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Markov Chains by Richard Weber is a nonfiction available to read on EtoBox.

What is Markov Chains about?

Table of Contents Schedules Definitions, basic properties, the transition matrix An example and some interesting questions Definitions Where do Markov chains come from? How can we simulate them? The n-step transition matrix P(n) for a two-state Markov chain Calculation of n-step transition probabilities, class structure, absorption, and irreducibility Example: a three-state Markov chain Example: use of symmetry Markov property Class structure Closed classes Irreducibility Hitting probabilities and mean hitting times Absorption probabilities and mean hitting times Calculation of hitting probabilities and mean hitting times Absorption probabilities are minimal solutions to RHEs Gambler's ruin Survival probability for birth and death chains, stopping times and strong Markov property Survival probability for birth death chains Mean hitting times are minimal solutions to RHEs Stopping times Strong Markov property Recurrence and transience Recurrence and transience Equivalence of recurrence and certainty of return Equivalence of transience and summability of n-step transition probabilities Recurrence as a class property Relation with closed classes Random walks in dimensions one, two and

Who reads Markov Chains?

Author

Richard Weber

Publisher

The Archimedeans: The Cambridge University Mathematical Society

Language

EN

Category

nonfiction

Subjects

Mathematics, Stem