A COUNTEREXAMPLE ON THE EXISTENCE OF THE L1-MEDIAN

被引：7

作者：

LEON, CA ^{[1
]}

MASSE, JC ^{[1
]}

机构：

[1] UNIV LAVAL,DEPT MATH & STAT,QUEBEC CITY G1K 7P4,QUEBEC,CANADA

来源：

STATISTICS & PROBABILITY LETTERS | 1992年 / 13卷 / 02期

关键词：

L1-MEDIAN; BANACH SPACE; DUAL SPACE AND REFLEXIVITY; SEPARABLE SPACE; THE SPACE CO;

D O I：

10.1016/0167-7152(92)90085-J

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

On the Banach space of real sequences converging to 0, it is shown that a probability measure may not possess an L1-median inside the space. This puts into better perspective previous results of existence of L1-medians obtained by Valadier and Kemperman.

引用

页码：117 / 120

页数：4

共 9 条

[1]

BROWN BM, 1983, J ROY STAT SOC B MET, V45, P25

[2] ESTIMATING THE CONCENTRATION OF THE LANGEVIN DISTRIBUTION [J].

DUCHARME, GR ;

MILASEVIC, P .

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1990, 18 (02) :163-169

[3] SPATIAL MEDIAN AND DIRECTIONAL-DATA [J].

DUCHARME, GR ;

MILASEVIC, P .

BIOMETRIKA, 1987, 74 (01) :212-215

[4]

GINI G, 1929, METRON, V8, P3

[5]

Gower C.J., 1974, J R STAT SOC C, V23, P466, DOI DOI 10.2307/2347150

[6]

HALDANE JBS, 1948, BIOMETRIKA, V35, P414

[7]

Kemperman J. H. B., 1987, STAT DATA ANAL BASED, P217

[8] A SURVEY OF MULTIDIMENSIONAL MEDIANS [J].

SMALL, CG .

INTERNATIONAL STATISTICAL REVIEW, 1990, 58 (03) :263-277

[9] MEDIAN CONDITIONAL MULTI-APPLICATION [J].

VALADIER, M .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1984, 67 (03) :279-282

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