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

[1] THE TOPOLOGY OF THE RHO-HAUSDORFF DISTANCE [J].

ATTOUCH, H ;

LUCCHETTI, R ;

WETS, RJB .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1991, 160 :303-320

[2]

ATTOUCH H, 1989, ANAL LINEAIRE, P73

[3] UNIFORMITY IN WEAK CONVERGENCE [J].

BILLINGS.P ;

TOPSOE, F .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1967, 7 (01) :1-&

[4]

Billingsley P, 1968, CONVERGENCE PROBABIL

[5]

KLEIN E, 1986, THEORY CORRES INCLUD

[6] RELATIONS BETWEEN WEAK AND UNIFORM-CONVERGENCE OF MEASURES WITH APPLICATIONS [J].

RAO, RR .

ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (02) :659-&

[7] ON THE CONVERGENCE OF CLOSED-VALUED MEASURABLE MULTIFUNCTIONS [J].

SALINETTI, G ;

WETS, RJB .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 266 (01) :275-289

[8] UNIFORMITY IN CONVERGENCE OF MEASURES [J].

TOPSOE, F .

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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