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I'm fairly new to matlab. Would anybody be able to show me how I would simulate a basic discrete time markov chain?
Say for example I have a transition matrix with 3 states, A, b and C, how could I simulate say 20 steps starting from state A?
A B C A .3 .2. .5 B .2 .1. .7 C .1 . 5 .4
Any help would be greatly appreciated.
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Are you looking to do a simple matrix multiply?
v = [1 0 0] m = [0.3 0.2 0.5; 0.2 0.1 0.7; 0.1 0.5 0.4]
v = v * m
You can also do this in a loop.
If you want to square the matrix element by element
m = m.^2
but more likely you wish to square the matrix
m = m^2
You can do this for higher powers:
m = m^20
And putting it together:
>> v = v*m^20
0.1652 0.3217 0.5130