ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Collection of sets
▼ Set union
▼ Successor set
▼ Inductive set
▼ Set of inductive sets
▼ Set of natural numbers
▼ Set of integers
▼ Set of rademacher integers
▼ Rademacher integer
▼ Rademacher random integer
▼ Standard rademacher random integer
▼ Standard gaussian random real number
▼ Chi random unsigned real number
▼ Chi-squared random unsigned real number
Definition D5285
Standard chi-squared random unsigned real number
Formulation 0
Let $Z \in \text{Gaussian}(0, 1)$ be a D211: Standard gaussian random real number.
A D3161: Random real number $X \in \text{Random}(\mathbb{R})$ is a standard chi-squared random unsigned real number if and only if \begin{equation} X \overset{d}{=} Z^2 \end{equation}