-
1
-
-
0036643723
-
Relationships between maximum depth and projection regression estimates
-
ADROVER, J., MARONNA, R. and YOHAI, V. (2000). Relationships between maximum depth and projection regression estimates. J. Statist. Plann. Inference. 105 363-375.
-
(2000)
J. Statist. Plann. Inference.
, vol.105
, pp. 363-375
-
-
Adrover, J.1
Maronna, R.2
Yohai, V.3
-
2
-
-
0034418360
-
Regression depth and center points
-
AMENTA, N., BERN, M., EPPSTEIN, D. and TENG, S.-H. (2000). Regression depth and center points. Discrete Comput. Geom. 23 305-323.
-
(2000)
Discrete Comput. Geom.
, vol.23
, pp. 305-323
-
-
Amenta, N.1
Bern, M.2
Eppstein, D.3
Teng, S.-H.4
-
3
-
-
0033212388
-
Asymptotic distributions of the maximal depth estimators for regression and multivariate location
-
BAI, Z.-D. and HE, X. (1999). Asymptotic distributions of the maximal depth estimators for regression and multivariate location. Ann. Statist. 27 1616-1637.
-
(1999)
Ann. Statist.
, vol.27
, pp. 1616-1637
-
-
Bai, Z.-D.1
He, X.2
-
4
-
-
0040649589
-
The closeness of the range of a probability on a certain system of random events - An elementary proof
-
BALEK, V. and MIZERA, I. (1997). The closeness of the range of a probability on a certain system of random events - an elementary proof. Bull. Belg. Math. Soc. Simon Stevin 4 621-624.
-
(1997)
Bull. Belg. Math. Soc. Simon Stevin
, vol.4
, pp. 621-624
-
-
Balek, V.1
Mizera, I.2
-
6
-
-
0043115373
-
Uniform convergence of probability measures on classes of functions
-
BICKEL, P. J. and MILLAR, P. W. (1992). Uniform convergence of probability measures on classes of functions. Statist. Sinica 2 1-15.
-
(1992)
Statist. Sinica
, vol.2
, pp. 1-15
-
-
Bickel, P.J.1
Millar, P.W.2
-
10
-
-
0002115987
-
Topological methods in the fixed-point theory of multi-valued maps
-
BORISOVICH, Y. G., GEL'MAN, B. D., MYSHKIS, A. D. and OBUKHOVSKII, V. V. (1980). Topological methods in the fixed-point theory of multi-valued maps. Uspekhi Mat. Nauk 35 59-126. [Translation (1980) Russian Math. Surveys 35 65-143.]
-
(1980)
Uspekhi Mat. Nauk
, vol.35
, pp. 59-126
-
-
Borisovich, Y.G.1
Gel'Man, B.D.2
Myshkis, A.D.3
Obukhovskii, V.V.4
-
11
-
-
0042113433
-
-
BORISOVICH, Y. G., GEL'MAN, B. D., MYSHKIS, A. D. and OBUKHOVSKII, V. V. (1980). Topological methods in the fixed-point theory of multi-valued maps. Uspekhi Mat. Nauk 35 59-126. [Translation (1980) Russian Math. Surveys 35 65-143.]
-
(1980)
Russian Math. Surveys
, vol.35
, pp. 65-143
-
-
-
12
-
-
0010093025
-
Multivalued mappings
-
Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow (in Russian)
-
BORISOVICH, Y. G., GEL'MAN, B. D., MYSHKIS, A. D. and OBUKHOVSKII, V. V. (1982). Multivalued mappings. In Mathematical Analysis 19 127-230. Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow (in Russian).
-
(1982)
Mathematical Analysis
, vol.19
, pp. 127-230
-
-
Borisovich, Y.G.1
Gel'Man, B.D.2
Myshkis, A.D.3
Obukhovskii, V.V.4
-
13
-
-
0000297156
-
On 64%-majority rule
-
CAPLIN, A. and NALEBUFF, B. (1988). On 64%-majority rule. Econometrica 56 787-814.
