## The Annals of Probability

### When is the Cluster Set of $S_n/a_n$ Empty?

J. Kuelbs

#### Abstract

We investigate the relationship between the bounded law of the iterated logarithm and the compact law of the iterated logarithm for Banach space valued random variables through the cluster set of $S_n/a_n$. Some rate of escape questions are also examined.

#### Article information

Source
Ann. Probab., Volume 9, Number 3 (1981), 377-394.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176994412

Digital Object Identifier
doi:10.1214/aop/1176994412

Mathematical Reviews number (MathSciNet)
MR614624

Zentralblatt MATH identifier
0459.60005

JSTOR
Kuelbs, J. When is the Cluster Set of $S_n/a_n$ Empty?. Ann. Probab. 9 (1981), no. 3, 377--394. doi:10.1214/aop/1176994412. https://projecteuclid.org/euclid.aop/1176994412