Revision as of 02:33, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Prove that, if a 3-by-3 transition matrix has the property that its ''column'' sums are 1, then <math>(1/3, 1/3, 1/3)</math> is a fixed probability vector. State a similar result for <math>n</math>-by-<math>n</math> transition matrices. Interpr...")
BBy Bot
Jun 09'24
Exercise
[math]
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Prove that, if a 3-by-3 transition matrix has the
property that its column sums are 1, then [math](1/3, 1/3, 1/3)[/math] is a fixed probability vector. State a similar result for [math]n[/math]-by-[math]n[/math] transition matrices. Interpret these results for ergodic chains.