The Regression Systems of Two Sums Having Random Elements in Common
نویسندگان
چکیده
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Let {Xni} be an array of rowwise independent B-valued random elements and {an} constants such that 0 < an ↑ ∞. Under some moment conditions for the array, it is shown that ∑n i=1Xni/an converges to 0 completely if and only if ∑n i=1Xni/an converges to 0 in probability.
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1939
ISSN: 0003-4851
DOI: 10.1214/aoms/1177732247