Question

Give an example of a markov chain with 2 states that is not regular.Clearly exaplin your answer.

Answer #1

1.Look for a case example for the Markov Chain with a
minimum set of 3 states.
a. Classify the state
b. Determine the period of each state
c. If there is a state absorbing, determine the chance of being
absorbed in the state if it starts from another state.
d. determine P^10

You have a Markov Chain with two states with transition
probabilities pij ,for which values of pij do
we obtain an absorbing Markov Chain?

Given the probability transition matrix of a Markov chain
X(n)
with states 1, 2 and 3:
X =
[{0.2,0.4,0.4},
{0.3,0.3,0.4},
{0.2,0.6,0.2}]
find P(X(10)=2|X(9)=3).

asasap Consider the Markov chain with state space {1, 2, 3} and
transition matrix 1 2 1 4 1 4 0 1 0 1 4 0 3 4 Find the
periodicity of the states.
\ Let {Xn|n ≥ 0} be a finite state Markov chain. prove or
disprove that all states are positive recurren

Let the markov chain consisting of states 0,1,2,3 have
the transition probability matrix
P = [0,0,1/2,1/2; 1,0,0,0; 0,1,0,0; 0,1,0,0]
Determine which state are recurrent and which are transient

A network is modeled by a Markov chain with three states
fA;B;Cg. States A, B, C denote low,
medium and high utilization respectively. From state A, the system
may stay at state A with
probability 0.4, or go to state B with probability 0.6, in the next
time slot. From state B, it may
go to state C with probability 0.6, or stay at state B with
probability 0.4, in the next time slot.
From state C, it may go...

The transition probability matrix of a Markov chain {Xn }, n =
1,2,3……. having 3
states 1, 2, 3 is P =
0.1 0.5 0.4
0.6 0.2 0.2
0.3 0.4 0.3
* and the initial distribution is P(0) = (0.7, 0.2,0.1)
Find:
i. P { X3 =2, X2 =3, X1 = 3, X0 = 2}
ii. P { X3 =3, X2 =1, X1 = 2, X0 = 1}
iii. P{X2 = 3}

A Markov chain X0, X1, ... on states 0, 1,
2 has the transition probability matrix
P = {0.1 0.2 0.7
0.9 0.1 0
0.1 0.8 0.1}
and initial distribution p0 = Pr{X0 = 0} =
0.3, p1 = Pr{X0 = 1} = 0.4, and p2
= Pr{X0 = 2} = 0.3. Determine
Pr{X0 = 0, X1 = 1, X2 = 2}.
Please tell me what it means of the initial distribution why
initial distribution p0 = Pr{X0...

Consider a Markov chain {Xn; n = 0, 1, 2, . . . } on S = N = {0,
1, 2, . . . } with transition probabilities P(x, 0) = 1/2 , P(x, x
+ 1) = 1/2 ∀x ∈ S, .
(a) Show that the chain is irreducible.
(b) Find P0(T0 = n) for each n = 1, 2, . . . .
(c) Use part (b) to show that state 0 is recurrent; i.e., ρ00 =...

urgent
Consider the Markov chain with state space {0, 1, 2, 3, 4} and
transition probability matrix (pij ) given 2 3 1 3 0 0 0 1
3 2 3 0 0 0 0 1 4 1 4 1 4 1 4 0 0 1 2 1 2 0 0 0 0 0 1 Find
all the closed communicating classes
Consider the Markov chain with state space {1, 2, 3} and
transition matrix ...

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