ON SEQUENCES OF PAIRS OF DEPENDENT RANDOM VARIABLES

摘要: The generalized random variables $( {x,y} )$ have a given joint distribution. Pairs {x_i ,y_i } are drawn independently. observer of {x_1 , \cdots ,x_n and the {y_1 ,y_n each make binary decision, entropy bounded away from zero, with probability disagreement $\varepsilon _n $. It is shown that $ can be made to approach zero as $n \to \infty if only maximum correlation x y unity. Under compactness condition, satisfied in particular when and/or takes finitely many values, this occurs distribution decomposes, _1 vanish by nontrivial decisions, had been conjectured.Results also obtained for nonidentically distributed pairs, randomized multivalued decisions based on infinite sequences.The question arose transmission data two dependent sources receivers. results Gac...