SOME APPLICATIONS OF THE STEIN-CHEN METHOD FOR PROVING POISSON CONVERGENCE

被引:35
作者
BARBOUR, AD [1 ]
HOLST, L [1 ]
机构
[1] UPPSALA UNIV,DEPT MATH,S-75238 UPPSALA,SWEDEN
关键词
D O I
10.2307/1427198
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
引用
收藏
页码:74 / 90
页数:17
相关论文
共 18 条
[1]  
ARRATIA R, 1989, ANN PROB, V17
[2]   ON THE RATE OF POISSON CONVERGENCE [J].
BARBOUR, AD ;
HALL, P .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1984, 95 (MAY) :473-480
[3]   POISSON APPROXIMATION FOR SOME STATISTICS BASED ON EXCHANGEABLE TRIALS [J].
BARBOUR, AD ;
EAGLESON, GK .
ADVANCES IN APPLIED PROBABILITY, 1983, 15 (03) :585-600
[4]   NON-SEXIST SOLUTION OF THE MENAGE PROBLEM [J].
BOGART, KP ;
DOYLE, PG .
AMERICAN MATHEMATICAL MONTHLY, 1986, 93 (07) :514-519
[5]   POISSON APPROXIMATION FOR DEPENDENT TRIALS [J].
CHEN, LHY .
ANNALS OF PROBABILITY, 1975, 3 (03) :534-545
[6]   APPROXIMATION THEOREM FOR SUMS OF CERTAIN RANDOMLY SELECTED INDICATORS [J].
CHEN, LHY .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1975, 33 (01) :69-74
[7]  
Feller W., 1968, INTRO PROBABILITY TH, VI
[8]   ON THE RANDOM-COVERAGE OF THE CIRCLE [J].
HOLST, L ;
HUSLER, J .
JOURNAL OF APPLIED PROBABILITY, 1984, 21 (03) :558-566
[9]   RATES OF POISSON CONVERGENCE FOR SOME COVERAGE AND URN PROBLEMS USING COUPLING [J].
HOLST, L ;
KENNEDY, JE ;
QUINE, MP .
JOURNAL OF APPLIED PROBABILITY, 1988, 25 (04) :717-724
[10]  
HOLST L, 1980, SCAND J STAT, V7, P139