همگرایی متغیرهای تصادفی

${\displaystyle \underset{n\to \mathrm{\infty }}{lim}{X}_n=X}$

${\displaystyle P\{\underset{n\to \mathrm{\infty }}{lim}{X}_n=X\}=1}$

${\displaystyle \text{l.i.m. }{X}_n=Xn\to \mathrm{\infty }}$

${\displaystyle \underset{n\to \mathrm{\infty }}{lim}P\{|X-X_n|\}=0}$

${\displaystyle \underset{n\to \mathrm{\infty }}{lim}{F}_n(x)=F(x)}$