What is the steady state probability

Assignment Help Basic Statistics

Reference no: EM131216594

Suppose a process can be considered to be in one of two states (let's call them state A and state B), but the next state of the process depends not only on the current state but also on the previous state as well. We can still describe this process using a Markov chain, but we will now need four states. The chain will be in state (X Y) , if the process is currently in state and was previously in state .

(a) Show that the transition probability matrix of such a four-state Markov chain must have zeros in at least half of its entries.

(b) Suppose that the transition probability matrix is given by

Find the steady-state distribution of the Markov chain.

Reference no: EM131216594

Questions Cloud

Compute the probability distribution : Compute the probability distribution of the number of infected but undiscovered people in the population at the time of first discovery of the disease.

Determine markov chain has unique steady state distribution : A certain three-state Markov chain has a transition probability matrix. - Determine if the Markov chain has a unique steady-state distribution or not. If it does, find that distribution.

What are some typical construction site activities : What are some typical construction site activities? What is a subsurface investigation? Why do we perform a subsurface investigation? Define excavation? What is the purpose of excavating?

Calculate the required flow rate of the entering steam : Calculate the required flow rate of the entering steam in m3 /min. (10)4.1.2 Calculate the rate of heat transfer from the water to the methanol (kW). (5)

What is the steady state probability : Show that the transition probability matrix of such a four-state Markov chain must have zeros in at least half of its entries.-

Determine the percentage errors in q : Determine the percentage errors in Q that result from retaining only one and two terms of the heat capacity formula, assuming that the full expression yields the correct result.

Write an essay answering the given question : I want help to write an essay answering question below with 500 words. You should use all the information below and use the same example and architects.

Provide an example of how to use the formula : What explanation would you give so that your staff understands that formula? Provide an example of how to use the formula. Develop a matrix using the formula as part of your example.

What is the average time for a successful transmission : What is the average time for a successful transmission ? Draw a state diagram for this problem.- Draw a state diagram for this problem.

User Account

All Pages