Necessary and sufficient condition for the uniform law of large numbers

作者： J. Hoffmann-Jørgensen

关键词: Mathematics 、 Pure mathematics 、 Law of large numbers 、 Banach space 、 Central limit theorem 、 Polish space

摘要:

参考文章(3)

Niels Trolle Andersen, The central limit theorem for non-separable valued functions Probability Theory and Related Fields. ,vol. 70, pp. 445- 455 ,(1985) , 10.1007/BF00534875

Evarist Gine, Joel Zinn, Some Limit Theorems for Empirical Processes Annals of Probability. ,vol. 12, pp. 929- 989 ,(1984) , 10.1214/AOP/1176993138

J. Hoffmann-Jorgensen, G. Pisier, The Law of Large Numbers and the Central Limit Theorem in Banach Spaces Annals of Probability. ,vol. 4, pp. 587- 599 ,(1976) , 10.1214/AOP/1176996029