ThmDex – An index of mathematical definitions, results, and conjectures.

ThmDex – An index of mathematical definitions, results, and conjectures.

Result R3923 on D5208: Symmetric random real number

Standard gaussian random real number is symmetric about zero

Formulation 0

Let $Z \in \text{Gaussian}(0, 1)$ be a D211: Standard gaussian random real number.

Then \begin{equation} Z \overset{d}{=} - Z \end{equation}