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

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 
@article{PS_2010__14__338_0,
     author = {Gonchigdanzan, Khurelbaatar},
     title = {Almost sure functional limit theorem for the product of partial sums},
     journal = {ESAIM: Probability and Statistics},
     pages = {338--342},
     year = {2010},
     publisher = {EDP Sciences},
     volume = {14},
     doi = {10.1051/ps:2008038},
     mrnumber = {2779488},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ps:2008038/}
}
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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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