Numerical approaches to parameter estimates in stochastic differential equations driven by fractional Brownian motion

Pospíšil, Jan

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 208-213

Abstract

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We solve the one-dimensional stochastic heat equation driven by fractional Brownian motion using the modified Euler-Maruyama finite differences method. We use the numerical solution as our observation and we show how to estimate the drift parameter from a one path only.

How to cite

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Pospíšil, Jan. "Numerical approaches to parameter estimates in stochastic differential equations driven by fractional Brownian motion." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2006. 208-213. <http://eudml.org/doc/271354>.

@inProceedings{Pospíšil2006,
abstract = {We solve the one-dimensional stochastic heat equation driven by fractional Brownian motion using the modified Euler-Maruyama finite differences method. We use the numerical solution as our observation and we show how to estimate the drift parameter from a one path only.},
author = {Pospíšil, Jan},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {history of mathematics; Bedřich Pospíšil},
location = {Prague},
pages = {208-213},
publisher = {Institute of Mathematics AS CR},
title = {Numerical approaches to parameter estimates in stochastic differential equations driven by fractional Brownian motion},
url = {http://eudml.org/doc/271354},
year = {2006},
}

TY - CLSWK
AU - Pospíšil, Jan
TI - Numerical approaches to parameter estimates in stochastic differential equations driven by fractional Brownian motion
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2006
CY - Prague
PB - Institute of Mathematics AS CR
SP - 208
EP - 213
AB - We solve the one-dimensional stochastic heat equation driven by fractional Brownian motion using the modified Euler-Maruyama finite differences method. We use the numerical solution as our observation and we show how to estimate the drift parameter from a one path only.
KW - history of mathematics; Bedřich Pospíšil
UR - http://eudml.org/doc/271354
ER -

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