GROWING CONDITIONED TREES

被引：33

作者：

CHAUVIN, B

ROUAULT, A

WAKOLBINGER, A

机构：

[1] UNIV PARIS 11,CNRS,UA 743,F-91405 ORSAY,FRANCE

[2] JOHANNES KEPLER UNIV,INST MATH,A-4040 LINZ,AUSTRIA

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1991年 / 39卷 / 01期

关键词：

BRANCHING PARTICLE SYSTEMS; GENEALOGICAL TREES; PALM DISTRIBUTIONS;

D O I：

10.1016/0304-4149(91)90036-C

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：

For a Markovian branching particle system in R(d) a Palm type distribution on the genealogical trees up to a time horizon t is computed, which generically (i.e. if there are almost surely no multiplicities in the particle positions at time t) can be viewed as a conditional distribution on the trees given that the particle system at time t populates a certain site. The result is obtained in two different ways: by conditioning on the first branching and by means of Kallenberg's method of backward trees.

引用

页码：117 / 130

页数：14

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