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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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1992
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| In: |
Probability theory and related fields
Year: 1992, Volume: 91, Issue: 1, Pages: 115-132 |
| ISSN: | 1432-2064 |
| DOI: | 10.1007/BF01194493 |
| Online Access: | 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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| Author Notes: | E. Mammen, J.S. Marron, N.I. Fisher |
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