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RETRACTED: Dynamics of Stochastic Integrate-and-Fire Networks
Published 2022-10-01Get full text
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Convergence to Stochastic Integrals with Non-linear integrands.
Published 2007“…In this paper we present a general result concerning the convergence to stochastic integrals with non-linear integrands. The key finding represents a generalization of Chan and Wei's (1988) Theorem 2.4 and that of Ibragimov and Phillips' (2004) Theorem 8.2. …”
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On estimation of the Hurst index of solutions of stochastic integral equations
Published 2008-12-01“…Let X be a solution of a stochasti Let X be a solution of a stochastic integral equation driven by a fractional Brownian motion BH and let Vn(X, 2) = \sumn k=1(\DeltakX)2, where \DeltakX = X( k+1/n ) - X(k/n ). …”
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