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Consider a stochastic process so that for 0 < p <1, JX₁ with probability p mod3 (X₁ +1) with probability 1-p X₁+1 Argue for why this process is a Markov chain. Draw the transition graph and write down the transition probability matrix. Is the process irreducible? Is the process aperiodic?

Consider a stochastic process so that for 0 < p <1, JX₁ with probability p mod3 (X₁ +1) with probability 1-p X₁+1 Argue for why this process is a Markov chain. Draw the transition graph and write down the transition probability matrix. Is the process irreducible? Is the process aperiodic?

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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Exercise 2. The "modulus 3" function mod3(x) is defined, for non-negative integers as mod3(0) mod3(1) mod3(2) mod3(3) mod3(4) mod3(5) 1. %3D mod3(6) mod3(7) 1. Consider a stochastic process so that for 0 <p< 1, with probability p Х | mod3(X, + 1) with probability 1 – p Argue for why this process is a Markov chain. Draw the transition graph and write doum the transition probability matrir. Is the process irreducible? Is the process aperiodic? 2.
Transcribed Image Text:Exercise 2. The "modulus 3" function mod3(x) is defined, for non-negative integers as mod3(0) mod3(1) mod3(2) mod3(3) mod3(4) mod3(5) 1. %3D mod3(6) mod3(7) 1. Consider a stochastic process so that for 0 <p< 1, with probability p Х | mod3(X, + 1) with probability 1 – p Argue for why this process is a Markov chain. Draw the transition graph and write doum the transition probability matrir. Is the process irreducible? Is the process aperiodic? 2.
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