Strong laws for weighted sums of random elements

被引:2
作者
Liang, HY [1 ]
Su, C
机构
[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China
[2] Univ Sci & Technol China, Dept Stat & Finance, Anhua 230026, Peoples R China
关键词
Banach space of type p; random element; strong law; weighted sum;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Strong laws of large numbers for weighted sums of independent random variables are proved for Banach spaces of type p. Chen, Zhu and Fang's (1996) results on real-valued i.i.d. random variables are extended and generalized, and their unsolved problem is answered. Also, necessary conditions for these strong convergences are considered.
引用
收藏
页码:1011 / 1019
页数:9
相关论文
共 50 条
[31]   Peakedness for weighted sums of symmetric random variables [J].
Zhao, Peng ;
Chan, Ping Shing ;
Ng, Hon Keung Tony .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2011, 141 (05) :1737-1743
[32]   Weighted sums of subexponential random variables and their maxima [J].
Chen, YQ ;
Ng, KW ;
Tang, QH .
ADVANCES IN APPLIED PROBABILITY, 2005, 37 (02) :510-522
[33]   A Marcinkiewicz-Zygmund type strong law for weighted sums of φ-mixing random variables and its applications [J].
Chen, Pingyan ;
Sung, Soo Hak .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 505 (01)
[34]   Strong Convergence for Weighted Sums of Negatively Associated Arrays [J].
Hanying LIANG Jingjing ZHANG Department of Mathematics .
Chinese Annals of Mathematics,Series B, 2010, (02) :273-288
[35]   Strong Convergence for Weighted Sums of Negatively Associated Arrays [J].
Liang, Hanying ;
Zhang, Jingjing .
CHINESE ANNALS OF MATHEMATICS SERIES B, 2010, 31 (02) :273-288
[36]   Complete Moment Convergence for Sung's Type Weighted Sums of B-Valued Random Elements [J].
Li, Wei ;
Chen, Pingyan ;
Sung, Soo Hak .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016
[37]   Strong convergence for weighted sums of negatively associated arrays [J].
Hanying Liang ;
Jingjing Zhang .
Chinese Annals of Mathematics, Series B, 2010, 31 :273-288
[38]   Chover-type laws of the iterated logarithm for weighted sums [J].
Peng, L ;
Qi, YC .
STATISTICS & PROBABILITY LETTERS, 2003, 65 (04) :401-410
[39]   Complete Convergence for Weighted Sums of a Class of Random Variables [J].
Deng, Xin ;
Ge, Meimei ;
Wang, Xuejun ;
Liu, Yanfang ;
Zhou, Yu .
FILOMAT, 2014, 28 (03) :509-522
[40]   Almost sure convergence for weighted sums of extended negatively dependent random variables [J].
Lita da Silva, J. .
ACTA MATHEMATICA HUNGARICA, 2015, 146 (01) :56-70