Which of the following is/are true for a Markov chain Xk+1 Axk, k = 0, 1,2, ..., where A is an n x n stochastic matrix? (Select all that apply) ✔The sum of each row of A is 1. If A is regular, then A has a unique probability vector that is an eigenvector corresponding to eigenvalue 1. If A is regular, then Ak p approaches the same probability vector for any probability vector p as k approaches infinity. If p is any probability vector, then Ap is a probability vector. If A is regular, then A has 1 as an eigenvalue.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Which of the following is/are true for a Markov chain
Xk+1 =
(Select all that apply)
Axk, k = 0, 1, 2, · · ·, where A is an n x n stochastic matrix?
✔The sum of each row of A is 1.
If A is regular, then A has a unique probability vector that is an eigenvector
corresponding to eigenvalue 1.
If A is regular, then Akp approaches the same probability vector for any probability
vector p as k approaches infinity.
If p is any probability vector, then Ap is a probability vector.
If A is regular, then A has 1 as an eigenvalue.
Transcribed Image Text:Which of the following is/are true for a Markov chain Xk+1 = (Select all that apply) Axk, k = 0, 1, 2, · · ·, where A is an n x n stochastic matrix? ✔The sum of each row of A is 1. If A is regular, then A has a unique probability vector that is an eigenvector corresponding to eigenvalue 1. If A is regular, then Akp approaches the same probability vector for any probability vector p as k approaches infinity. If p is any probability vector, then Ap is a probability vector. If A is regular, then A has 1 as an eigenvalue.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 47 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman