Free Access
Issue |
ESAIM: PS
Volume 12, April 2008
|
|
---|---|---|
Page(s) | 273 - 307 | |
DOI | https://doi.org/10.1051/ps:2007039 | |
Published online | 08 May 2008 |
- J.A. Adell and P. Jodrá, The median of the Poisson distribution. Metrika 61 3 (2005) 337–346. [CrossRef] [Google Scholar]
- P. Baufays and J.-P. Rasson, A new geometric discriminant rule. Comput. Stat. Q. 2 (1985) 15–30. [Google Scholar]
- P. Billingsley, Convergence of Probability measures. Wiley (1968). [Google Scholar]
- D. Deprins, L. Simar and H. Tulkens, Measuring Labor Efficiency in Post Offices, in The Performance of Public Enterprises: Concepts and Measurements, M. Marchand, P. Pestieau and H. Tulkens Eds., North Holland, Amsterdam (1984). [Google Scholar]
- J.D. Deuschel and D.W. Stroock, Large Deviations. Pure and Applied Mathematics, 137. Boston, MA Academic Press (1989). [Google Scholar]
- L.P. Devroye and G.L. Wise, Detection of abnormal behavior via non parametric estimation of the support. SIAM J. Appl. Math. 38 (1980) 448–480. [Google Scholar]
- A. Dembo and O. Zeitouni, Large Deviations Techniques and Applications. Jones and Bartlett, Boston and London (1993). [Google Scholar]
- L. Gardes, Estimating the support of a Poisson process via the Faber-Schauder basis and extrems values. Publications de l'Institut de Statistique de l'Université de Paris XLVI 43–72 (2002). [Google Scholar]
- J. Geffroy, Sur un problème d'estimation géométrique. Publications de l'Institut de Statistique de l'Université de Paris XIII (1964) 191–200. [Google Scholar]
- I. Gijbels, E. Mammen, B.U. Park and L. Simar, On estimation of monotone and concave frontier functions. J. Amer. Statist. Assoc. 94 (1999) 220–228. [CrossRef] [MathSciNet] [Google Scholar]
- S. Girard and P. Jacob, Projection estimates of point processes boundaries. J. Statist. Planning Inference 116 (2003), 1–15. [Google Scholar]
- S. Girard and P. Jacob, Extreme values and kernel estimates of point processes boundaries. ESAIM: PS 8 (2005) 150–168 . [CrossRef] [EDP Sciences] [Google Scholar]
- S. Girard and L. Menneteau, Central limit theorems for smoothed extreme value estimates of Poisson point processes boundaries. J. Statist. Planning Inference 135 (2005) 433–460. [CrossRef] [Google Scholar]
- S. Girard and L. Menneteau, Smoothed extreme value estimators of non uniform boundaries with applications to star-shaped supports estimation. Submitted. [Google Scholar]
- A. Hardy and J.P. Rasson, Une nouvelle approche des problèmes de classification automatique. Statist. Anal. Données 7 (1982) 41–56. [Google Scholar]
- P. Hall, M. Nussbaum and S.E. Stern, On the estimation of a support curve of indeterminate sharpness. J. Multivariate Anal. 62 (1997) 204–232. [CrossRef] [MathSciNet] [Google Scholar]
- P. Hall, B.U. Park and S.E. Stern, On polynomial estimators of frontiers and boundaries. J. Multivariate Anal. 66 (1998) 71–98. [Google Scholar]
- W. Härdle, Applied nonparametric regression. Cambridge University Press, Cambridge (1990). [Google Scholar]
- W. Härdle, P. Hall and L. Simar, Iterated bootstrap with application to frontier models. J. Productivity Anal. 6 (1995) 63–76. [CrossRef] [Google Scholar]
- W. Härdle, B.U. Park and A.B. Tsybakov, Estimation of a non sharp support boundaries. J. Multivariate Anal. 43 (1995) 205–218. [Google Scholar]
- J.A. Hartigan, Clustering Algorithms. Wiley, Chichester (1975). [Google Scholar]
- W. Kallenberg, Intermediate efficiency theory and examples. Ann. Statist. 11 (1983) 170–182. [CrossRef] [MathSciNet] [Google Scholar]
- W. Kallenberg, On moderate deviation theory in estimation. Ann. Statist. 11 (1983) 498–504. [CrossRef] [MathSciNet] [Google Scholar]
- A.P. Korostelev, L. Simar and A.B. Tsybakov, Efficient estimation of monotone boundaries. Ann. Statist. 23 (1995) 476–489. [CrossRef] [MathSciNet] [Google Scholar]
- A.P. Korostelev and A.B. Tsybakov, Minimax theory of image reconstruction, in Lecture Notes in Statistics 82, Springer-Verlag, New York (1993). [Google Scholar]
- A.P. Korostelev and A.B. Tsybakov, Asymptotic efficiency of the estimation of a convex set. Problems Inform. Transmission 30 (1994) 317–327. [MathSciNet] [Google Scholar]
- E. Mammen and A.B. Tsybakov, Asymptotical minimax recovery of sets with smooth boundaries. Ann. Statist. 23 (1995) 502–524. [Google Scholar]
- L. Menneteau, Limit theorems for piecewise constant kernel smoothed estimates of point process boundaries. Technical Report (2007). [Google Scholar]
- A. Mokkadem and M. Pelletier, Moderate deviations for the kernel mode estimator and some applications. J. Statist. Planning Inference 135 (2005) 276–299. [CrossRef] [Google Scholar]
- V.V. Petrov, Limit theorems of probability theory. Sequences of independent random variables. Oxford Studies in Probability, (1995) 4. [Google Scholar]
- G.R. Shorack and J.A. Wellner, Empirical processes with applications to statistics. Wiley, New York (1986). [Google Scholar]
- G.P. Tolstov, Fourier series. 2nd ed. New York: Dover Publications (1976). [Google Scholar]
- A.B. Tsybakov, On nonparametric estimation of density level sets. Ann. Statist. 25 (1997) 948–969. [Google Scholar]
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