-
(1988)
Econometrica
, vol.56
, pp. 787-814
-
-
Caplin, A.1
Nalebuff, B.2
-
14
-
-
0002255720
-
Aggregation and social choice: A mean voter theorem
-
CAPLIN, A. and NALEBUFF, B. (1991a). Aggregation and social choice: A mean voter theorem. Econometrica 59 1-23.
-
(1991)
Econometrica
, vol.59
, pp. 1-23
-
-
Caplin, A.1
Nalebuff, B.2
-
15
-
-
0002361049
-
Aggregation and imperfect competition: On the existence of equilibrium
-
CAPLIN, A. and NALEBUFF, B. (1991b). Aggregation and imperfect competition: On the existence of equilibrium. Econometrica 59 25-59.
-
(1991)
Econometrica
, vol.59
, pp. 25-59
-
-
Caplin, A.1
Nalebuff, B.2
-
16
-
-
0002092440
-
A characterization of halfspace depth
-
CARRIZOSA, E. (1996). A characterization of halfspace depth. J. Multivariate Anal 58 21-26.
-
(1996)
J. Multivariate Anal
, vol.58
, pp. 21-26
-
-
Carrizosa, E.1
-
17
-
-
0011325917
-
Approximation of set-valued functions and fixed point theorems
-
CELLINA, A. (1969). Approximation of set-valued functions and fixed point theorems. Ann. Mat. Pura Appl. 82 17-24.
-
(1969)
Ann. Mat. Pura Appl.
, vol.82
, pp. 17-24
-
-
Cellina, A.1
-
19
-
-
0008981348
-
A distribution-free test for regression parameters
-
DANIELS, H. E. (1954). A distribution-free test for regression parameters. Ann. Math. Statist. 25 499-513.
-
(1954)
Ann. Math. Statist.
, vol.25
, pp. 499-513
-
-
Daniels, H.E.1
-
20
-
-
21344492930
-
Aspects of robust linear regression
-
DAVIES, P. L. (1993). Aspects of robust linear regression. Ann. Statist. 21 1843-1899.
-
(1993)
Ann. Statist.
, vol.21
, pp. 1843-1899
-
-
Davies, P.L.1
-
22
-
-
0001597702
-
Breakdown properties of location estimates based on halfspace depth and projected outlyingness
-
DONOHO, D. L. and GASKO, M. (1992). Breakdown properties of location estimates based on halfspace depth and projected outlyingness. Ann. Statist. 20 1803-1827.
-
(1992)
Ann. Statist.
, vol.20
, pp. 1803-1827
-
-
Donoho, D.L.1
Gasko, M.2
-
25
-
-
0041612548
-
On a new method of reducing observations relating to several quantities
-
EDGEWORTH, F. Y. (1888). On a new method of reducing observations relating to several quantities. Philosophical Magazine 25 184-191.
-
(1888)
Philosophical Magazine
, vol.25
, pp. 184-191
-
-
Edgeworth, F.Y.1
-
27
-
-
0002376706
-
Asymptotics of the deepest line
-
S. E. Ahmed, M. Ahsanullah and B. K. Sinha, eds. Nova Science Publications, Commack, NY
-
HE, X. and PORTNOY, S. (1998). Asymptotics of the deepest line. In Applied Statistical Science III: Papers in Honor of A. K. Md. E. Saleh (S. E. Ahmed, M. Ahsanullah and B. K. Sinha, eds.) 71-81. Nova Science Publications, Commack, NY.
-
(1998)
Applied Statistical Science III: Papers in Honor of A. K. Md. E. Saleh
, pp. 71-81
-
-
He, X.1
Portnoy, S.2
-
28
-
-
0031519463
-
Convergence of depth contours for multivariate datasets
-
HE, X. and WANG, G. (1997). Convergence of depth contours for multivariate datasets. Ann. Statist. 25 495-504.
