Question: Show that a n by n doubly stochastic transition matrix has a fixed vector each of whose entries is 1n.

Show that a n by n doubly stochastic transition matrix has a fixed vector each of whose entries is 1∕n.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Elementary Probability For Applications Questions!

Q:

roblem 11-36 (LO. 2, 11) a. Heather wants to invest $40,000 in a relatively safe venture and has discovered two alternatives that would produce the following reportable ordinary income and loss over...

Q:

slides that went with question A management student received fellowship offers from four universities and now must choose which one to accept. The student uses the analytic hierarchy process to...

Q:

Chapter 5 Discrete Markov process Suppose we have a sequence of random variables, {X0 , X1 , . . .} = {Xn } , which is also n=0 called a stochastic process. In this chapter, we study a commonly used...

Q:

Posted first part since code from jord must be used in the second part In Exercise 1, part (1), you have created Jordan Block matrix for the specified values of the parameters n and r using MATLAB...

Q:

The transition matrix in Example 5 has the property that both its rows and its columns all add up to I. In general. a matrix A is said to be doubly stochastic if both A and AT are stochastic. Let A...

Q:

Please answer the section about scaling. I keep getting a recycled answer for just the first part. a EXERCISE 5 (5 points) Difficulty: Hard Theory: A vector with nonnegative entries is called a...

Q:

R=[]; Sl=sum (A) EXERCISE 5 (5 points) Difficulty: Hard Theory: A vector with nonnegative entries is called a probability vector if the sum of its entries is 1. A square matrix is called right...

Q:

1. Basketball. Suppose that against a certain opponent the number of points the MIT basketaball team scores is normally distributed with unknown mean ? and unknown variance, ?2. Suppose that over the...

Q:

1. If the economy is in a decline, which type of current asset financing should be used? a. compromise financing policy, b. flexible financing policy, c. restrictive financing policy, d. maturity...

Q:

Suppose you have bivariate data (x1, y1), . . . ,(xn, yn). A common model is that there is a linear relationship between x and y, so in principle the data should lie exactly along a line. However...

Q:

Please provide compelte solution, show full calculations, explanations and proofs to the following question: Please only answer question 2 only 2. Portfolio optimization with only risky assets:...

Q:

Find the symmetric equations of the line through (2, -4, 5) that is parallel to the plane 3x + y - 2z = 5 and perpendicular to the line y - 5

Q:

Oxygen gas is compressed in a pistoncylinder device from an initial state of 12 ft3/lbm and 75F to a final state of 1.5 ft3/lbm and 525F. Determine the reversible work input and the increase in the...

Q:

The formula for the contribution margin ratio is contribution margin divided by gross profit. contribution margin divided by ( sales less variable costs ) . contribution margin divided by net income....

Q:

Describe a database, a database management system and the relational database model.