## Electronic Journal of Probability

### Moment convergence of balanced Pólya processes

#### Abstract

It is known that in an irreducible small Pólya urn process, the composition of the urn after suitable normalization converges in distribution to a normal distribution. We show that if the urn also is balanced, this normal convergence holds with convergence of all moments, thus giving asymptotics of (central) moments.

#### Article information

Source
Electron. J. Probab., Volume 23 (2018), paper no. 34, 13 pp.

Dates
Accepted: 30 June 2017
First available in Project Euclid: 28 April 2018

https://projecteuclid.org/euclid.ejp/1524880978

Digital Object Identifier
doi:10.1214/17-EJP80

Zentralblatt MATH identifier
1390.60044

Subjects
Primary: 60C05: Combinatorial probability

#### Citation

Janson, Svante; Pouyanne, Nicolas. Moment convergence of balanced Pólya processes. Electron. J. Probab. 23 (2018), paper no. 34, 13 pp. doi:10.1214/17-EJP80. https://projecteuclid.org/euclid.ejp/1524880978

#### References

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