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ThmDex – An index of mathematical definitions, results, and conjectures.
Affine transformations preserve independent finite real collection
Formulation 0
Let X1,,XNRandom(R) each be a D3161: Random real number such that
(i) X1,,XN is an D2713: Independent random collection
Let α1,β1,,αN,βNR each be a D3161: Random real number such that
(i) α10,,αN0
Then α1X1+β1,,αNXN+βN is an D2713: Independent random collection.
Subresults
R4808: Affine transformations preserve independent real pairs