## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 30, Number 2 (1959), 586-590.

### Note on the Factorial Moments of the Distribution of Locally Maximal Elements in a Random Sample

#### Abstract

The results reported by T. Austin, R. Fagen, T. Lehrer, and W. Penney [1] are extended to include a general recurrence relation for the factorial moments of the distribution. This recurrence relation is solved for the mean and second factorial moments, and it is shown that the method applied may also be used to obtain a general solution for any desired factorial moment of higher order.

#### Article information

**Source**

Ann. Math. Statist., Volume 30, Number 2 (1959), 586-590.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177706273

**Digital Object Identifier**

doi:10.1214/aoms/1177706273

**Mathematical Reviews number (MathSciNet)**

MR102869

**Zentralblatt MATH identifier**

0161.16802

**JSTOR**

links.jstor.org

#### Citation

Glasgow, M. O. Note on the Factorial Moments of the Distribution of Locally Maximal Elements in a Random Sample. Ann. Math. Statist. 30 (1959), no. 2, 586--590. doi:10.1214/aoms/1177706273. https://projecteuclid.org/euclid.aoms/1177706273