-
(1997)
Ann. Statist.
, vol.25
, pp. 495-504
-
-
He, X.1
Wang, G.2
-
29
-
-
0042614532
-
A relationship between Hodges' bivariate sign test and a non-parametric test of Daniels
-
HILL, B. M. (1960). A relationship between Hodges' bivariate sign test and a non-parametric test of Daniels. Ann. Math. Statist. 31 1190-1192.
-
(1960)
Ann. Math. Statist.
, vol.31
, pp. 1190-1192
-
-
Hill, B.M.1
-
30
-
-
0001016811
-
A bivariate sign test
-
HODGES, J. L., JR. (1955). A bivariate sign test. Ann. Math. Statist. 26 523-527.
-
(1955)
Ann. Math. Statist.
, vol.26
, pp. 523-527
-
-
Hodges J.L., Jr.1
-
31
-
-
0002860654
-
Stability in competition
-
HOTELLING, H. (1929). Stability in competition. Econom. J. 39 41-57.
-
(1929)
Econom. J.
, vol.39
, pp. 41-57
-
-
Hotelling, H.1
-
32
-
-
0043115377
-
Similarities between location depth and regression depth
-
L. Fernholz, S. Morgenthaler and W. Stahel, eds. Birkhäuser, Basel
-
HUBERT, M., ROUSSEEUW, P. J. and VAN AELST, S. (1999). Similarities between location depth and regression depth. In Statistics in Genetics and in the Environmental Sciences (L. Fernholz, S. Morgenthaler and W. Stahel, eds.) 159-172. Birkhäuser, Basel.
-
(1999)
Statistics in Genetics and in the Environmental Sciences
, pp. 159-172
-
-
Hubert, M.1
Rousseeuw, P.J.2
Van Aelst, S.3
-
34
-
-
0033147626
-
Multivariate analysis by data depth: Descriptive statistics, graphics and inference
-
LIU, R. Y., PARELIUS, J. M. and SINGH, K. (1999). Multivariate analysis by data depth: Descriptive statistics, graphics and inference. Ann. Statist. 27 783-840.
-
(1999)
Ann. Statist.
, vol.27
, pp. 783-840
-
-
Liu, R.Y.1
Parelius, J.M.2
Singh, K.3
-
35
-
-
0040598406
-
A quality index based on data depth and multivariate rank tests
-
LIU, R. Y. and SINGH, K. (1993). A quality index based on data depth and multivariate rank tests. J. Amer. Statist. Assoc. 88 252-260.
-
(1993)
J. Amer. Statist. Assoc.
, vol.88
, pp. 252-260
-
-
Liu, R.Y.1
Singh, K.2
-
36
-
-
0013018464
-
On depth and deep points: A calculus
-
MIZERA, I. (1998). On depth and deep points: A calculus (abstract). IMS Bull. 27 207.
-
(1998)
IMS Bull.
, vol.27
, pp. 207
-
-
Mizera, I.1
-
37
-
-
84963063078
-
On an invariant of plane regions and mass distributions
-
NEUMANN, B. H. (1945). On an invariant of plane regions and mass distributions. J. London Math. Soc. 20 226-237.
-
(1945)
J. London Math. Soc.
, vol.20
, pp. 226-237
-
-
Neumann, B.H.1
-
39
-
-
38249010534
-
Asymptotics for multivariate trimming
-
NOLAN, D. (1992). Asymptotics for multivariate trimming. Stochastic Process. Appl. 42 157-169.
-
(1992)
Stochastic Process. Appl.
, vol.42
, pp. 157-169
-
-
Nolan, D.1
-
40
-
-
0033565080
-
On min-max majority and deepest points
-
NOLAN, D. (1999). On min-max majority and deepest points. Statist. Probab. Lett. 43 325-333.
-
(1999)
Statist. Probab. Lett.
