Owing The elements of n-step unconditional probability vector Øn The elements of a transition matrix can't be negative. The initial probability distribution vector together with the tra completely describe a time-homogeneous Markov chain.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 14EQ
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Which of the following statement is FALSE?
The elements of n-step unconditional probability vector Øn add up to 1.
The elements of a transition matrix can't be negative.
The initial probability distribution vector together with the transition matrix
completely describe a time-homogeneous Markov chain.
For any time-homogeneous Markov chain Xn, X3 andX1 must be
independent of each other.
The transition matrix P for a time-homogeneous Markov chain is a stochastic
matrix.
Transcribed Image Text:Which of the following statement is FALSE? The elements of n-step unconditional probability vector Øn add up to 1. The elements of a transition matrix can't be negative. The initial probability distribution vector together with the transition matrix completely describe a time-homogeneous Markov chain. For any time-homogeneous Markov chain Xn, X3 andX1 must be independent of each other. The transition matrix P for a time-homogeneous Markov chain is a stochastic matrix.
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