Free Access
Issue
ESAIM: PS
Volume 11, February 2007
Special Issue: "Stochastic analysis and mathematical finance" in honor of Nicole El Karoui's 60th birthday
Page(s) 272 - 280
DOI https://doi.org/10.1051/ps:2007019
Published online 19 June 2007
  1. G.E. Bredon, Topology and Geometry, Springer-Verlag, New York, Graduate Texts in Mathematics 139 (1993).
  2. M.R. Brito, E.L. Chavez, A.J. Quiroz and J.E. Yukich, Connectivity of the mutual k-nearest neighbor graph in clustering and outlier detection. Statist. Probab. Lett. 35 (1997) 33–42. [CrossRef] [MathSciNet]
  3. B. Cadre, Kernel estimation of density level sets. J. Multivariate Anal. 97 (2006) 999–1023. [CrossRef] [MathSciNet]
  4. I. Chavel, Riemannian Geometry: A Modern Introduction. Cambridge University Press, Cambridge (1993).
  5. T.H. Cormen, C.E. Leiserson and R.L. Rivest, Introduction to Algorithms. The MIT Press, Cambridge (1990).
  6. A. Cuevas, M. Febrero and R. Fraiman, Estimating the number of clusters. Canad. J. Statist. 28 (2000) 367–382. [CrossRef] [MathSciNet]
  7. A. Cuevas, M. Febrero and R. Fraiman, Cluster analysis: a further approach based on density estimation. Comput. Statist. Data Anal. 36 (2001) 441–459. [CrossRef] [MathSciNet]
  8. L. Devroye and G. Wise, Detection of abnormal behavior via nonparametric estimation of the support. SIAM J. Appl. Math. 38 (1980) 480–488. [CrossRef] [MathSciNet]
  9. R.O. Duda, P.E. Hart and D.G. Stork, Pattern Classification, 2nd edition. Wiley-Interscience, New York (2000).
  10. L. Györfi, M. Kohler, A. Krzyżak and H. Walk, A Distribution-Free Theory of Nonparametric Regression. Springer-Verlag, New York (2002).
  11. J.A. Hartigan, Clustering Algorithms. John Wiley, New York (1975).
  12. T. Hastie, R. Tibshirani and J. Friedman, The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer, New York (2001).
  13. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I & II, 2nd edition. Wiley, New York (1996).
  14. U. von Luxburg and S. Ben-David, Towards a statistical theory of clustering. PASCAL Workshop on Statistics and Optimization of Clustering (2005).
  15. M.D. Penrose, A strong law for the longest edge of the minimal spanning tree. Ann. Probab. 27 (1999) 246–260. [CrossRef] [MathSciNet]
  16. A. Polonik, Measuring mass concentrations and estimating density contour clusters–an excess mass approach. Ann. Statist. 23 (1995) 855–881. [CrossRef] [MathSciNet]
  17. B.L.S. Prakasa Rao, Nonparametric Functional Estimation. Academic Press, Orlando (1983).
  18. A.B. Tsybakov, On nonparametric estimation of density level sets. Ann. Statist. 25 (1997) 948–969. [CrossRef] [MathSciNet]

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