Some asymptotics for multimodality tests based on kernel density estimates

SummaryA test due to B.W. Silverman for modality of a probability density is based on counting modes of a kernel density estimator, and the idea of critical smoothing. An asymptotic formula is given for the expected number of modes. This, together with other methods, establishes the rate of converge...

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Hauptverfasser: Mammen, Enno (VerfasserIn) , Marron, James Stephen (VerfasserIn) , Fisher, Nicholas I. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1992
In: Probability theory and related fields
Year: 1992, Jahrgang: 91, Heft: 1, Pages: 115-132
ISSN:1432-2064
DOI:10.1007/BF01194493
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1007/BF01194493
Verlag, Volltext: https://link.springer.com/article/10.1007/BF01194493
Verlag, Volltext: https://link.springer.com/content/pdf/10.1007%2FBF01194493.pdf
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Verfasserangaben:E. Mammen, J.S. Marron, N.I. Fisher
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Some asymptotics for multimodality tests based on Kernel density estimates von Mammen, Enno (VerfasserIn) , Marron, James S. (VerfasserIn) , Fisher, N.I. (VerfasserIn) ,


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