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» A Piecewise-Deterministic Model for Brownian Motion
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INFOCOM
2010
IEEE
13 years 5 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
13 years 9 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»
13 years 7 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»
13 years 6 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»
13 years 7 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