臺灣博碩士論文加值系統

本篇文章主要證明在一隨機變數列為成對獨立且相同分佈結構下其動差條件為
E|X_1 |^p<∞，1<p<2會有類似於Marcinkiewicz-Zygmund Type的強大數法則的情形。

一、導論及引理

1.1 導論.................................................p.4

1.2 引理.................................................p.5

二、文獻研究

2.1 p.i.i.d.隨機變數在動差條件為E|X_1 |^p 〖(logn)〗^τ<∞,τ>0,τ>4p-6,1<p<2的Marcinkiewicz-Zygmund type
SLLN.
.........................................................p.9

2.2 p.i.i.d.隨機變數在 動差條件為E|X_1 |^p 〖(loglogn)〗^(2(p-1))<∞,1<p<2 的Marcinkiewicz-Zygmund type SLLN.
........................................................p.24

三、主要結果............................................. p.34

四、結論.................................................p.42

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[6] Loève, M. (1977), Probability Theory ll, 4th ed. Springer, New York.

[7] Rick Durrett (2010), Probability : Theory and Examples, 70-71.