UNIFORM-CONVERGENCE OF PROBABILITY-MEASURES - TOPOLOGICAL CRITERIA

被引：12

作者：

LUCCHETTI, R ^{[1
]}

SALINETTI, G ^{[1
]}

WETS, RJB ^{[1
]}

机构：

[1] UNIV ROMA LA SAPIENZA,I-00100 ROME,ITALY

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 1994年 / 51卷 / 02期

关键词：

NARROW; (WEAK; WEAK-ASTERISK); CONVERGENCE; GLIVENKO-CANTELLI LEMMA;

D O I：

10.1006/jmva.1994.1061

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：

Uniform convergence of probability measures is analyzed by topologizing the space of events. A new characterization of narrow (weak) convergence of probability measures on Polish space is also obtained. (C) 1994 Academic Press, Inc.

引用

页码：252 / 264

页数：13

共 11 条

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LUCCHETTI, R
WETS, RJB
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RAO, RR
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (02): : 659 - &
[7] ON THE CONVERGENCE OF CLOSED-VALUED MEASURABLE MULTIFUNCTIONS
SALINETTI, G
WETS, RJB
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 266 (01) : 275 - 289
[8] UNIFORMITY IN CONVERGENCE OF MEASURES
TOPSOE, F
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1977, 39 (01): : 1 - 30
[9] VERVAAT W, 1988, MSR8801 CTR WISK INF
[10] VOLLE M, 1986, THESIS U PAU

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