Set estimation and nonparametric detection

By Amparo Ba ÍLLO, Antonio Cuevas, Ana Justel. 2000

80 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/105ffb0e5fd7ad2bae390161a28dd16f51e2b2a0

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In Statistics and Probability

Citations in the corpus

A Review on Modal Clustering (2016, background): “Further references are Tsybakov (1997), Walther (1997), Cuevas et al. (2000), Baíllo et al. (2000), Baíllo et al. (2001), Baíllo (2003), Rigollet & Vert (2009) and Mason & Polonik (2009), and references therein, which delineate conditions, rates of convergence and further asymptotic results for a…”
Topological Consistency via Kernel Estimation (2014, methodology): “the level sets of density functions have shown to be useful in various applications such as clustering and cluster analysis [25, 26, 41, 53, 54, 63], pattern recognition[24, 32, 40], anomalydetection [6, 27], and econometrics[30, 31, 36, 47] (where recoveringthe support ofa distribution and its boun”
Set estimation under convexity type assumptions (2007, background): “The problem of approximating a compact set S ⊂ Rd from a random sample of points X1, . . . ,Xn taken in S arises in connection with some applications in statistical quality control (Devroye and Wise [8], Baíllo, Cuevas and Justel [2]) clustering (Cuevas, Febrero and Fraiman [4,5]), image analysis (M”
Asymptotic normality of plug-in level set estimates. (2009, background): “Baillo et al. (2000, 2001), Cuevas et al. (2000), Baillo (2003), Baillo and Cuevas (2004)).”
Kernel estimation of density level sets (2005, background): “For example, Devroye and Wise [4], Grenander [5], Cuevas [6], Cuevas and Fraiman [7] and Baíllo, Cuevas and Justel [8] studied the related problem of density support estimation for pattern recognition and for detection of the abnormal behavior of a system.”