A general result of the almost sure central limit theorem of uniform empirical process

作者：Zang Qing Pei^*

来源：Statistics, 2015, 49(1): 98-103.

DOI：10.1080/02331888.2013.869596

• almost sure central limit theorem
• uniform empirical process
• Brownian bridge

Let {X-n; n1} be a sequence of independent and identically distributed U[0, 1]-distributed random variables. Define the uniform empirical process , 0t1, and |F-n|=sup (0t1)|F-n(t)|. This paper is concerned with a general case of the almost sure central limit theorem of |F-n| and sup F-0t1(n)(t).

• 出版日期2015-1-2
• 单位淮阴师范学院