scholarly journals Modeling vehicular speed fluctuations as a stochastic process with exponentially decaying memory

2020 ◽  
Author(s):  
Renante R. Violanda ◽  
Christopher C. Bernido
Keyword(s):  
Stochastic Process ◽  
Vehicular Speed ◽  
Speed Fluctuations

Integrated Fractional white Noise as an Alternative to Multifractional Brownian Motion

2007 ◽  
Vol 44 (02) ◽  
pp. 393-408 ◽  
Author(s):  
Allan Sly
Keyword(s):  
Stochastic Process ◽  
Brownian Motion ◽  
White Noise ◽  
Gaussian Process ◽  
Discrete Data ◽  
Hölder Exponent ◽  
Scaling Properties ◽  
Multifractional Brownian Motion ◽  
Local Properties

Multifractional Brownian motion is a Gaussian process which has changing scaling properties generated by varying the local Hölder exponent. We show that multifractional Brownian motion is very sensitive to changes in the selected Hölder exponent and has extreme changes in magnitude. We suggest an alternative stochastic process, called integrated fractional white noise, which retains the important local properties but avoids the undesirable oscillations in magnitude. We also show how the Hölder exponent can be estimated locally from discrete data in this model.

Matching as a Stochastic Process

2013 ◽  
Author(s):  
Friedel Bolle ◽  
Philipp E. Otto
Keyword(s):  
Stochastic Process
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