## Journal of Applied Mathematics

- J. Appl. Math.
- Volume 2012 (2012), Article ID 329391, 13 pages.

### Almost Sure Central Limit Theory for Self-Normalized Products of Sums of Partial Sums

#### Abstract

Let $X,{X}_{1},{X}_{2},\dots $ be a sequence of independent and identically distributed random variables in the domain of attraction of a normal law. An almost sure limit theorem for the self-normalized products of sums of partial sums is established.

#### Article information

**Source**

J. Appl. Math., Volume 2012 (2012), Article ID 329391, 13 pages.

**Dates**

First available in Project Euclid: 14 December 2012

**Permanent link to this document**

https://projecteuclid.org/euclid.jam/1355495114

**Digital Object Identifier**

doi:10.1155/2012/329391

**Mathematical Reviews number (MathSciNet)**

MR2915715

**Zentralblatt MATH identifier**

1252.60030

#### Citation

Wu, Qunying. Almost Sure Central Limit Theory for Self-Normalized Products of Sums of Partial Sums. J. Appl. Math. 2012 (2012), Article ID 329391, 13 pages. doi:10.1155/2012/329391. https://projecteuclid.org/euclid.jam/1355495114