The Annals of Statistics

The Dip Test of Unimodality

J. A. Hartigan and P. M. Hartigan

Full-text: Open access

Abstract

The dip test measures multimodality in a sample by the maximum difference, over all sample points, between the empirical distribution function, and the unimodal distribution function that minimizes that maximum difference. The uniform distribution is the asymptotically least favorable unimodal distribution, and the distribution of the test statistic is determined asymptotically and empirically when sampling from the uniform.

Article information

Source
Ann. Statist. Volume 13, Number 1 (1985), 70-84.

Dates
First available: 12 April 2007

Permanent link to this document
http://projecteuclid.org/euclid.aos/1176346577

JSTOR
links.jstor.org

Digital Object Identifier
doi:10.1214/aos/1176346577

Mathematical Reviews number (MathSciNet)
MR773153

Zentralblatt MATH identifier
0575.62045

Subjects
Primary: 62G05: Estimation
Secondary: 62F05: Asymptotic properties of tests

Keywords
Multimodality isotonic regression empirical distribution

Citation

Hartigan, J. A.; Hartigan, P. M. The Dip Test of Unimodality. The Annals of Statistics 13 (1985), no. 1, 70--84. doi:10.1214/aos/1176346577. http://projecteuclid.org/euclid.aos/1176346577.


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