Chapter
13
Probability
SUMMARY POINTs
� Markov Chain with transition matrix T : 1 . det ( T��I ) : Characteristic polynomial of T 2 . Solution ( s ) of det ( T��I ) �0
: Eigenvalue ( s ) of T 3 . v : Steady state probability vector , which is the eigenvector of T corresponding to the eigenvalue � � 1 4 . v
0
: Initial state probability vector 5 . v � n n
T v
0
: State probability vector after n transitions 6 . The column sum of T must be equal to 1
Solutions of Chapter 13
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