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March, 1985 The Dip Test of Unimodality
J. A. Hartigan, P. M. Hartigan
Ann. Statist. 13(1): 70-84 (March, 1985). DOI: 10.1214/aos/1176346577


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.


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J. A. Hartigan. P. M. Hartigan. "The Dip Test of Unimodality." Ann. Statist. 13 (1) 70 - 84, March, 1985.


Published: March, 1985
First available in Project Euclid: 12 April 2007

zbMATH: 0575.62045
MathSciNet: MR773153
Digital Object Identifier: 10.1214/aos/1176346577

Primary: 62G05
Secondary: 62F05

Keywords: Empirical distribution , isotonic regression , multimodality

Rights: Copyright © 1985 Institute of Mathematical Statistics

Vol.13 • No. 1 • March, 1985
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