"For a sequence {Xn} of random variables
plim
n
→
∞
X
n
=
X
{\displaystyle {\underset {n\to \infty }{\operatorname {plim} }}\,X_{n}=X}
is the same as
lim
n
→
∞
Pr
(
|
X
n
−
X
|
≥
ε
)
=
0
{\displaystyle \lim _{n\to \infty }\operatorname {Pr} {\big (}|X_{n}-X|\geq \varepsilon {\big )}=0}
0)}">
(
∀
ε
>
0
)
{\displaystyle (\forall \varepsilon >0)}
0)}">"