Almost sure functional limit theorem for the product of partial sums
ESAIM: Probability and Statistics, Tome 14 (2010), pp. 338-342

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We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive random variables with finite second moment.

DOI : 10.1051/ps:2008038
Classification : 60F05, 60F15
Keywords: almost sure limit theorem, functional theorem, invariance principle, product of partial sums
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     author = {Gonchigdanzan, Khurelbaatar},
     title = {Almost sure functional limit theorem for the product of partial sums},
     journal = {ESAIM: Probability and Statistics},
     pages = {338--342},
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     year = {2010},
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     language = {en},
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Gonchigdanzan, Khurelbaatar. Almost sure functional limit theorem for the product of partial sums. ESAIM: Probability and Statistics, Tome 14 (2010), pp. 338-342. doi: 10.1051/ps:2008038

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