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IPython Interactive Computing and Visualization Cookbook - Second Edition
book

IPython Interactive Computing and Visualization Cookbook - Second Edition

by Cyrille Rossant
January 2018
Beginner to intermediate
548 pages
12h 11m
English
Packt Publishing
Content preview from IPython Interactive Computing and Visualization Cookbook - Second Edition

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: 9781785888632