42 (a) Show that Approximation 1 of Section 6 8 is equivalent to uniformizing the continuous time Markov chain with a value such that vt and then approximating Py t) by P jn (b) Explain why the preceding should make a good approximation Hint What is the standard deviation of a Poisson random varia...

The Answer is in the image, click to view ...

*42. (a) Show that Approximation 1 of Section 6.8 is equivalent to uniformizing the continuous-time Markov chain...

Question:

*42.

(a) Show that Approximation 1 of Section 6.8 is equivalent to uniformizing the continuous-time Markov chain with a value õ such that vt = ç and then approximating Py{t) by P-jn.

(b) Explain why the preceding should make a good approximation.

Hint: What is the standard deviation of a Poisson random variable with mean nl

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Probability Models

ISBN: 9780125984553

5th Edition

Authors: Sheldon M. Ross

See More Books

Question Posted: Aug 31, 2024 12:00 PM

See More Questions

Ginter Co. holds Kolar Inc.s $10,000, 120-day, 9% note. The entry made by Ginter Co. when the note is collected, assuming no interest has been previously accrued, is: (a) Cash Notes Receivable (b)...
What is Apoptosis? Define extrinsic and intrinsic apoptotic pathways with the role of death receptor and mitochondria. Describe the role of either mitochondria (caspases) or Bcl-2 group proteins in...
A company retired a long-term note payable by issuing, at par, shares of common stock. How is this event analyzed on the statement of cash flows working paper?
What does (a) ????2 measure? (b) ???????????? measure? (c) ???????????????????? measure? (d) the coefficient of determination measure?
McWherter Instruments sold $400 million of 8% bonds, dated January 1, on January 1, 2011. The bonds mature on December 31, 2030 (20 years). For bonds of similar risk and maturity, the market yield...
Tartu For the Quarter Ended June 30 Materials used in production (including $61,200 of indirect materials) $661,400 612,400 Direct labor (including $91,900 maintenance salaries) Factory overhead:...
1. Is it true that (a) N(t) < if and only if Sn > /? (b) N(t) < if and only if Sn > tl (c) N(t) > if and only if Sn < tl
4 1 . Let Y denote an exponential random variable with rate that is independent of the continuous-time Markov chain [X(t)} and let Pu = PiX(Y)=j\X(0) = i} (a) Show that where is 1 when / = j and 0...
When a company that sells its products with a positive gross profit increases its sales by 15 percent and its cost of goods sold by 7 percent, the cost of goods sold ratio will a. Increase. b....
Problem 1 (20 points). In a warehouse, it is required to locate a temporary storage area for 5 shelves operations that are located in the following coordinates (1, 4), (1, 8), (1, 12), (4, 4) and (4,...
Game Z Ltd has 3 sources of capitals - Common shares, Preferred shares and corporate bonds. The market value of its common shares is $50 per share while its Preferred shares are valued at $45 per...
Multi-step Income Statements The adjusted trial balance of Mally Distributors on December 31 is shown below. MOLLY DISTRIBUTORS Adjusted Trial Balance December 31 Debit Credit $30,200 Cash Accounts...
48 Assume that the actual amount of one of a company's variable expenses was $45,198. The company's planned level of activity was 19,000 machine-hours, and its actual level of activity was 18,500...
According to corporate policy, the average age of trade receivables and trade payables should both be 10 days and 20 days, respectively. At 30th June 2022, the Exeter hotel had trade receivables of...
The hydrogenlike wave functions 2p1, 2p0, and 2p-1 can be characterized as those 2p functions that are eigenfunctions of Lz. What operators can we use to characterize the functions 2px, 2py, and 2pz,...
Calculate the electrical conductivity of a fiber-reinforced polyethylene part that is reinforced with 20 vol % of continuous, aligned nickel fibers.
Teams 1 and 2 are playing a match. The teams score points according to independent Poisson processes with respective rates 1 and 2. If the match ends when one of the teams has scored k more points...
Customers arrive at the automatic teller machine in accordance with a Poisson process with rate 12 per hour. The amount of money withdrawn on each transaction is a random variable with mean $30 and...
Determine Cov(X(t ),X(t +s)) when {X(t), t 0} is a compound Poisson process.
On the basis of the following data, determine the value of the inventory at the lower of cost or market. Apply lower of cost or market to each inventory dem. Item Inventory Quantity Cost per Market...
4. Which of the following statements is correct regarding the formation of a unilateral contract? a. A unilateral contract may be formed without consideration. b. A unilateral contract does not...
Savannah Textiles Company manufactures a variety of natural fabrics for the clothing industry. The following data pertain to the Weaving Department for the month of September. Equivalent units of...

*42. (a) Show that Approximation 1 of Section 6.8 is equivalent to uniformizing the continuous-time Markov chain...

Question:

Step by Step Answer:

Introduction To Probability Models

Students also viewed these Business questions