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(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> If <math>\mat{P}</math> is a reversible Markov chain, is it necessarily true that the mean time to go from state <math>i</math> to state <math>j</math> is equal to the mean time to go from state <math>j</math> to state <math>i</math>? '' Hint''...")
 
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\newcommand{\mathds}{\mathbb}</math></div> If <math>\mat{P}</math> is a reversible Markov chain, is it  
\newcommand{\mathds}{\mathbb}</math></div> If <math>\mat{P}</math> is a reversible Markov chain, is it necessarily true that the mean time to go from state <math>i</math> to state <math>j</math> is equal to the mean time to go from state <math>j</math> to state <math>i</math>?  '' Hint'': Try the Land of Oz example [[guide:52e01d4de7#exam 11.1.1 |(Example]]).
necessarily true that the mean time to go from state <math>i</math> to state <math>j</math> is equal  
to the mean time to go from state <math>j</math> to state <math>i</math>?  '' Hint'': Try the  
Land of Oz example [[guide:52e01d4de7#exam 11.1.1 |(Example]]).

Latest revision as of 02:27, 15 June 2024

[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]

If [math]\mat{P}[/math] is a reversible Markov chain, is it necessarily true that the mean time to go from state [math]i[/math] to state [math]j[/math] is equal to the mean time to go from state [math]j[/math] to state [math]i[/math]? Hint: Try the Land of Oz example (Example).