-
1
-
-
0000640338
-
Mathematics and picturing of data
-
Vancouver
-
J.W. Tukey, Mathematics and picturing of data, Proc. Int. Congr. Math., Vancouver 2 (1975), pp. 523-531.
-
(1975)
Proc. Int. Congr. Math
, vol.2
, pp. 523-531
-
-
Tukey, J.W.1
-
2
-
-
0024121465
-
On a notion of simplicial depth
-
R. Y. Liu, On a notion of simplicial depth, Proc. Natl. Acad. Sci. 85 (1988), pp. 1732-1734.
-
(1988)
Proc. Natl. Acad. Sci
, vol.85
, pp. 1732-1734
-
-
Liu, R.Y.1
-
3
-
-
0001767349
-
On a notion of data depth based on random simplices
-
R. Y. Liu, On a notion of data depth based on random simplices, Ann. Statist. 18 (1990), pp. 405-414.
-
(1990)
Ann. Statist
, vol.18
, pp. 405-414
-
-
Liu, R.Y.1
-
4
-
-
55849140264
-
-
1 -Statistical Analysis and Related Methods, Y. Dodge, ed., North-Holland, Amsterdam, 1992, pp. 279-294.
-
1 -Statistical Analysis and Related Methods, Y. Dodge, ed., North-Holland, Amsterdam, 1992, pp. 279-294.
-
-
-
-
5
-
-
0034347419
-
General notions of statistical depth function
-
Y. Zuo and R. Serfling, General notions of statistical depth function, Ann. Statist. 28 (2000), pp. 461-482.
-
(2000)
Ann. Statist
, vol.28
, pp. 461-482
-
-
Zuo, Y.1
Serfling, R.2
-
6
-
-
0034347414
-
Structural properties and convergence results for contours of sample statistical depth functions
-
Y. Zuo and R. Serfling, Structural properties and convergence results for contours of sample statistical depth functions, Ann. Statist. 28 (2000), pp. 483-499.
-
(2000)
Ann. Statist
, vol.28
, pp. 483-499
-
-
Zuo, Y.1
Serfling, R.2
-
7
-
-
0242428127
-
Projection-based depth functions and associated medians
-
Y. Zuo, Projection-based depth functions and associated medians, Ann. Statist. 31 (2003), pp. 1460-1490.
-
(2003)
Ann. Statist
, vol.31
, pp. 1460-1490
-
-
Zuo, Y.1
-
8
-
-
0034652134
-
1-median and associated data depth
-
1-median and associated data depth, Proc. Natl. Acad. Sci. 97 (2000), pp. 1423-1426.
-
(2000)
Proc. Natl. Acad. Sci
, vol.97
, pp. 1423-1426
-
-
Vardi, Y.1
Zhang, C.2
-
9
-
-
0036335213
-
Some extensions of Tukey's depth function
-
J. Zhang, Some extensions of Tukey's depth function, J. Multivar. Anal. 82 (2002), pp. 134-165.
-
(2002)
J. Multivar. Anal
, vol.82
, pp. 134-165
-
-
Zhang, J.1
-
11
-
-
84950646761
-
The influence curve and its role in robust estimation
-
F.R. Hampel, The influence curve and its role in robust estimation, J. Am. Statist. Assoc. 69 (1974), pp. 383-393.
-
(1974)
J. Am. Statist. Assoc
, vol.69
, pp. 383-393
-
-
Hampel, F.R.1
-
12
-
-
0042740400
-
Influence function of halfspaee depth
-
M. Romanazzi, Influence function of halfspaee depth, J. Multivar. Anal. 77 (2001), pp. 138-161.
-
(2001)
J. Multivar. Anal
, vol.77
, pp. 138-161
-
-
Romanazzi, M.1
-
13
-
-
33644678116
-
Influence functions for a general class of depth-based generalized quantile functions
-
J. Wang and R. Serfling, Influence functions for a general class of depth-based generalized quantile functions, J. Multivar. Anal. 97 (2006), pp. 810-826.
-
(2006)
J. Multivar. Anal
, vol.97
, pp. 810-826
-
-
Wang, J.1
Serfling, R.2
-
14
-
-
18444367857
-
-
Y. Zuo, H. Cui, and D. Young, Influence function an maximum bias of projection depth based on estimators, Ann. Statist. 32 (2004), pp. 189-218.
-
Y. Zuo, H. Cui, and D. Young, Influence function an maximum bias of projection depth based on estimators, Ann. Statist. 32 (2004), pp. 189-218.
-
-
-
-
15
-
-
0033147626
-
Multivariate analysis by data depth: Descriptive statistics, graphics and inference (with discussion)
-
R.Y. Liu, J.M. Parelius, and K. Singh, Multivariate analysis by data depth: descriptive statistics, graphics and inference (with discussion). Ann. Statist. 27 (1997), pp. 783-858.
