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Degradation Modeling and RUL Prediction of Hot Rolling Work Rolls Based on Improved Wiener Process. [PDF]
Materials (Basel)Yan X, Zhou S, Zhang H, Yi C.
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Investigating the impact of stochasticity on HIV infection dynamics in CD4 + T cells using a reaction-diffusion model. [PDF]
Sci RepAhmed N +7 more
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1981
Here we discuss the original Wiener–Ito integrals with respect to a random orthogonal measure. We give their most important properties and also present some results about their relation to the Wiener–Ito integrals with respect to a random spectral measure and to the classical Ito integrals of stochastic processes.
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Here we discuss the original Wiener–Ito integrals with respect to a random orthogonal measure. We give their most important properties and also present some results about their relation to the Wiener–Ito integrals with respect to a random spectral measure and to the classical Ito integrals of stochastic processes.
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Russian Mathematical Surveys, 1963
CONTENTSIntroduction ??1. Definition of the Wiener integral ??2. Change of variables in Wiener integrals ??3. Differential equations and the Wiener integral ??4. The Wiener integral and integral equations ??5. The Fourier-Wiener transform ??6. The indefinite Wiener integral ??7. Approximate evaluation of continuous integrals ??8.
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CONTENTSIntroduction ??1. Definition of the Wiener integral ??2. Change of variables in Wiener integrals ??3. Differential equations and the Wiener integral ??4. The Wiener integral and integral equations ??5. The Fourier-Wiener transform ??6. The indefinite Wiener integral ??7. Approximate evaluation of continuous integrals ??8.
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Wiener-Itô integrals and Wiener chaos
2011We will now introduce the notion of a completely random measure on a Polish space (Z, Z), as well as those of a stochastic measure of order n ≥ 2, a diagonal measure and a multiple (stochastic) Wiener-Ito integral. All these concepts can be unified by means of the formalism introduced in Chapters 2–4.
Giovanni Peccati, Murad S. Taqqu
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INDEPENDENCE OF DOUBLE WIENER INTEGRALS
Econometric Theory, 2001In this paper a necessary and sufficient condition is obtained for two double Wiener integrals to be statistically independent, first in the case of symmetric and continuous kernels. It is also shown that, for more than two double Wiener integrals, pairwise independence implies mutual independence.
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Wiener-Hopf Integral Operators
1990In this chapter we deal with integral operators of the following type: Open image in new ...
Israel Gohberg +2 more
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Approximation of Wiener integrals
Journal of Computational Physics, 1987The author presents a simple derivation of \textit{A. J. Chorin}'s quadrature formula for the Wiener integral [Math. Comput. 27, 1-15 (1973; Zbl 0256.65013)]. A numerical example is given.
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Approximation of a conditional wiener integral
Journal of Computational Physics, 1968Abstract An approximation for conditional Wiener integrals, similar to Cameron's “Simpson's Rule” for unconditional Wiener integrals, is developed. An alternate derivation of Konheim and Miranker's prescription for the development of higher-order formulas is presented.
Fosdick, L. D., Jordan, H. F.
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