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  • 學位論文

Marcinkiewicz-Zygmund型強大數法則在隨機變數為成對獨立且有相同分佈結構下之研究

A Study On Marcinkiewicz-Zygmund Type Strong Law of Large Numbers for Pairwise Independent Identically Distributed Random Variables

指導教授 : 胡殿中
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摘要


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

並列摘要


無資料

參考文獻


[1] Etemadi, N. (1981), An elementary proof of the strong law of large numbers, Z. Wahrscheinlichkeitstheor und verw. Geb. 55, 119-122.
[3] Li, G. (1988), Strong convergence of random elements in Banach spaces. Sichuan Daxue Xuebao 25(4), 381-389.
[4] Martikainen, A. (1995), On the strong law of large numbers for sums of pairwise independent random variables. Stat. Probab. Lett. 25, 21-26.
[5] Sung, S.H. (2012), Marcinkiewicz-Zygmund type strong law of large numbers for pairwise i.i.d. random variables J. Theor. Probab.
[6] Loève, M. (1977), Probability Theory ll, 4th ed. Springer, New York.

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