Convergence in Probability
1 Statement
\(X_n\) converges in probability to \(X\) if for every \(\epsilon > 0\), \[ \lim_{n\rightarrow\infty} P(|X_n - X| > \epsilon) = 0 \]
\(X_n\) converges in probability to \(X\) if for every \(\epsilon > 0\), \[ \lim_{n\rightarrow\infty} P(|X_n - X| > \epsilon) = 0 \]