馬爾可夫鏈的狀態轉移圖

假設以下矩陣是與馬爾可夫鏈相關聯的轉移概率矩陣。

    0.5   0.2  0.3
P=  0.0   0.1  0.9
    0.0   0.0  1.0

為了研究馬爾可夫鏈狀態的性質，繪製了馬爾可夫鏈的狀態轉移圖。

\documentclass[12pt,a4paper]{article}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows,positioning}
\begin{tikzpicture}[->,>=stealth',shorten >=2pt, line width=3pt, 
                                  node distance=2cm, style ={minimum size=20mm}]
\tikzstyle{every node}=[font=\huge]
\node [circle, draw] (a) {1};
\path  (a) edge [loop above] (a);
\node [circle, draw] (b) [right=of a] {2};
\path  (b) edge [loop above] (b);
\draw[->] (a) -- (b);
\node [circle, draw] (c) [below=of a] {3};
\path  (c) edge [loop below] (c);
\draw[->] (a) -- (c);
\draw[->] (b) -- (c);
\end{tikzpicture}