My Math Forum Markov Chains problem
 User Name Remember Me? Password

 Algebra Pre-Algebra and Basic Algebra Math Forum

 February 14th, 2013, 12:41 AM #1 Newbie   Joined: Feb 2013 Posts: 1 Thanks: 0 Markov Chains problem Suppose a gene in a chromosome is of type A or type B. Assume that the probability that a gene of type A will mutate to type B in one generation is 10^-4 and that the gene of type B will mutate to type A is 10^-6. (i) What is the transition matrix? 99.9999 0.0001 0.000001 99.999999 (ii) After many generations, what is the probability that the gene will be of type A? Of type B? I have to find the stationary matrix. This is the stationary matrix that I got: [1.000000101 -0.100000101] The stationary matrix looks really strange to me because there is one entry (Type A Gene) that has MORE THAN 100% chance of happening. Is this possible?
 February 14th, 2013, 01:02 PM #2 Global Moderator   Joined: May 2007 Posts: 6,805 Thanks: 716 Re: Markov Chains problem Have you checked the eigenvector? It doesn't look right to me. (Check Ax = x).

 Tags chains, markov, problem

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post lakshwee0292 Algebra 0 December 3rd, 2013 12:37 AM jeany lou Linear Algebra 1 August 11th, 2012 09:28 PM aldors Advanced Statistics 1 November 17th, 2009 09:22 AM aptx4869 Advanced Statistics 0 April 30th, 2007 04:57 PM aldors Algebra 0 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.