Open AccessExact Weak Laws and One Sided Strong Laws
Author(s) -
André Adler
Publication year - 2017
Publication title -
bulletin of the institute of mathematics academia sinica new series
Language(s) - English
Resource type - Journals
eISSN - 2304-7909
pISSN - 2304-7895
DOI - 10.21915/bimas.2017201
Subject(s) - law , mathematics , political science
This paper explores Exact Weak Laws and their almost sure counterparts. First we show that the weighted sums of our infinite mean random variables can be balanced by a carefully selected sequence, i.e., that the ratio converges to one in probability. Then it is shown that the upper limit is almost surely infinity, while the lower limit is one.
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