, vol.43
, pp. 325-333
-
-
Nolan, D.1
-
42
-
-
35348893043
-
Seven kinds of convexity
-
PONSTEIN, J. (1967). Seven kinds of convexity. SIAM Rev. 9 115-119.
-
(1967)
SIAM Rev.
, vol.9
, pp. 115-119
-
-
Ponstein, J.1
-
43
-
-
85011170599
-
Comment on "regression depth," by P. J. Rousseeuw and M. Hubert
-
PORTNOY, S. and MIZERA, I. (1999). Comment on "Regression depth," by P. J. Rousseeuw and M. Hubert. J. Amer. Statist. Assoc. 94 417-419.
-
(1999)
J. Amer. Statist. Assoc.
, vol.94
, pp. 417-419
-
-
Portnoy, S.1
Mizera, I.2
-
44
-
-
84962994033
-
A theorem on general measure
-
RADO, R. (1946). A theorem on general measure. J. London Math. Soc. 21 291-300.
-
(1946)
J. London Math. Soc.
, vol.21
, pp. 291-300
-
-
Rado, R.1
-
48
-
-
0033433937
-
Depth in an arrangement of hyperplanes
-
ROUSSEEUW, P. J. and HUBERT, M. (1999b). Depth in an arrangement of hyperplanes. Discrete Comput Geom. 22 167-176.
-
(1999)
Discrete Comput Geom.
, vol.22
, pp. 167-176
-
-
Rousseeuw, P.J.1
Hubert, M.2
-
49
-
-
0003104281
-
Global analysis and economics I: Pareto optimum and a generalization of Morse theory
-
M. M. Peixoto, ed. Academic Press, New York
-
SMALE, S. (1973). Global analysis and economics I: Pareto optimum and a generalization of Morse theory. In Dynamical Systems. Proc. Symposium Univ. Bahia, Salvador (M. M. Peixoto, ed.) 531-544. Academic Press, New York.
-
(1973)
Dynamical Systems. Proc. Symposium Univ. Bahia, Salvador
, pp. 531-544
-
-
Smale, S.1
-
50
-
-
0001477350
-
Sufficient conditions for an optimum
-
Springer, Berlin
-
SMALE, S. (1975a). Sufficient conditions for an optimum. Dynamical Systems. Lecture Notes in Math. 468 287-292. Springer, Berlin.
-
(1975)
Dynamical Systems. Lecture Notes in Math.
, vol.468
, pp. 287-292
-
-
Smale, S.1
-
53
-
-
0000640338
-
Mathematics and the picturing of data
-
Canad. Math. Congress, Montreal
-
TUKEY, J. W. (1975). Mathematics and the picturing of data. In Proc. International Congress of Mathematicians 2 523-531. Canad. Math. Congress, Montreal.
-
(1975)
Proc. International Congress of Mathematicians
, vol.2
, pp. 523-531
-
-
Tukey, J.W.1
-
55
-
-
0036251468
-
The deepest regression method
-
VAN AELST, S., ROUSSEEUW, P. J., HUBERT, M. and STRUYF, A. (2001). The deepest regression method. J. Multivariate Anal. 81 138-166.
-
(2001)
J. Multivariate Anal.
, vol.81
, pp. 138-166
-
-
Van Aelst, S.1
Rousseeuw, P.J.2
Hubert, M.3
Struyf, A.4
-
56
-
-
0003125847
-
On local Pareto optima
-
WAN, Y. H. (1975). On local Pareto optima. J. Math. Econom. 2 35-42.
-
(1975)
J. Math. Econom.
, vol.2
, pp. 35-42
-
-
Wan, Y.H.1
-
57
-
-
0042614528
-
On the structure and stability of local Pareto optima in a pure exchange economy
-
WAN, Y. H. (1978). On the structure and stability of local Pareto optima in a pure exchange economy. J. Math. Econom. 5 255-274.
-
(1978)
J. Math. Econom.
, vol.5
, pp. 255-274
-
-
Wan, Y.H.1
|