A NOTE ON SUMS OF INDEPENDENT RANDOM VARIABLES WITH INFINITE FIRST MOMENT

被引:9
作者
MILLER, HD
机构
来源
ANNALS OF MATHEMATICAL STATISTICS | 1967年 / 38卷 / 03期
关键词
D O I
10.1214/aoms/1177698868
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:751 / &
相关论文
共 50 条
[31]   Moment inequalities for the partial sums of random variables [J].
Shanchao Yang .
Science in China Series A: Mathematics, 2001, 44 :1-6
[32]   LIMIT-THEOREMS WITHOUT MOMENT HYPOTHESES FOR SUMS OF INDEPENDENT RANDOM-VARIABLES [J].
TOMKINS, RJ .
ANNALS OF PROBABILITY, 1980, 8 (02) :314-324
[33]   TAIL AND MOMENT ESTIMATES FOR SUMS OF INDEPENDENT RANDOM-VARIABLES WITH LOGARITHMICALLY CONCAVE TAILS [J].
GLUSKIN, ED ;
KWAPIEN, S .
STUDIA MATHEMATICA, 1995, 114 (03) :303-309
[34]   Weak compactness of random sums of independent random variables [J].
Kruglov, VM .
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1999, 43 (02) :203-220
[35]   ON RANDOM-VARIABLES STIPULATED BY SUMS OF INDEPENDENT RANDOM-VARIABLES [J].
GNEDENKO, BV ;
KUDLAEV, EM .
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1995, (05) :23-31
[36]   Random sums of random variables and vectors: Including infinite means and unequal length sums [J].
Edward Omey ;
Rein Vesilo .
Lithuanian Mathematical Journal, 2015, 55 :433-450
[37]   A Note on Weighted Sums of Associated Random Variables [J].
T. Çağin ;
P. E. Oliveira .
Acta Mathematica Hungarica, 2014, 143 :96-106
[38]   Random sums of random variables and vectors: Including infinite means and unequal length sums [J].
Omey, Edward ;
Vesilo, Rein .
LITHUANIAN MATHEMATICAL JOURNAL, 2015, 55 (03) :433-450
[39]   A Note on Weighted Sums of Associated Random Variables [J].
Cagin, T. ;
Oliveira, P. E. .
ACTA MATHEMATICA HUNGARICA, 2014, 143 (01) :96-106
[40]   A note on the law of the iterated logarithm for weighted sums of independent identically distributed random variables [J].
Li, DL ;
Rao, MB .
CONVERGENCE IN ERGODIC THEORY AND PROBABILITY, 1996, 5 :273-276