BIRTH AND DEATH CHAIN IN A RANDOM ENVIRONMENT - INSTABILITY AND EXTINCTION THEOREMS

被引：13

作者：

TORREZ, WC

机构：

来源：

ANNALS OF PROBABILITY | 1978年 / 6卷 / 06期

关键词：

D O I：

10.1214/aop/1176995391

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：1026 / 1043

页数：18

共 13 条

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[3] BRANCHING PROCESSES WITH RANDOM ENVIRONMENTS, II - LIMIT THEOREMS [J].

ATHREYA, KB ;

KARLIN, S .

ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (06) :1843-+

[4]

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[6] THEORY OF RANDOM EVOLUTIONS WITH APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS [J].

GRIEGO, R ;

HERSH, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 156 (MAY) :405-&

[7] RANDOM EVOLUTIONS MARKOV CHAINS AND SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS [J].

GRIEGO, RJ ;

HERSH, R .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1969, 62 (02) :305-&

[8]

KARLIN S, 1975, 1ST COURSE STOCHASTI

[9]

OREY S, 1971, VAN NOSTRAND MATH ST, V34

[10] NECESSARY CONDITIONS FOR ALMOST SURE EXTINCTION OF A BRANCHING PROCESS WITH RANDOM ENVIRONMENT [J].

SMITH, WL .

ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (06) :2136-&

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