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IPython Interactive Computing and Visualization Cookbook
book

IPython Interactive Computing and Visualization Cookbook

by Cyrille Rossant
September 2014
Intermediate to advanced
512 pages
12h 39m
English
Packt Publishing
Content preview from IPython Interactive Computing and Visualization Cookbook

Chapter 13. Stochastic Dynamical Systems

In this chapter, we will cover the following topics:

  • Simulating a discrete-time Markov chain
  • Simulating a Poisson process
  • Simulating a Brownian motion
  • Simulating a stochastic differential equation

Introduction

Stochastic dynamical systems are dynamical systems subjected to the effect of noise. The randomness brought by the noise takes into account the variability observed in real-world phenomena. For example, the evolution of a share price typically exhibits long-term behaviors along with faster, smaller-amplitude oscillations, reflecting day-to-day or hour-to-hour variations.

Applications of stochastic systems to data science include methods for statistical inference (such as Markov chain Monte Carlo) and stochastic ...

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Publisher Resources

ISBN: 9781783284818