Article
Full entry |
PDF
(1.9 MB)
Feedback
PDF
(1.9 MB)
Feedback
Keywords:
data depth; nonparametric multivariate analysis; strong consistency of depth; mixture of distributions
data depth; nonparametric multivariate analysis; strong consistency of depth; mixture of distributions
Summary:
References:
[1] A. DasGupta, J. K. Ghosh, and M. M. Zen: A new general method for constructing confidence sets in arbitrary dimensions with applications. Ann. Statist. 23 (1995), 1408–1432. MR 1353512
[2] D. Donoho and M. Gasko: Breakdown properties of location estimates based on halfspace depth and projected outlyingness. Ann. Statist. 20 (1992), 1803–1827. MR 1193313
[3] R. Y. Liu: On a notion of data depth based on random simplices. Ann. Statist. 18 (1990), 405–414. MR 1041400 | Zbl 0701.62063
[4] R. Y. Liu, R. Serfling, and D. L. Souvaine (eds.): DIMACS; Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications. American Mathematical Society, Providence RI 2006. MR 2343124
[5] J. Matoušek: Computing the center of planar point sets. In: DIMACS; Discrete and Computational Geometry (J. E. Goodman, R. Pollack, and W. Steiger, eds.). American Mathematical Society, 1992. MR 1143299
[6] I. Mizera: On depth and deep points: a calculus. Ann. Statist. 30 (2002), 1681–1736. MR 1969447 | Zbl 1039.62046
[7] P. Rousseeuw and I. Ruts: Algorithm AS307: bivariate location depth. J. Roy. Statist. Soc.-C 45 (1996), 516–526.
[8] J. Tukey: Mathematics and picturing data. In: Proc. 1975 International Congress of Mathematics, Vol. 2 (1975), pp. 523–531. MR 0426989
[9] S. van de Geer: Empirical Processes and M-Estimates. Cambridge, 2000.
[10] Y. Zuo and R. Serfling: General notion of statistical depth function. Ann. Statist. 28 (2000), 461–482. MR 1790005
[11] Y. Zuo and R. Serfling: Structural properties and convergence results for contours of sample statistical depth functions. Ann. Statist. 28 (2000), 483–499. MR 1790006
Search
Partner of
