Fetching the paper…
Reading the bibliography…
We investigate and extend the conformal prediction method due to Vovk,Gammerman and Shafer (2005) to construct nonparametric prediction regions.
[author] Wilks, SamuelS. (1941). Determination of sample sizes for setting tolerance limits. The Annals of Mathematical Statistics 12 91-96
1941
Earlier work this paper cites.
[author] Wald, AbrahamA. (1943). An extension of Wilks method for setting tolerance limits. The Annals of Mathematical Statistics 14 45-55
1943
Earlier work this paper cites.
[author] Tukey, JohnJ. (1947). Nonparametric estimation, II. Statistical equivalent blocks and multivarate tolerance regions. The Annals of Mathematical Statistics 18 529-539
1947
Earlier work this paper cites.
[author] Fraser, D. A. S.D. A. S. and Guttman, IrwinI. (1956). Tolerance regions. The Annals of Mathematical Statistics 27 162-179
1956
Earlier work this paper cites.
[author] Guttman, IrwinI. (1970). Statistical Tolerance Regions: Classical and Bayesian. Griffin, London
1970
Earlier work this paper cites.
[author] Aichison, J.J. and Dunsmore, I. R.I. R. (1975). Statistical Prediction Analysis. Cambridge Univ. Press
1975
Earlier work this paper cites.
[author] Hartigan, JohnJ. (1975). Clustering Algorithms. John Wiley, New York
1975
Earlier work this paper cites.
[author] Chatterjee, Shoutier K.S. K. and Patra, Nishith K.N. K. (1980). Asymptotically minimal multivariate tolerance sets. Calcutta Statist. Assoc. Bull. 29 73-93
1980
Earlier work this paper cites.
[author] Prakasa Rao, B. L. S.B. L. S. (1983). Nonparametric Functional Estimation. Academic Press
1983
Earlier work this paper cites.
[author] Polonik, WolfgangW. (1995). Measuring mass concentrations and estimating density contour clusters - an excess mass approach. The Annals of Statistics 23 855-881
1995
Earlier work this paper cites.
[author] van der Vaart, Aad W.A. W. and Wellner, Jon A.J. A. (1996). Weak Convergence and Empirical Processes. Springer
1996
Earlier work this paper cites.
[author] Tsybakov, AlexandreA. (1997). On nonparametric estimation of density level sets. The Annals of Statistics 25 948-969
1997
Cited alongside, same era.
[author] Liu, ReginaR., Parelius, JesseJ. and Singh, KesarK. (1999). Multivariate analysis by data depth: descriptive statistics, graphics and inference. The Annals of Statistics 27 783-858
1999
Cited alongside, same era.
[author] Loader, CliverC. (1999). Bandwidth selection: classical or plug-in? The Annals of Statistics 27 415-438
1999
Cited alongside, same era.
[author] Baillo, A.A., Cuestas-Alberto, J.J. and Cuevas, A.A. (2001). Convergence rates in nonparametric estimation of level sets. Statistics & Probability Letters 53 27-35
2001
Cited alongside, same era.
[author] Di Bucchianico, AlessandroA., Einmahl, John H.J. H. and Mushkudiani, Nino A.N. A. (2001). Smallest nonparametric tolerance regions. The Annals of Statistics 29 1320-1343
[author] Li, JunJ. and Liu, ReginaR. (2008). Multivariate spacings based on data depth: I. construction of nonparametric multivariate tolerance regions. The Annals of Statistics 36 1299-1323
2008
Later among the works it cites.
[author] Shafer, GlennG. and Vovk, VladimirV. (2008). A tutorial on conformal prediction. Journal of Machine Learning Research 9 371-421
2008
Later among the works it cites.
[author] Cadre, BenoîtB., Pelletier, BrunoB. and Pudlo, PierreP. (2009). Clustering by estimation of density level sets at a fixed probability. manuscript
2009
Later among the works it cites.
[author] Mason, David M.D. M. and Polonik, WolfgangW. (2009). Asymptotic normality of plug-in level set estimates. The Annals of Applied Probability 19 1108-1142
2009
Later among the works it cites.
[author] Rigollet, PhilippeP. and Vert, RégisR. (2009). Optimal rates for plug-in estimators of denslty level sets. Bernoulli 14 1154-1178
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2001
Cited alongside, same era.
[author] Giné, EvaristE. and Guillou, ArmelleA. (2002). Rates of strong uniform consistency for multivariate kernel density estimators. Annales de l’Institut Henri Poincare (B) Probability and Statistics 38 907-921
2002
Cited alongside, same era.
[author] Baillo, A.A. (2003). Total error in a plug-in estimator of level sets. Statistics & Probability Letters 65 411-417
2003
Cited alongside, same era.
[author] Vovk, VladimirV., Gammerman, AlexA. and Shafer, GlennG. (2005). Algorithmic Learning in a Random World. Springer
2005
Cited alongside, same era.
[author] Cadre, BenoîtB. (2006). Kernel estimation of density level sets. Journal of multivariate analysis 97 999-1023
2006
Cited alongside, same era.
2007
Cited alongside, same era.
2009
Later among the works it cites.
[author] Tsybakov, AlexandreA. (2009). Introduction to nonparametric estimation. Springer
2009
Later among the works it cites.
[author] Vovk, VladimirV., Nouretdinov, IliaI. and Gammerman, AlexA. (2009). On-line preditive linear regression. The Annals of Statistics 37 1566-1590
2009
Later among the works it cites.
[author] Rinaldo, AlessandroA. and Wasserman, LarryL. (2010). Generalized density clustering. The Annals of Statistics 38 2678-2722
2010
Later among the works it cites.
[author] Samworth, Richard J.R. J. and Wand, Matt P.M. P. (2010). Asymptotics and optimal bandwidth selection for highest density region estimation. The Annals of Statistics 38 1767-1792
2010
Later among the works it cites.
[author] Mammen, EnnoE., Miranda, María Dolores MartínezM. D. M., Nielsen, Jens PerchJ. P. and Sperlich, StefanS. (2011). Do-Validation for kernel density estimation. Journal of the American Statistical Association 106 651-660
2011
Closest in time.