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[4] a) Suppose that the transition matrix is P = Is there a stationary distribution for this model. Remember you would like to find '= [a b] such that ' = 'P. In this case, it matters where the system is initialized. To see this, try out these two initial state vectors: = [1/2 1/2] and = [1/3 2/3].

[4] a) Suppose that the transition matrix is P = Is there a stationary distribution for this model. Remember you would like to find '= [a b] such that ' = 'P. In this case, it matters where the system is initialized. To see this, try out these two initial state vectors: = [1/2 1/2] and = [1/3 2/3].

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Show full answers and steps to part a) & b) of this exercise. Please explain how you get to the answers without using stata, R or excel
[4] a) Suppose that the transition matrix is -R P = Is there a stationary distribution for this model. Remember you would like to find π = [a b] such that ' = π'P. In this case, it matters where the system is initialized. To see this, try out these two initial state vectors: T = [1/2 1/2] and T = [1/3 2/3]. b) Suppose that the transition matrix is P = 01 0 001 1 0 0 Represent this transition matrix with a transition diagram similar to the one in the previous exercise and also discuss whether it has a stationary distribution and it is globally stable. Again try out different initial state vectors to see whether there arise any patterns.
Transcribed Image Text:[4] a) Suppose that the transition matrix is -R P = Is there a stationary distribution for this model. Remember you would like to find π = [a b] such that ' = π'P. In this case, it matters where the system is initialized. To see this, try out these two initial state vectors: T = [1/2 1/2] and T = [1/3 2/3]. b) Suppose that the transition matrix is P = 01 0 001 1 0 0 Represent this transition matrix with a transition diagram similar to the one in the previous exercise and also discuss whether it has a stationary distribution and it is globally stable. Again try out different initial state vectors to see whether there arise any patterns.
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