Consider two different states i and j of a Markov chain. Which of the following choices can NEVER be true? O The long run probability of being in state i is 0. O The probability of going from state i to state i in 2 steps is 1. O The long run probability of being in state i is 1. O The probability of going from state i to state j in exactly 3 steps is strictly less than the first passage probability of going from state i to statej in exactly 3 steps.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 17EQ
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Consider two different states i and j of a Markov chain. Which of the following choices can NEVER be true?
O The long run probability of being in state i is 0.
O The probability of going from state i to state i in 2 steps is 1.
O The long run probability of being in state i is 1.
O The probability of going from state i to state j in exactly 3 steps is strictly less than the first passage probability of going from
state i to statej in exactly 3 steps.
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Transcribed Image Text:Consider two different states i and j of a Markov chain. Which of the following choices can NEVER be true? O The long run probability of being in state i is 0. O The probability of going from state i to state i in 2 steps is 1. O The long run probability of being in state i is 1. O The probability of going from state i to state j in exactly 3 steps is strictly less than the first passage probability of going from state i to statej in exactly 3 steps. « Previous Next Simpfun
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