Consider a Markov chain with two possible states, S = {0, 1}. In particular, suppose that the transition matrix is given by Show that pn p = = [1-x 1B] 1 +B/5²² x + (1-x-B)¹ x x +ß -X [ ] В

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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Consider a Markov chain with two possible states, S = {0, 1}. In particular, suppose
that the transition matrix is given by
Show that
pn =
1
P
=
[¹3
В
-x
[/³² x] +
B
x +B[B x]
x
1- B]
(1-x-B)¹
x +B
x
-|-
-B
·X₁
В
Transcribed Image Text:Consider a Markov chain with two possible states, S = {0, 1}. In particular, suppose that the transition matrix is given by Show that pn = 1 P = [¹3 В -x [/³² x] + B x +B[B x] x 1- B] (1-x-B)¹ x +B x -|- -B ·X₁ В
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