最后一个子代修正分支随机漫步的最右位置的大偏差

IF 0.5 4区 数学 Q4 STATISTICS & PROBABILITY Electronic Communications in Probability Pub Date : 2021-06-15 DOI:10.1214/22-ECP446
P. P. Ghosh
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引用次数: 2

摘要

在这项工作中,我们考虑了对通常的分支随机游动(BRW)的修改,其中我们在第n代给所有粒子给定一定的独立和同分布(i.i.d.)位移,这可能与驱动增量分布不同。该模型由Bandyopadhyay和Ghosh[2]首次引入,他们将其称为最后一代改良分支随机游动(LPM-BRW)。在非常小的假设下,我们导出了粒子在第n代中最右边位置的大偏差原理(LDP)。作为副产品,我们还完成了经典模型的LDP,这补充了Gantert和Höfelsauer[7]的早期工作。
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Large deviations for the right-most position of a last progeny modified branching random walk
In this work, we consider a modification of the usual Branching Random Walk (BRW) , where we give certain independent and identically distributed (i.i.d.) displacements to all the particles at the n -th generation, which may be different from the driving increment distribution. This model was first introduced by Bandyopadhyay and Ghosh [2] and they termed it as Last Progeny Modified Branching Random Walk (LPM-BRW) . Under very minimal assumptions, we derive the large deviation principle (LDP) for the right-most position of a particle in generation n . As a byproduct, we also complete the LDP for the classical model, which complements the earlier work by Gantert and Höfelsauer [7].
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来源期刊
Electronic Communications in Probability
Electronic Communications in Probability 工程技术-统计学与概率论
CiteScore
1.00
自引率
0.00%
发文量
38
审稿时长
6-12 weeks
期刊介绍: The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.
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