Show that if a transition matrix for a Markov chain is symmetric, that is, if T ij

Question:

Show that if a transition matrix for a Markov chain is symmetric, that is, if T_ij = T_ji for all i and j, then the Markov chain is time-reversible.

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

Step by Step Answer:

Related Book For book-img-for-question

Probability With Applications and R

ISBN: 978-1118241257

1st edition

Authors: Robert P. Dobrow

See More Books

Question Posted: Nov 19, 2018 10:14 AM

See More Questions

A transition matrix P is said to be doubly stochastic if the sum over each column equals 1; that is, If such a chain is irreducible, a periodic, and consists of M + 1 state, show that Pr = 1, for all...
We define a transition matrix to have each entry nonnegative and each column sum to 1. (a) Check that the three transition matrices shown in this Topic meet these two conditions. Must any transition...
A computer is inspected at the end of every hour. It is found to be either working (up) or failed (down). If the computer is found to be up, the probability of its remaining up for the next hour is...
What are the Key Success factors in the Daycare industry? explain
Is a process in control if the corresponding control chart for data having a normal distribution shows a value beyond 3 standard deviations of the mean?
A woman went to the Beneficial Loan Company and borrowed $3000. She must pay $119.67 at the end of each month for the next 30 months. (a) Calculate the nominal annual interest rate she is paying to...
Will I be able to give examples of having taken on some leadership responsibility (even for a project)? LO.1
Lamb Inc. produces calendars in a two-process, two-department operation. In the Printing Department, calendars are printed and cut. In the Assembly Department, the material received from Printingis...
Use the article A Surprising Shakeout Among Banks as Rates Rise - WSJ20171101 to answer the following questions: Question : If the Federal Reserve raises interest rates by 1% at its next meeting...
A bag contains 4 white, 7 black, and 6 green balls. What is the probability that a ball drawn at random from the bag is white or green?
The rows of a Markov chain transition matrix sum to one. A matrix is called doubly stochastic if its columns also sum to one. If a Markov chain has a doubly stochastic transition matrix, show that...
A lone king on a chessboard conducts a random walk by moving to a neighboring square with probability proportional to the number of neighbors. The walk defines a simple random walk on a graph...
How does the work of an operations manager differ from the work of a marketing manager or a finance manager? How are these functions similar?
1. Consider the following economy: C = 3, I = 1.5, G = 2.65, T = 2, f = 0.5, d = 0.1, a = 0.8 a) Write the mathematical expression of the consumption function b) Write the mathematical expression of...
Question 2 (Financial statement Analysis) Following is a comparative statement of financial position for Sam's Company: Sam's Company Comparative Statement of Financial Position December 31, 2020 and...
Q4. Johnny's Burger is a family-run fast food joint. In addition to its famous hamburger, Johnny's Burger has just launched a new "Organic Beef burger. The owner, Johnny, would like to know if his...
Compute ScholarPak's break-even point in sales dollars for the year. 2. Compute the number of sales units required to earn a net income of $540,000 during the year. 3. ScholarPak's variable...
41-44 Find fogoh. 41. f(x)=3x-2, g(x) = sin x, 42. f(x)=|x4|, g(x) = 2, 43. f(x)=x-3, g(x) = x, h(x) = x h(x) = x h(x) = x + 2 44. f(x) = tan x, g(x) == X x-1' h(x) = x
Vipul Patel is a property owner in the Chicago area who wants to sell his house. Zillow, Inc. (Zillow) is an online real estate database company that was founded in 2006 by Rich Barton and Lloyd...
Could a set of three vectors in span all of? Explain. What about n vectors in when n is less than m? R4
Compare your results with those obtained in Problem 8.113 (p. 330)? Microbiology Refer to the data in Table 8.28 (p. 330). Table 8.28 Pod weight (g) from inoculated (I) and uninoculated (U) plantsa
Compare your results in Problems 9.50 and 9.51? Cancer Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer,...
Suppose we want to compare mean BMI between Caucasian and African American premenopausal women based on the data in the table and are willing to assume the distribution of BMI is approximately...
To fund your dream around-the-world vacation, you plan to save $1,300 per year for the next 14 years starting one year from now. If you can earn an interest rate of 5.83 percent, how much will you...
On NSE (Indian stock exchange), shares of ICICI Bank trade for 935 rupees. If the spot exchange rate is USD 0.012, what is the no-arbitrage USD price of ICICI Bank ADR? Assume that transactions costs...
Income Statement Balance Sheet Balance Sheet Additional Financial Information 1. Market price of Ranfield's common stock: $90.44 at December 31, 2024, and $58.35 at December 31, 2023. 2. Common...

Show that if a transition matrix for a Markov chain is symmetric, that is, if T ij

Question:

Step by Step Answer:

By the previous exercises t...View the full answer

Probability With Applications and R

Students also viewed these Mathematics questions