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pro vyhledávání: '"Shigeyoshi Ogawa"'
Autor:
Shigeyoshi Ogawa
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 40:1305-1328
Based around recent lectures given at the prestigious Ritsumeikan conference, the tutorial and expository articles contained in this volume are an essential guide for practitioners and graduates alike who use stochastic calculus in finance.Among the
This volume contains the contributions to a conference that is among the most important meetings in financial mathematics. Serving as a bridge between probabilists in Japan (called the Ito School and known for its highly sophisticated mathematics) an
Autor:
Shigeyoshi Ogawa
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 39:801-814
This book contains 17 articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and Lévy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applicati
Autor:
Shigeyoshi Ogawa
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 40:755-756
Autor:
Shigeyoshi Ogawa
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 37:103-114
We are concerned with a noncausal approach to the numerical evaluation of the stochastic integral $$\int f\ dW_t$$ with respect to Brownian motion. Viewed as a special case of the numerical solution (in strong sense) of the SDE, it may be believed th
Autor:
Hideaki Uemura, Shigeyoshi Ogawa
Publikováno v:
Stochastics. 91:514-527
In this note, we study the reconstruction problem in wide sense of a noncausal function f(t,ω) from its stochastic Fourier coefficients (SFCs in abbr.). We employ Ogawa integral and orthonormal basis of exponential functions {en(t)=exp(2π−1nt)
Autor:
Shigeyoshi Ogawa
Publikováno v:
Sankhya A. 80:267-279
The stochastic Fourier transform, or SFT for short, is an application that transforms a square integrable random function f(t, ω) to a random function defined by the following series; ${\mathcal T}_{\epsilon , \varphi }f(t,\o ):= {\sum }_{n} \epsilo
Autor:
Shigeyoshi Ogawa
Publikováno v:
Sankhya A. 78:304-323
Brownian particle equation, BPE for short, is a class of stochastic partial differential equations of the first order that include the white noise as coefficients, at least in their principal part. This class of SPDEs was introduced by the author as