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 matrixcompletely describe a time-homogeneous Markov chain.For any time-homogeneous Markov chain Xn, X3 andX1 must beindependent of each other.The transition matrix P for a time-homogeneous Markov chain is a stochasticmatrix.

A Markov chain is a stochastic model defining probability of events which depends on the state…

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.

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.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 49E: Consider the Markov chain whose matrix of transition probabilities P is given in Example 7b. Show...

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Question

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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