The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. Baíllo, Amparo; Cuevas, Antonio. Image estimators based on marked bins. Statistics 40 (2006), no. 4, 277--288. MR2263620 (2008c:62023).
  2. Baíllo, Amparo; Cuevas, Antonio; Justel, Ana. Set estimation and nonparametric detection. Canad. J. Statist. 28 (2000), no. 4, 765--782. MR1821433 (2001m:62049).
  3. Beirlant, Jan; Györfi, László; Lugosi, Gábor. On the asymptotic normality of the $Lsb 1$- and $Lsb 2$-errors in histogram density estimation. Canad. J. Statist. 22 (1994), no. 3, 309--318. MR1309318 (95m:62070).
  4. Beirlant, J.; Mason, D. M. On the asymptotic normality of $Lsb p$-norms of empirical functionals. Math. Methods Statist. 4 (1995), no. 1, 1--19. MR1324687 (96e:62047).
  5. Biau, Gérard; Cadre, Benoît; Pelletier, Bruno. Exact rates in density support estimation. J. Multivariate Anal. 99 (2008), no. 10, 2185--2207. MR2463383.
  6. Bredon, Glen E. Topology and geometry. Graduate Texts in Mathematics, 139. Springer-Verlag, New York, 1993. xiv+557 pp. ISBN: 0-387-97926-3 MR1224675 (94d:55001).
  7. Cuevas, Antonio; Fraiman, Ricardo; Rodríguez-Casal, Alberto. A nonparametric approach to the estimation of lengths and surface areas. Ann. Statist. 35 (2007), no. 3, 1031--1051. MR2341697 (2008f:62056).
  8. Cuevas, Antonio; Rodríguez-Casal, Alberto. On boundary estimation. Adv. in Appl. Probab. 36 (2004), no. 2, 340--354. MR2058139 (2005b:62068).
  9. Devroye, Luc; Wise, Gary L. Detection of abnormal behavior via nonparametric estimation of the support. SIAM J. Appl. Math. 38 (1980), no. 3, 480--488. MR0579432 (81k:62050).
  10. Gallot, Sylvestre; Hulin, Dominique; Lafontaine, Jacques. Riemannian geometry. Third edition. Universitext. Springer-Verlag, Berlin, 2004. xvi+322 pp. ISBN: 3-540-20493-8 MR2088027 (2005e:53001).
  11. Giné, Evarist; Mason, David M.; Zaitsev, Andrei Yu. The $Lsb 1$-norm density estimator process. Ann. Probab. 31 (2003), no. 2, 719--768. MR1964947 (2003m:60046).
  12. Gray, Alfred. Tubes. Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1990. xii+283 pp. ISBN: 0-201-15676-8 MR1044996 (92d:53002).
  13. Hall, Peter. Random, nonuniform distribution of line segments on a circle. Stochastic Process. Appl. 18 (1984), no. 2, 239--261. MR0770192 (86h:60020).
  14. Hall, Peter. Three limit theorems for vacancy in multivariate coverage problems. J. Multivariate Anal. 16 (1985), no. 2, 211--236. MR0790601 (86k:60019).
  15. Hall, Peter. Introduction to the theory of coverage processes. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1988. xx+408 pp. ISBN: 0-471-85702-5 MR0973404 (90f:60024).
  16. Härdle, W.; Park, B. U.; Tsybakov, A. B. Estimation of non-sharp support boundaries. J. Multivariate Anal. 55 (1995), no. 2, 205--218. MR1370400 (97b:62054).
  17. Mason, David M.; Polonik, Wolfgang. Asymptotic normality of plug-in level set estimates. Ann. Appl. Probab. 19 (2009), no. 3, 1108--1142. MR2537201.
  18. Molchanov, Ilya S. A limit theorem for solutions of inequalities. Scand. J. Statist. 25 (1998), no. 1, 235--242. MR1614288 (99k:60026).
  19. Shergin, V. V. The central limit theorem for finitely dependent random variables. Probability theory and mathematical statistics, Vol. II (Vilnius, 1989), 424--431, ``Mokslas'' WHERE article_id=Vilnius, 1990. MR1153895 (93c:60027).
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.