a) To Show: The matrix A = D B [ .80 0 .20 1 ] D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S .

Question

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Answer 1

Question

Chapter 9.3, Problem 25E

To determine

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B

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edo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data:If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is three times as likely to be in the meadows as the woods on the next observation.Assume that state 1 is being in the meadows and that state 2 is being in the woods.(1) Find the transition matrix for this Markov process. (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?

Answer 2

Question

Chapter 9.3, Problem 25E

To determine

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 9.3, Problem 25E

To determine

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9.3, Problem 25E

To determine

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 9.3, Problem 25E

To determine

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B

Answer 6

Chapter 9.3, Problem 25E

To determine

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

Answer 7

Chapter 9.3, Problem 25E

To determine

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

Answer 8

To determine

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B

Answer 9

To determine

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 9.1 - What is a finite stochastic process? What can you...Ch. 9.1 - Prob. 2CQ Ch. 9.1 - Consider a transition matrix T for a Markov chain...Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

a) To Show: The matrix A = D B [ .80 0 .20 1 ] D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S .

Solution Summary: The author explains the absorbing stochastic matrix A=stackrelccD and the submatrices R and S.

Concept explainers

Videos

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B

Want to see the full answer?

Chapter 9 Solutions

a) To Show: The matrix A = D B [ .80 0 .20 1 ] D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S .

Solution Summary: The author explains the absorbing stochastic matrix A=stackrelccD and the submatrices R and S.

Concept explainers

Videos

a) To Show: The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

b) To compute: The steady-state matrix of matrix A=DB[.800.201]D B

Want to see the full answer?

Chapter 9 Solutions

a)

To Show:

The matrix A=D B[.800.201]D B is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

b)

To compute:

The steady-state matrix of matrix A=DB[.800.201]D B