{"articles":{"ergodic-theorem@computational-statistical-methods":{"content":"<p>If X_n is an irreducible and aperiodic Markov chain with stationary distribution \\(\\pi\\), then \\({X}_{n}\\) converges in distribution to \\(\\pi\\), and \\[{\\frac{1}{n} {\\sum}_{t} h({X}_{t}) \\to{} {E}_{\\pi}{} h(X)}\\] almost surely.</p>","names":[[["Ergodic theorem",""]]]}},"style":"Statement"}