连续型随机变量序列随机选择的一类强偏差定理

A Class of Strong Deviation Theorems on Random Selection for the Sequences of Absolutely Continuous Random Variables

设{,≥1}nXn是任意相依的连续型随机序列,{,≥1}nYn是一列随机选择函数,{,≥1}nBn是实直线上的一列Borel集,令1,≥1nnkkYns==,研究随机平均11()knnkBkkYIXs-=的极限性质,所得结果与文[3]平行。

Let{,1}nXn≥be an arbitrary sequence of dependent absolutely continuous random variables, {,1}nYn≥be a series of random selection functions, and {,1}nBn≥be Borel sets on the real line, 1,1nnkkYns==≥.In this paper, the limit property of random average 11()knnkBkkYIXs-= is studied, and the result is parallel to [3].