Find steady-state probabilities for each of the markov chain

Assignment Help Advanced Statistics
Reference no: EM13909621

(a) Find the steady-state probabilities for each of the Markov chains in Figure 4.2. Assume that all clockwise probabilities in the first graph are the same, say p, and assume that P4,5 = P4,1 in the second graph.

(b) Find the matrices [P2] for the same chains. Draw the graphs for the Markov chains represented by [P2], i.e., the graph of two step transitions for the original chains. Find the steady-state probabilities for these two-step chains. Explain why your steady-state probabilities are not unique.

(c) Find limn→∞[P2n] for each of the chains.

Text Book: Stochastic Processes: Theory for Applications By Robert G. Gallager.

Reference no: EM13909621

Questions Cloud

An advantage of going public : Which of the following is generally NOT true and an advantage of going public?
Extension population growth : Calculate the PV of an annuity due, given the following information: (Extension Population Growth): If the current population of city X is 1,000,000 citizens, how long would it take for the city to reach 2,000,000 citizens if the growth rate was 5%?
Prepare an algorithm that detects spam email : In this homework, your goal is to devise an algorithm that detects spam email. This homework is quite long but I belive you will find this addictive
Abraham company uses process costing to account : Abraham Company uses process costing to account for its production costs. Direct labor is added evenly throughout the process.
Find steady-state probabilities for each of the markov chain : Find the steady-state probabilities for each of the Markov chains in Figure 4.2. Assume that all clockwise probabilities in the first graph are the same, say p, and assume that P4,5 = P4,1 in the second graph.
Calculate the NPER for an investment : Calculate the NPER for an investment, given the following information: Calculate the FV on an ordinary annuity, given the following information:
Calculate the present value of an investment : Calculate the present value of an investment, given the following characteristics:  Calculate the rate of return on an investment, given the following information: (
What is enterprise value-EBITDA multiple for this company : The market value of the equity of Thompson, Inc., is $780,000. The balance sheet shows $51,200 in cash and $248,100 in debt, while the income statement has EBIT of $109,100 and a total of $180,700 in depreciation and amortization. What is the enterpr..
Show that ? is a right eigenvector with eigenvalue one : Show that ν is a right eigenvector of [P] with eigenvalue 1. Hint: Redraw Figure 4.5 for multiple recurrent classes and first show that ν is an eigenvector of [Pn] in the limit.

Reviews

Write a Review

Advanced Statistics Questions & Answers

  Show that for all sample functions except set of probability

Show that for all sample functions N(t, ω), except a set of probability 0, N(t, ω)/t 2/M for all sufficiently larget. Note: Since M is arbitrary, this means that lim N(t)/t = 0 WP1.

  Impact of fluctuations in currency values

What will happen to this company's sales if the dollar appreciates by 15 percent? What will happen to the company's sales if the dollar depreciates by 10 percent?

  Link between relative frequency and the cumulative frequency

What is the purpose of developing a frequency distribution? What is the relationship between the relative frequency and the cumulative frequency?

  Draw the graph for the modified chain with five states

For the chain on the left side of Figure 4.6, draw the graph for the modified chain with five states where state 1 has been split into two states.

  Determining applied research and statistics

Discuss how this observation should be considered when building a research plan. How might it impact the level of detail you include in your plan?Discuss key issues and concerns arising from the fact tht you, the manager, are also the researcher?

  Probability of the patient having lupus

What is the probability new probability of the patient having lupus - discuss what properties might make a good screening test and what might make a good confirmatory test and why.

  Relationship between speed, flow and geometry

Write a project proposal on relationship between speed, flow and geometry on single carriageway roads.

  Airphone inc manufactures cellular telephones at a

q1. airphone inc. manufactures cellular telephones at a processing cost of 47 per unit.nbsp the company produces an

  Improve model by eliminating certain independent variables

Examine the operating earnings regression model output obtained from the 60 stores, as shown in Table 6.27. Try to improve the model by eliminating certain independent variables or by making any other changes that you think make good sense

  Show one half the expected number of arrivals for process

Show one half the expected number of arrivals for the Poisson process on the same sketch. Explain the difference between the two.

  Advantages and disadvantages of statistical analysis

Why is statistical analysis preferable to visual inspection ("eye-balling") of data when making managerial decisions?

  After tax return on best investment alternative

Abc corporation has $50,000 which it plans to invest in marketable securities. The corporation is choosing between the following 3 equally risky securities.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd