quality:corruption, linguistic:voice_change, linguistic:paraphrasing, structural:reformatting
Definition for more than two random variables

For N {\displaystyle N} random variables X 1, …, X N {\displaystyle X_{1},\ldots,X_{N}}, the joint CDF F X 1, …, X N {\displaystyle F_{X_{1},\ldots,X_{N}}} is given by

Interpreting the N {\displaystyle N} random variables as a random vector X = (X 1, …, X N) T {\displaystyle \mathbf {X} =(X_{1},\ldots,X_{N})^{T}} yields a shorter notation: F X (x) = P (X 1 ≤ x 1, …, X N ≤ x N) {\displaystyle F_{\mathbf {X} }(\mathbf {x})=\operatorname {P} (X_{1}\leq x_{1},\ldots,X_{N}\leq x_{N})}