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A number-of-modes reference rule for density estimation under multimodality.

Einbeck, Jochen and Taylor, James (2013) 'A number-of-modes reference rule for density estimation under multimodality.', Statistica Neerlandica., 67 (1). pp. 54-66.


We consider kernel density estimation for univariate distributions. The question of interest is as follows: given that the data analyst has some background knowledge on the modality of the data (for instance, ‘data of this type are usually bimodal’), what is the adequate bandwidth to choose? We answer this question by extending Silverman's idea of ‘normal-reference’ to that of ‘reference to a Gaussian mixture’. The concept is illustrated in the light of real data examples.

Item Type:Article
Keywords:Bandwidth selection, Kernels.
Full text:(AM) Accepted Manuscript
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Publisher statement:The definitive version is available at
Date accepted:No date available
Date deposited:24 January 2014
Date of first online publication:February 2013
Date first made open access:No date available

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