SERIES EXPANSIONS OF PROBABILITY GENERATING-FUNCTIONS AND BOUNDS FOR THE EXTINCTION PROBABILITY OF A BRANCHING-PROCESS

被引：7

作者：

DALEY, DJ ^{[1
]}

NARAYAN, P ^{[1
]}

机构：

[1] MONASH UNIV,DEPT MATH,CLAYTON,VIC 3168,AUSTRALIA

来源：

JOURNAL OF APPLIED PROBABILITY | 1980年 / 17卷 / 04期

关键词：

D O I：

10.2307/3213203

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

页码：939 / 947

页数：9

共 50 条

[1] BOUNDS FOR EXTINCTION PROBABILITY OF A SIMPLE BRANCHING-PROCESS
QUINE, MP
[J]. JOURNAL OF APPLIED PROBABILITY, 1976, 13 (01) : 9 - 16
[2] EXTINCTION PROBABILITY OF A BRANCHING-PROCESS WITH INTERACTION OF PARTICLES
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[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1983, 27 (01) : 201 - 205
[3] ESTIMATION OF PROBABILITY OF EXTINCTION OF A MULTITYPE BRANCHING-PROCESS
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[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1991, 20 (10) : 3405 - 3419
[4] ESTIMATION OF EXTINCTION PROBABILITY IN MARKOV BRANCHING-PROCESS
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[J]. STATISTICS & PROBABILITY LETTERS, 1992, 15 (03) : 173 - 175
[5] ON FRACTIONAL LINEAR BOUNDS FOR PROBABILITY GENERATING-FUNCTIONS
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[J]. JOURNAL OF APPLIED PROBABILITY, 1986, 23 (04) : 904 - 913
[6] ESTIMATION OF EXTINCTION PROBABILITY OF A MULTITYPE MARKOV BRANCHING-PROCESS
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[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1993, 22 (04) : 1195 - 1206
[7] NUMERICAL INVERSION OF PROBABILITY GENERATING-FUNCTIONS
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[J]. OPERATIONS RESEARCH LETTERS, 1992, 12 (04) : 245 - 251
[8] ON GENERATING-FUNCTIONS AND DOUBLE SERIES EXPANSIONS
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SUN, HS
[J]. FIBONACCI QUARTERLY, 1981, 19 (01): : 69 - 73
[9] THE FRACTIONAL LINEAR PROBABILITY GENERATING FUNCTION IN THE RANDOM ENVIRONMENT BRANCHING-PROCESS
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[J]. JOURNAL OF APPLIED PROBABILITY, 1994, 31 (01) : 38 - 47
[10] ASYMPTOTIC-BEHAVIOR OF NON-EXTINCTION PROBABILITY OF A CRITICAL BRANCHING-PROCESS
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[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1977, 22 (01) : 140 - 146

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