Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces
Applications of Mathematics, Tome 61 (2016) no. 6, pp. 669-684
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
The aim of the paper is to establish strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in a convex combination space with or without compactly uniformly integrable condition. Some of our results are even new in the case of real random variables.
The aim of the paper is to establish strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in a convex combination space with or without compactly uniformly integrable condition. Some of our results are even new in the case of real random variables.
DOI :
10.1007/s10492-016-0152-8
Classification :
60B05, 60F15, 60G50
Keywords: strong law of large numbers; convex combination space; pairwise $m$-dependent; blockwise $m$-dependent; compactly uniformly integrable
Keywords: strong law of large numbers; convex combination space; pairwise $m$-dependent; blockwise $m$-dependent; compactly uniformly integrable
@article{10_1007_s10492_016_0152_8,
author = {Quang, Nguyen Van and Nguyen, Pham Tri},
title = {Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces},
journal = {Applications of Mathematics},
pages = {669--684},
year = {2016},
volume = {61},
number = {6},
doi = {10.1007/s10492-016-0152-8},
mrnumber = {3572460},
zbl = {06674851},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-016-0152-8/}
}
TY - JOUR AU - Quang, Nguyen Van AU - Nguyen, Pham Tri TI - Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces JO - Applications of Mathematics PY - 2016 SP - 669 EP - 684 VL - 61 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-016-0152-8/ DO - 10.1007/s10492-016-0152-8 LA - en ID - 10_1007_s10492_016_0152_8 ER -
%0 Journal Article %A Quang, Nguyen Van %A Nguyen, Pham Tri %T Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces %J Applications of Mathematics %D 2016 %P 669-684 %V 61 %N 6 %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-016-0152-8/ %R 10.1007/s10492-016-0152-8 %G en %F 10_1007_s10492_016_0152_8
Quang, Nguyen Van; Nguyen, Pham Tri. Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces. Applications of Mathematics, Tome 61 (2016) no. 6, pp. 669-684. doi: 10.1007/s10492-016-0152-8
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