Free Access
Issue |
ESAIM: PS
Volume 17, 2013
|
|
---|---|---|
Page(s) | 236 - 256 | |
DOI | https://doi.org/10.1051/ps/2011161 | |
Published online | 08 February 2013 |
- P. Artzner, F. Delbaen, J.-M. Eber and D. Heath, Coherent measures of risk. Math. Finance 9 (1999) 203–228. [CrossRef] [MathSciNet] [Google Scholar]
- A. Baíllo, Total error in a plug-in estimator of level sets. Statist. Probab. Lett. 65 (2003) 411–417. [CrossRef] [MathSciNet] [Google Scholar]
- A. Baíllo, J.A. Cuesta-Albertos and A. Cuevas, Convergence rates in nonparametric estimation of level sets. Statist. Probab. Lett. 53 (2001) 27–35. [CrossRef] [MathSciNet] [Google Scholar]
- F. Belzunce, A. Castaño, A. Olvera-Cervantes and A. Suárez-Llorens, Quantile curves and dependence structure for bivariate distributions. Comput. Stat. Data Anal. 51 (2007) 5112–5129. [CrossRef] [Google Scholar]
- G. Biau, B. Cadre and B. Pelletier, A graph-based estimator of the number of clusters. ESAIM : PS 11 (2007) 272–280. [Google Scholar]
- P. Billingsley, Probability and measure. Wiley Series in Probability and Mathematical Statistics, 3th edition, John Wiley & Sons Inc., A Wiley-Interscience Publication, New York (1995). [Google Scholar]
- B. Cadre, Kernel estimation of density level sets. J. Multivar. Anal. 97 (2006) 999–1023. [CrossRef] [MathSciNet] [Google Scholar]
- J. Cai and H. Li, Conditional tail expectations for multivariate phase-type distributions. J. Appl. Probab. 42 (2005) 810–825. [CrossRef] [Google Scholar]
- L. Cavalier, Nonparametric estimation of regression level sets. Statistics (Berl. DDR) 29 (1997) 131–160. [CrossRef] [Google Scholar]
- Y.P. Chaubey and P.K. Sen, Smooth estimation of multivariate survival and density functions. J. Statist. Plann. Inference 103 (2002) 361–376; C. R. Rao 80th birthday felicitation volume, Part I. [CrossRef] [MathSciNet] [Google Scholar]
- A. Cuevas and R. Fraiman, A plug-in approach to support estimation. Ann. Stat. 25 (1997) 2300–2312. [CrossRef] [Google Scholar]
- A. Cuevas and A. Rodríguez–Casal, On boundary estimation. Adv. Appl. Probab. 36 (2004) 340–354. [CrossRef] [Google Scholar]
- A. Cuevas, W. González-Manteiga and A. Rodríguez–Casal, Plug-in estimation of general level sets. Australian & New Zealand J. Statist. 48 (2006) 7–19. [Google Scholar]
- L. de Haan and X. Huang, Large quantile estimation in a multivariate setting. J. Multivar. Anal. 53 (1995) 247–263. [CrossRef] [Google Scholar]
- S. Dedu and R. Ciumara, Restricted optimal retention in stop-loss reinsurance under VaR and CTE risk measures. Proc. of Rom. Acad. Ser. A 11 (2010) 213–217. [Google Scholar]
- M. Denuit, J. Dhaene, M. Goovaerts and R. Kaas, Actuarial Theory for Dependent Risks. Wiley, (2005). [Google Scholar]
- P. Embrechts and G. Puccetti, Bounds for functions of multivariate risks. J. Multivar. Anal. 97 (2006) 526–547. [CrossRef] [Google Scholar]
- J.M. Fernández-Ponce and A. Suárez-Lloréns, Central regions for bivariate distributions. Austrian J. Stat. 31 (2002) 141–156. [Google Scholar]
- E.W. Frees and E.A. Valdez, Understanding relationships using copulas. North Amer. Actuar. J. 2 (1998) 1–25. [Google Scholar]
- J.A. Hartigan, Estimation of a convex density contour in two dimensions. J. Amer. Statist. Assoc. 82 (1987) 267–270. [CrossRef] [MathSciNet] [Google Scholar]
- V.I. Koltchinskii, M-estimation, convexity and quantiles. Ann. Statist. 25 (1997) 435–477. [CrossRef] [MathSciNet] [Google Scholar]
- T. Laloë, Sur Quelques Problèmes d’Apprentissage Supervisé et Non Supervisé. Ph.D. thesis, University Montpellier II (2009). [Google Scholar]
- J.-C. Massé and R. Theodorescu, Halfplane trimming for bivariate distributions. J. Multivar. Anal. 48 (1994) 188–202. [Google Scholar]
- G. Nappo and F. Spizzichino, Kendall distributions and level sets in bivariate exchangeable survival models. Inform. Sci. 179 (2009) 2878–2890. [CrossRef] [MathSciNet] [Google Scholar]
- W. Polonik, Measuring mass concentrations and estimating density contour clusters – an excess mass approach. Ann. Stat. 23 (1995) 855–881. [CrossRef] [MathSciNet] [Google Scholar]
- W. Polonik, Minimum volume sets and generalized quantile processes. Stoch. Proc. Appl. 69 (1997) 1–24. [CrossRef] [Google Scholar]
- P. Rigollet and R. Vert, Optimal rates for plug-in estimators of density level sets. Bernoulli. 15 (2009) 1154–1178. [CrossRef] [MathSciNet] [Google Scholar]
- A. Rodríguez–Casal. Estimacíon de conjuntos y sus fronteras. Un enfoque geometrico. Ph.D. thesis, University of Santiago de Compostela (2003). [Google Scholar]
- C. Rossi, Sulle curve di livello di una superficie di ripartizione in due variabili; on level curves of two dimensional distribution function. Giornale dell’Istituto Italiano degli Attuari 36 (1973) 87–108. [Google Scholar]
- C. Rossi, Proprietà geometriche delle superficie di ripartizione. Rend. Mat. (6) 9 (1976) 725–736 (1977). [MathSciNet] [Google Scholar]
- R. Serfling, Quantile functions for multivariate analysis : approaches and applications. Stat. Neerlandica 56 (2002) 214–232 Special issue : Frontier research in theoretical statistics (2000) (Eindhoven). [CrossRef] [Google Scholar]
- L. Tibiletti, On a new notion of multidimensional quantile. Metron 51 (1993) 77–83. [MathSciNet] [Google Scholar]
- A.B. Tsybakov, On nonparametric estimation of density level sets. Ann. Stat. 25 (1997) 948–969. [CrossRef] [MathSciNet] [Google Scholar]
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