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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.
@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}, publisher = {EDP-Sciences}, volume = {14}, year = {2010}, doi = {10.1051/ps:2008038}, mrnumber = {2779488}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.1051/ps:2008038/} }
TY - JOUR AU - Gonchigdanzan, Khurelbaatar TI - Almost sure functional limit theorem for the product of partial sums JO - ESAIM: Probability and Statistics PY - 2010 SP - 338 EP - 342 VL - 14 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ps:2008038/ DO - 10.1051/ps:2008038 LA - en ID - PS_2010__14__338_0 ER -
%0 Journal Article %A Gonchigdanzan, Khurelbaatar %T Almost sure functional limit theorem for the product of partial sums %J ESAIM: Probability and Statistics %D 2010 %P 338-342 %V 14 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ps:2008038/ %R 10.1051/ps:2008038 %G en %F PS_2010__14__338_0
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. http://geodesic.mathdoc.fr/articles/10.1051/ps:2008038/
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