The Annals of Mathematical Statistics
- Ann. Math. Statist.
- Volume 28, Number 3 (1957), 786-790.
The Distribution of the Number of Locally Maximal Elements in a Random Sample
T. Austin, R. Fagen, T. Lehrer, and W. Penney
Abstract
The distribution of the number of different locally maximal elements in a random sample is found, where the sampling is from a continuous population of real numbers. This distribution has application in certain nonparametric tests; the problem of finding the distribution may be regarded as identical with the enumeration of permutations according to the number of distinct locally maximal elements.
Article information
Source
Ann. Math. Statist., Volume 28, Number 3 (1957), 786-790.
Dates
First available in Project Euclid: 27 April 2007
Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177706893
Digital Object Identifier
doi:10.1214/aoms/1177706893
Mathematical Reviews number (MathSciNet)
MR91251
Zentralblatt MATH identifier
0078.01001
JSTOR
links.jstor.org
Citation
Austin, T.; Fagen, R.; Lehrer, T.; Penney, W. The Distribution of the Number of Locally Maximal Elements in a Random Sample. Ann. Math. Statist. 28 (1957), no. 3, 786--790. doi:10.1214/aoms/1177706893. https://projecteuclid.org/euclid.aoms/1177706893
