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1. (a) Analyse the state space S = {1,2,3,4} for each of the three Markov chains given by the following transition matrices. That is, write down the commu- nication classes and their periods, label each class as essential or not, and as transient or positive recurrent or null recurrent. i. 7/8 1/2 3/8 0 1/8 1/2 5/8 1 ii. 1/4 1/4 1/4 1/4 1/4 0 3/4 1 1/6 0 5/6 iii. 1/3 1/3 1/3 3/4 1/4 1/2 1/2 1/3 1/3 1/3

1. (a) Analyse the state space S = {1,2,3,4} for each of the three Markov chains given by the following transition matrices. That is, write down the commu- nication classes and their periods, label each class as essential or not, and as transient or positive recurrent or null recurrent. i. 7/8 1/2 3/8 0 1/8 1/2 5/8 1 ii. 1/4 1/4 1/4 1/4 1/4 0 3/4 1 1/6 0 5/6 iii. 1/3 1/3 1/3 3/4 1/4 1/2 1/2 1/3 1/3 1/3

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. (a) Analyse the state space S = {1,2,3,4} for each of the three Markov chains given by the following transition matrices. That is, write down the commu- nication classes and their periods, label each class as essential or not, and as transient or positive recurrent or null recurrent. i. 7/8 1/2 0 3/8 1/8 1/2 5/8 1 ii. 1/4 1/4 1/4 1/4 1/4 3/4 1 1/6 5/6 iii. 1/3 1/3 1/3 3/4 1/4 1/2 1/2 1/3 1/3 0 1/3
Transcribed Image Text:1. (a) Analyse the state space S = {1,2,3,4} for each of the three Markov chains given by the following transition matrices. That is, write down the commu- nication classes and their periods, label each class as essential or not, and as transient or positive recurrent or null recurrent. i. 7/8 1/2 0 3/8 1/8 1/2 5/8 1 ii. 1/4 1/4 1/4 1/4 1/4 3/4 1 1/6 5/6 iii. 1/3 1/3 1/3 3/4 1/4 1/2 1/2 1/3 1/3 0 1/3
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