Math Is Fun Forum

oswald

Member

Registered: 2008-02-20

Posts: 3

Markov Transition Matrix

A dynamic interurban of people shows the following Markov Transition Matrix of residents to urban, suburban and rural areas:

__________Urban___Suburban____Rural
Urban ........... a................b...............y
suburban...... o..............q..............z
Rural ............ 1-a-o .........1-b-q ....... 1-y-z

A = 0.9
O = 0.05
B = 0.1
Q = 0.7
Y = 0.1
Z = 0.1

Solve the problem knowing that the vector answer today is
Uo ............ 10
(SUo) = (.... 40)
Ro ............ 50

What vector response to t = 2 vector and what is the answer in the long run. Remember that
Ut
(SUt) = Aλ1 ^ tX1 + Bλ2 ^ tX2 + Cλ3 ^ tX3
Rt

any bibliography suggestion?

oswald

Member

Registered: 2008-02-20

Posts: 3

Re: Markov Transition Matrix

answer
http://www.yaronet.com/posts.php?s=108496