ThmDex – An index of mathematical definitions, results, and conjectures.
Independent countable random real collection is uncorrelated
Formulation 0
Let $P = (\Omega, \mathcal{F}, \mathbb{P})$ be a D1159: Probability space such that
(i) $X_0, X_1, X_2, \ldots : \Omega \to \mathbb{R}$ are each a D3161: Random real number on $P$
(ii) $X_0, X_1, X_2, \ldots$ is an D2713: Independent random collection on $P$
Then $X_0, X_1, X_2, \ldots$ is an D3842: Uncorrelated random collection on $P$.