ThmDex – An index of mathematical definitions, results, and conjectures.
F11257
Formulation 0
Let $X, Y \in \text{Random}(\mathbb{R})$ each be a D3161: Random real number such that
(i) $X, Y$ is an D2713: Independent random collection
Let $\alpha, \beta, \gamma, \delta \in \mathbb{R}$ each be a D993: Real number such that
(i) \begin{equation} \alpha \neq 0 \neq \gamma \end{equation}
Then $\alpha X + \beta, \gamma Y + \delta$ is an D2713: Independent random collection.