Simple estimation of the mode of a multivariate density

The authors consider an estimate of the mode of a multivariate probability density using a kernel estimate drawn from a random sample. The estimate is defined by maximizing the kernel estimate over the set of sample values. The authors show that this estimate is strongly consistent and give an almos...

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Veröffentlicht in:	Canadian journal of statistics 2003-03, Vol.31 (1), p.23-34
Hauptverfasser:	Abraham, Christophe, Biau, Gérard, Cadre, Benoît
Format:	Artikel
Sprache:	eng
Schlagworte:	Cluster analysis Consistent estimators Convergence Density Density estimation Estimation Kernel estimate Logical proofs Mathematical methods Mode Model testing multivariate probability density Nomographs Probabilities Probability rate of convergence Real numbers Statistical methods Statistical mode Statistics
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