Reduced processes evolving in a mixed environment

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Stochastic Models Pub Date : 2022-01-01 DOI:10.1080/15326349.2021.2015386

C. Smadi, V. Vatutin

引用次数: 0

Abstract

Abstract We consider a two-type decomposable branching process where type 1 particles may produce particles of types 1 and 2 while type 2 particles can give birth only to type 2 particles. Let i = 1, 2 be the number of type i particles existing in the process at moment m < n and having a positive number of descendants at moment n. Assuming that particles of the first type evolve in a random environment and particles of the second type evolve in a constant environment we investigate the distribution of the random vector when and

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减少了在混合环境中发展的过程

摘要我们考虑一个两类可分解的分支过程，其中1型粒子可以产生1型和2型粒子，而2型粒子只能产生2型粒子。让我 = 1，2是在时刻m存在于过程中的i型颗粒的数量 < n，并且在时刻n具有正数量的子体。假设第一类粒子在随机环境中进化，而第二类粒子在恒定环境中进化。我们研究了当和

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来源期刊

Stochastic Models 数学-统计学与概率论

CiteScore

1.30

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Stochastic Models publishes papers discussing the theory and applications of probability as they arise in the modeling of phenomena in the natural sciences, social sciences and technology. It presents novel contributions to mathematical theory, using structural, analytical, algorithmic or experimental approaches. In an interdisciplinary context, it discusses practical applications of stochastic models to diverse areas such as biology, computer science, telecommunications modeling, inventories and dams, reliability, storage, queueing theory, mathematical finance and operations research.