The Annals of Statistics
- Ann. Statist.
- Volume 13, Number 1 (1985), 70-84.
The Dip Test of Unimodality
J. A. Hartigan and P. M. Hartigan
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 in Project Euclid: 12 April 2007
Permanent link to this document
https://projecteuclid.org/euclid.aos/1176346577
Digital Object Identifier
doi:10.1214/aos/1176346577
Mathematical Reviews number (MathSciNet)
MR773153
Zentralblatt MATH identifier
0575.62045
JSTOR
links.jstor.org
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. Ann. Statist. 13 (1985), no. 1, 70--84. doi:10.1214/aos/1176346577. https://projecteuclid.org/euclid.aos/1176346577
