exercise:B3564f8ab9: Difference between revisions

From Stochiki
(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> Consider the Markov chain with transition matrix of Exercise \ref{exer 11.3.3}, with <math>a = 0</math> and <math>b = 1/2</math>. Compute directly the unique fixed probability vector, and use your result to prove that the chain is not ergodic.")
 
No edit summary
 
Line 5: Line 5:
\newcommand{\secstoprocess}{\all}
\newcommand{\secstoprocess}{\all}
\newcommand{\NA}{{\rm NA}}
\newcommand{\NA}{{\rm NA}}
\newcommand{\mathds}{\mathbb}</math></div> Consider the Markov chain with transition matrix of
\newcommand{\mathds}{\mathbb}</math></div> Consider the Markov chain with transition matrix of [[exercise:958c6ba2a8|Exercise]], with <math>a = 0</math> and <math>b = 1/2</math>.  Compute directly the unique fixed probability vector, and use your result to prove that the chain is not ergodic.
Exercise \ref{exer
11.3.3}, with <math>a = 0</math> and <math>b = 1/2</math>.  Compute directly the unique fixed
probability vector,
and use your result to prove that the chain is not ergodic.

Latest revision as of 22:50, 17 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]

Consider the Markov chain with transition matrix of Exercise, with [math]a = 0[/math] and [math]b = 1/2[/math]. Compute directly the unique fixed probability vector, and use your result to prove that the chain is not ergodic.