Introduction to Stochastic Processes I

A stochastic process is a set of random variables indexed by time or space. Stochastic modelling is an interesting and challenging area of probability and statistics that is widely used in the applied sciences. In this course you will gain the theoretical knowledge and practical skills necessary for the analysis of stochastic systems. You will study the basic concepts of the theory of stochastic processes and explore different types of stochastic processes including Markov chains, Poisson processes and birth-and-death processes.

Topics Include

  • Discrete and continuous time Markov chains
  • First step analysis: gambler’s ruin and successful runs
  • Branching processes
  • Poisson processes
  • Birth-and-death processes
  • Long run behavior

You Will Learn

  • The standard concepts and methods of stochastic modeling
  • How to choose the best stochastic process for specific situations
  • How to apply stochastic analysis to realistic problems

Course Page
Price
$4,056.00 Subject to change
Delivery
Online, instructor-led
Level
Introductory
Commitment
10 weeks, 5-15 hrs/week
Credit
Statistics Graduate Certificate
School
Stanford School of Humanities and Sciences
Language
English