## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 43, Number 1 (1972), 358-362.

### A Law of the Iterated Logarithm for the Asymmetric Stable Law with Characteristic Exponent One

#### Abstract

A law of the iterated logarithm is proved using an extension of the Borel-Cantelli lemma and the asymptotic expansion of the left tail of this stable law.

#### Article information

**Source**

Ann. Math. Statist., Volume 43, Number 1 (1972), 358-362.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177692732

**Digital Object Identifier**

doi:10.1214/aoms/1177692732

**Mathematical Reviews number (MathSciNet)**

MR298738

**Zentralblatt MATH identifier**

0237.60016

**JSTOR**

links.jstor.org

#### Citation

Mijnheer, J. L. A Law of the Iterated Logarithm for the Asymmetric Stable Law with Characteristic Exponent One. Ann. Math. Statist. 43 (1972), no. 1, 358--362. doi:10.1214/aoms/1177692732. https://projecteuclid.org/euclid.aoms/1177692732