ther it is recurrent or transient, (4) list any absorbing state(s), the states, (6) determine whether it is irreducible, (7) determ 011 OLI O 000- 4 HINO O 0 00 2 0 0 0 L40 LIN 0 1 0 1 (b) [0.5 0.5 0.3 0.6 P = 0 0 0 0 0 0 O O O OL 00 0.1 0 1 0 0 0 0 1
ther it is recurrent or transient, (4) list any absorbing state(s), the states, (6) determine whether it is irreducible, (7) determ 011 OLI O 000- 4 HINO O 0 00 2 0 0 0 L40 LIN 0 1 0 1 (b) [0.5 0.5 0.3 0.6 P = 0 0 0 0 0 0 O O O OL 00 0.1 0 1 0 0 0 0 1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:8. For each of the following (one-step) transition matrices of a Markov chain (MC), answer the
following questions. (1) draw the state transition diagram, (2) determine the classes, (3) for each
class determine whether it is recurrent or transient, (4) list any absorbing state(s), (5) determine
the period of each of the states, (6) determine whether it is irreducible, (7) determine whether it
is ergodic.
(a) P =
(b) P
[0
1 0
0 0 1 0
0
0 0 1
[1
го
O O O NIE
000
0
00
O O OLIN
OMITHIN TO O
1 0
0
0
3
4
0 0 0
0
OĐITO
000
OONIE
00
0
0
NITOATA
0
0
(b)
P =
[0.5 0.5 0
0.3
0.6
0.1
0
0
0
0 1
0
0
0
0
0 0
0
0
0
0
1
1 0-
TOO
0
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