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ON A COMBINATORIAL STRONG LAW OF LARGE NUMBERS. / Frolov, Andrei N. .
в: ISTATISTIK: JOURNAL OF THE TURKISH STATISTICAL ASSOCIATION, Том 11, № 3, 12.2018, стр. 46-52.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - ON A COMBINATORIAL STRONG LAW OF LARGE NUMBERS
AU - Frolov, Andrei N.
PY - 2018/12
Y1 - 2018/12
N2 - We derive strong laws of large numbers for combinatorial sums iXniπn(i), where Xnij are n × n matrices of random variables with finite fourth moments and (πn(1), . . . , πn(n)) are uniformly distributed random permutations of 1, . . . , n independent with X’s. We do not assume the independence of X’s, but this case is included as well. Examples are discussed.
AB - We derive strong laws of large numbers for combinatorial sums iXniπn(i), where Xnij are n × n matrices of random variables with finite fourth moments and (πn(1), . . . , πn(n)) are uniformly distributed random permutations of 1, . . . , n independent with X’s. We do not assume the independence of X’s, but this case is included as well. Examples are discussed.
UR - https://dergipark.org.tr/en/pub/ijtsa/issue/42850
UR - https://dergipark.org.tr/en/pub/ijtsa/issue/42850/518197
M3 - Article
VL - 11
SP - 46
EP - 52
JO - ISTATISTIK: JOURNAL OF THE TURKISH STATISTICAL ASSOCIATION
JF - ISTATISTIK: JOURNAL OF THE TURKISH STATISTICAL ASSOCIATION
SN - 1300-4077
IS - 3
ER -
ID: 36181548