-
(1997)
Ann. Statist
, vol.27
, pp. 783-858
-
-
Liu, R.Y.1
Parelius, J.M.2
Singh, K.3
-
16
-
-
0348123393
-
On the Stahel-Donoho estimator and depth-weighted means of multivariate data
-
Y. Zuo, H. Cui, and X. He, On the Stahel-Donoho estimator and depth-weighted means of multivariate data, Ann. Statist. 32 (2004), pp. 167-188.
-
(2004)
Ann. Statist
, vol.32
, pp. 167-188
-
-
Zuo, Y.1
Cui, H.2
He, X.3
-
17
-
-
0003841907
-
-
Wiley, New York
-
F.R. Hampel, E.M. Ronchetti, P.J. Rousseeuw, and W.A. Stahel, Robust Statistics: The Approach Basedon Influence Functions, Wiley, New York, 1986.
-
(1986)
Robust Statistics: The Approach Basedon Influence Functions
-
-
Hampel, F.R.1
Ronchetti, E.M.2
Rousseeuw, P.J.3
Stahel, W.A.4
-
20
-
-
0030540155
-
On a geometric notion of quantiles for multivariate data
-
P. Chaudhuri, On a geometric notion of quantiles for multivariate data, J. Am. Statist. Assoc. 91 (1996), pp. 1038-1044.
-
(1996)
J. Am. Statist. Assoc
, vol.91
, pp. 1038-1044
-
-
Chaudhuri, P.1
-
21
-
-
2142736121
-
A depth function and a scale curve based on spatial quantiles
-
Y. Dodge, ed, Birkhaeuser
-
R. Serfling, A depth function and a scale curve based on spatial quantiles, in Statistical Data Analysis Based on the L1-Norm and Related Methods, Y. Dodge, ed., Birkhaeuser, 2002, pp. 25-28.
-
(2002)
Statistical Data Analysis Based on the L1-Norm and Related Methods
, pp. 25-28
-
-
Serfling, R.1
-
22
-
-
2142656338
-
Nonparametric multivariate descriptive measures based on spatial quantiles
-
R. Serfling, Nonparametric multivariate descriptive measures based on spatial quantiles, J. Statist. Plan. Infer. 123 (2004), pp. 259-278.
-
(2004)
J. Statist. Plan. Infer
, vol.123
, pp. 259-278
-
-
Serfling, R.1
-
23
-
-
0000356499
-
A survey- of multidimensional medians
-
C.G. Small, A survey- of multidimensional medians, Int. Statist. Rev. 58 (1990), pp. 263-277.
-
(1990)
Int. Statist. Rev
, vol.58
, pp. 263-277
-
-
Small, C.G.1
-
24
-
-
0031493777
-
M-estimation, convexity and quantiles
-
V.I. Koltchinskii, M-estimation, convexity and quantiles, Ann. Statist. 25 (1997), pp. 435-477.
-
(1997)
Ann. Statist
, vol.25
, pp. 435-477
-
-
Koltchinskii, V.I.1
-
25
-
-
38249011060
-
Limit theorem for the simplicial depth
-
L. Dümbgen, Limit theorem for the simplicial depth, Statist. Probab. Lett. 14 (1992), pp. 119-128.
-
(1992)
Statist. Probab. Lett
, vol.14
, pp. 119-128
-
-
Dümbgen, L.1
-
26
-
-
0001666999
-
Limit theorems for U-processes
-
M.A. Arcones and E. Giné, Limit theorems for U-processes, Ann. Prob. 21 (1993), pp. 1494-1542.
-
(1993)
Ann. Prob
, vol.21
, pp. 1494-1542
-
-
Arcones, M.A.1
Giné, E.2
-
27
-
-
0347129577
-
Data depth based on spatial rank
-
Y. Gao, Data depth based on spatial rank, Statist. Probab. Lett. 65 (2003), pp. 217-225.
-
(2003)
Statist. Probab. Lett
, vol.65
, pp. 217-225
-
-
Gao, Y.1
-
28
-
-
0344133271
-
The behavior of the Stahel-Donoho robust multivaraite estimator
-
R. Maronna and V. Yohai, The behavior of the Stahel-Donoho robust multivaraite estimator, J. Am. Statist. Assoc. 90(1995), pp. 330-343.
-
(1995)
J. Am. Statist. Assoc
, vol.90
, pp. 330-343
-
-
Maronna, R.1
Yohai, V.2
-
29
-
-
0037114404
-
The influence function of the Stahel-Donoho estimator of multivariate location and scatter
-
D. Gervini, The influence function of the Stahel-Donoho estimator of multivariate location and scatter, Statist. Probab. Lett. 60 (2002), pp. 425-435.
-
(2002)
Statist. Probab. Lett
, vol.60
, pp. 425-435
-
-
Gervini, D.1
-
30
-
-
0542377060
-
Constructing the bivariate Tukey median
-
P.J. Rousseeuw and I. Ruts, Constructing the bivariate Tukey median, Statist. Sinica 8 (1998), pp. 828-839.
-
(1998)
Statist. Sinica
, vol.8
, pp. 828-839
-
-
Rousseeuw, P.J.1
Ruts, I.2
|