## Nagoya Mathematical Journal

- Nagoya Math. J.
- Volume 180 (2005), 135-149.

### Two-dimensional symmetric stable distributions and their projections

#### Abstract

We study the problem whether a given $2$-dimensional symmetric stable distribution with index $\alpha$ $(0 < \alpha \leq 1)$ is determined by its $1$-dimensional projections in some specified directions. We give some conditions for the affirmative answer and for the negative answer.

#### Article information

**Source**

Nagoya Math. J., Volume 180 (2005), 135-149.

**Dates**

First available in Project Euclid: 14 December 2005

**Permanent link to this document**

https://projecteuclid.org/euclid.nmj/1134569900

**Mathematical Reviews number (MathSciNet)**

MR2186673

**Zentralblatt MATH identifier**

1087.60016

**Subjects**

Primary: 60E07: Infinitely divisible distributions; stable distributions

**Keywords**

symmetric stable 1-dimensional projection

#### Citation

Kojo, Katsuya. Two-dimensional symmetric stable distributions and their projections. Nagoya Math. J. 180 (2005), 135--149. https://projecteuclid.org/euclid.nmj/1134569900