CONVERGENCE RATES IN CENTRAL LIMIT THEOREM FOR SUMS OF A RANDOM NUMBER OF INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM-VARIABLES

被引:0
作者
RYCHLIK, Z [1 ]
SZYNAL, D [1 ]
机构
[1] UNIV M CURIE SKLODOWSKIEJ,INST MATEMATYKI,NOWOTKI 10,20-031 LUBLIN,POLAND
来源
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES | 1974年 / 22卷 / 07期
关键词
D O I
暂无
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
引用
收藏
页码:683 / 690
页数:8
相关论文
共 50 条
[41]   SUMMABILITY METHODS FOR INDEPENDENT, IDENTICALLY DISTRIBUTED RANDOM-VARIABLES [J].
LAI, TL .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :253-261
[42]   CONVERGENCE OF DISTRIBUTIONS OF SUMS OF A RANDOM NUMBER OF INDEPENDENT RANDOM-VARIABLES TO NORMAL-DISTRIBUTION [J].
KRUGLOV, VM .
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1976, (05) :5-12
[43]   RATES OF CONVERGENCE FOR WEIGHTED SUMS OF RANDOM-VARIABLES [J].
WRIGHT, FT .
ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (05) :1687-&
[45]   The central limit theorem for the moments of sums of independent random variables [J].
Rozovsky, LV .
LIMIT THEOREMS IN PROBABILITY AND STATISTICS, VOL II, 2002, :527-541
[46]   A counterexample to the existence of a general central limit theorem for pairwise independent identically distributed random variables [J].
Avanzi, Benjamin ;
Beaulieu, Guillaume Boglioni ;
de Micheaux, Pierre Lafaye ;
Ouimet, Frederic ;
Wong, Bernard .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 499 (01)
[47]   LIMIT THEOREMS FOR DISTRIBUTIONS OF SUMS OF A RANDOM NUMBER OF RANDOM-VARIABLES [J].
SZASZ, D .
ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (06) :1902-1913
[48]   LIMIT THEOREMS FOR DISTRIBUTIONS OF SUMS OF A RANDOM NUMBER OF RANDOM-VARIABLES [J].
SZASZ, D .
ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (06) :2198-&
[49]   A completion of counterexamples to the classical central limit theorem for triplewise independent and identically distributed random variables [J].
Raic, Martin .
STATISTICS & PROBABILITY LETTERS, 2025, 226
[50]   CENTRAL LIMIT-THEOREM FOR SUMS OVER SETS OF RANDOM-VARIABLES [J].
EICKER, F .
ANNALS OF MATHEMATICAL STATISTICS, 1961, 32 (02) :625-625