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DTIC ADA121478: A Characterization of Independence in a Family of D...
by Defense Technical Information Center
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A characterization of independence via uncorrelatedness
is shown to hold for a family exhibiting positive
dependence, wider than the one containing associated
random variables. This generalizes a result of Newman and
Wright (1981 Ann. Prob.) for associated random variables.
In fact the weakening of the positive dependence
condition naturally leads to a more direct and simple
proof of the characterization. It also yields the same
characterization for a family possessing an analogous
negative dependence condition. (Author)
Date Published: 2018-01-07 18:43:42
Identifier: DTIC_ADA121478
Item Size: 5712694
Language: english
Media Type: texts
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