Author pages are created from data sourced from our academic publisher partnerships and public sources.

## Recommended Authors

- Publications
- Influence

Probabilistic Number Theory, the GEM/Poisson-Dirichlet Distribution and the Arc-sine Law

- Ulrich Martin Hirth
- Mathematics, Computer Science
- Comb. Probab. Comput.
- 1 March 1997

The prime factorization of a random integer has a GEM/Poisson-Dirichlet distribution as transparently proved by Donnelly and Grimmett [8]. By similarity to the arc-sine law for the mean distribution… Expand

A Poisson approximation for the Dirichlet law, the Ewens sampling formula and the Griffiths-Engen-McCloskey law by the Stein-Chen coupling method

- Ulrich Martin Hirth
- Mathematics
- 1 June 1997

We consider the random number of (Griffiths-Engen-McCloskey (GEM))-(Poisson-Dirichlet) components which are greater than e. In two alternative and similar ways, letting Dirichlet laws and Ewens… Expand

From GEM back to Dirichlet via Hoppe's Urn

- Ulrich Martin Hirth
- Computer Science, Mathematics
- Comb. Probab. Comput.
- 1 June 1997

In generalisation of the beta law obtained under the GEM/Poisson–Dirichlet distribution in Hirth [12] we undertake here an analogous construction which results in the Dirichlet law. Our proof makes… Expand