## The Annals of Mathematical Statistics

### Approximate Upper Percentage Points for Extreme Values in Multinomial Sampling

Robert M. Kozelka

#### Abstract

Given a $k$-fold multinomial distribution with equal probability for each category, the probability of the largest frequency in any category is desired. A simple asymptotic approximation to the upper percentage points of this distribution is obtained. A table of .95 and .99 points of the approximation for $k = 1(1)25$, and a table comparing these with actual values for $k = 3, 4, 5$ and $n = 3(1)12$, are provided. An investigation of the moment problem is given.

#### Article information

Source
Ann. Math. Statist., Volume 27, Number 2 (1956), 507-512.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177728273

Digital Object Identifier
doi:10.1214/aoms/1177728273

Mathematical Reviews number (MathSciNet)
MR78626

Zentralblatt MATH identifier
0071.13404

JSTOR
links.jstor.org

#### Citation

Kozelka, Robert M. Approximate Upper Percentage Points for Extreme Values in Multinomial Sampling. Ann. Math. Statist. 27 (1956), no. 2, 507--512. doi:10.1214/aoms/1177728273. https://projecteuclid.org/euclid.aoms/1177728273