一般隨機變量的完全收斂及大數定律

苗雨 常萌萌

摘 要：通過包含并完善一些已有結論，建立了一般隨機變量的完全收斂和大數定律.特別對于兩兩負象限相關的隨機變量，得到了其完全收斂和Marcinkiewicz-Zygmund型強大數定律之間的等價結論.

關鍵詞：完全收斂;強大數定律;隨機變量

中圖分類號：O175.2文獻標志碼：A

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On the complete convergence and the strong law of large numbers for general random variables

Miao Yu1， Chang Mengmeng1，2

（1. College of Mathematics and Information Science; Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control，

Henan Normal University， Xinxiang 453007， China; 2. College of Mathematics and Information Science， Anyang Institute of Technology， Anyang 455000， China）

Abstract： In the paper， the complete convergence and the strong law of large numbers for general dependent random sequence are established， which include and improve some known results. In particular， the equivalence between complete convergence and Marcinkiewicz-Zygmund strong law of large numbers for the pairwise negatively quadrant dependent random variables is obtained.

Keywords： complete convergence; strong law of large numbers; random variables

［責任編校 陳留院 趙曉華］