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A law of the single logarithm for weighted sums of arrays applied to bootstrap model selection in regression

✍ Scribed by Pierre Lafaye de Micheaux; Christian Léger


Book ID
116890437
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
221 KB
Volume
82
Category
Article
ISSN
0167-7152

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For a sequence of Banach space valued random elements {Vn; n¿1} (which are not necessarily independent) with the series ∞ n = 1 Vn converging unconditionally in probability and an inÿnite array a = {ani; i¿n; n¿1} of constants, conditions are given under which (i) for all n¿1, the sequence of weight