臺灣博碩士論文加值系統

1949年Erdos的文章中探討相同分配的獨立隨機數列,在此篇文章中我們將探討獨立隨機數列的完全收斂,而不完全是相同分配的情況.

1. Introduction and Priliminary................................1
2. Main Results................................................8
2.1 Complete Convergence for Independent Random Variables...8
2.2 Independent Normal Random Variables with Mean Zero.....16
2.3 More on Conditions of Complete Convergence.............21
References....................................................27

[1] P. Erdos, On a Theorem of Hsu and Robbins, Ann. Math. Statist. 20(1949), pp. 286-291.
[2] M. Loeve, Probability Theory Vol. I, 4th Edition, Springer-Verlag.
[3] T.-C. Hu, D. Szynal, A.I. Volodin, A note on complete convergence for arrays, Statistics and Probability Letters 38(1998), pp. 27-31.
[4] Tien-Chung Hu, Andrei Volodin, Addendum to "A note on complete convergence for arrays", Statistics and Probability Letters 47(2000), pp.209-211.
[5] William F. Stout, Almost Sure Convergence, Academic Press 1974.