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Lindsay, B.G., Markatou, M., Ray, S., Yang, K. and Chen, S.C. (2008) Quadratic Distances on Probabilities: A Unified Foundation. The Annals of Statistics, 36, 983-1006.
http://dx.doi.org/10.1214/009053607000000956

has been cited by the following article:

• TITLE: Multivariate Modality Inference Using Gaussian Kernel

  AUTHORS: Yansong Cheng, Surajit Ray

  KEYWORDS: Modality, Kernel Density Estimate, Mode, Clustering

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.5, August 25, 2014

  ABSTRACT: The number of modes (also known as modality) of a kernel density estimator (KDE) draws lots of interests and is important in practice. In this paper, we develop an inference framework on the modality of a KDE under multivariate setting using Gaussian kernel. We applied the modal clustering method proposed by [1] for mode hunting. A test statistic and its asymptotic distribution are derived to assess the significance of each mode. The inference procedure is applied on both simulated and real data sets.