A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law

作者：Wu, Qunying^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, 2012: 17.

DOI：10.1186/1029-242X-2012-17

• domain of attraction of the normal law
• self-normalized partial sums
• almost sure central limit theorem

Let X, X (1), X (2),... be a sequence of independent and identically distributed random variables in the domain of attraction of a normal distribution. A universal result in almost sure limit theorem for the self-normalized partial sums S-n/V-n is established, where S-n = Sigma(n)(i=1) X-i,V-n(2) = Sigma(n)(i=1) X-i(2).

• 出版日期2012
• 单位桂林理工大学