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» A Piecewise-Deterministic Model for Brownian Motion
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INFOCOM
2010
IEEE
14 years 9 months ago
Sample Path Bounds for Long Memory FBM Traffic
Fractional Brownian motion (fBm) emerged as a useful model for self-similar and long-range dependent Internet traffic. Asymptotic, respectively, approximate performance measures ar...
Amr Rizk, Markus Fidler
COLT
2008
Springer
15 years 1 months ago
Adapting to a Changing Environment: the Brownian Restless Bandits
In the multi-armed bandit (MAB) problem there are k distributions associated with the rewards of playing each of k strategies (slot machine arms). The reward distributions are ini...
Aleksandrs Slivkins, Eli Upfal
SIAMSC
2008
143views more  SIAMSC 2008»
14 years 11 months ago
Numerical Valuation of European and American Options under Kou's Jump-Diffusion Model
Numerical methods are developed for pricing European and American options under Kou's jump-diffusion model which assumes the price of the underlying asset to behave like a ge...
Jari Toivanen
FS
2010
140views more  FS 2010»
14 years 10 months ago
Nonparametric estimation for a stochastic volatility model
Abstract Consider discrete time observations (X δ)1≤ ≤n+1 of the process X satisfying dXt = √ VtdBt, with Vt a one-dimensional positive diffusion process independent of the...
F. Comte, V. Genon-Catalot, Yves Rozenholc
IJON
2006
82views more  IJON 2006»
14 years 11 months ago
Modeling single neuron behavior using stochastic differential equations
We model the intrinsic dynamic behavior of a neuron using stochastic differential equations and Brownian motion. Basis of our work is the deterministic one-compartmental multi-con...
Antti Saarinen, Marja-Leena Linne, Olli Yli-Harja