Examples of Markov Chains

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter we present various examples of Markov chains. We will often use these examples in the sequel to illustrate the results we will develop. Most of our examples are derived from time series models or Monte Carlo simulation methods. Many time series models belong to the class of random iterative functions that are introduced in Section 2.1. We will establish in this section some properties of these models and in particular will provide conditions under which these models have an invariant probability. In Section 2.2, we introduce the so-called observation-driven models, which have many applications in econometrics in particular.

Original languageEnglish
Title of host publicationSpringer Series in Operations Research and Financial Engineering
PublisherSpringer Nature
Pages27-52
Number of pages26
DOIs
Publication statusPublished - 1 Jan 2018

Publication series

NameSpringer Series in Operations Research and Financial Engineering
ISSN (Print)1431-8598
ISSN (Electronic)2197-1773

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