交换结结物与粉尘的块计数过程的收敛速度

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Alea-Latin American Journal of Probability and Mathematical Statistics Pub Date : 2021-01-01 DOI:10.30757/alea.v18-44

M. Möhle

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引用次数: 5

摘要

对于含尘交换聚结，确定了当样本大小趋于无穷大时，比例块计数过程对单次过程频率的收敛速度。这个速率是用某个伯恩斯坦函数表示的。这些证明是基于无穷小生成和半群的泰勒展开式，并涉及Karlin无限瓮模型中产生的一个特殊的浓度不等式。

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The rate of convergence of the block counting process of exchangeable coalescents with dust

For exchangeable coalescents with dust the rate of convergence as the sample size tends to infinity of the scaled block counting process to the frequency of singleton process is determined. This rate is expressed in terms of a certain Bernstein function. The proofs are based on Taylor expansions of the infinitesimal generators and semigroups and involve a particular concentration inequality arising in the context of Karlin’s infinite urn model.

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来源期刊

Alea-Latin American Journal of Probability and Mathematical Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： ALEA publishes research articles in probability theory, stochastic processes, mathematical statistics, and their applications. It publishes also review articles of subjects which developed considerably in recent years. All articles submitted go through a rigorous refereeing process by peers and are published immediately after accepted. ALEA is an electronic journal of the Latin-american probability and statistical community which provides open access to all of its content and uses only free programs. Authors are allowed to deposit their published article into their institutional repository, freely and with no embargo, as long as they acknowledge the source of the paper. ALEA is affiliated with the Institute of Mathematical Statistics.