Dependent thinning of point processes

Author:

Isham Valerie

Abstract

A point process, N, on the real line, is thinned using a k -dependent Markov sequence of binary variables, and is rescaled. Second-order properties of the thinned process are described when k = 1. For general k, convergence to a compound Poisson process is demonstrated.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference8 articles.

1. Simple Proof of a Result on Thinned Point Processes

2. Rudemo M. (1973) On a random transformation of a point process to a Poisson process. In Mathematics and Statistics: Essays in honour of Harald Bergström, ed. Jagers P. and Råde L. , Göteborg, pp. 79–85.

3. Limits of compound and thinned point processes

4. Stochastic Point Processes: Limit Theorems

5. Limit Theorems for Dissipative Flows

Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Modelling multidecadal variability in flood frequency using the Two-Component Extreme Value distribution;Stochastic Environmental Research and Risk Assessment;2024-04-20

2. Gibbsianness and non-Gibbsianness for Bernoulli lattice fields under removal of isolated sites;Bernoulli;2023-11-01

3. Testing independence between two nonhomogeneous point processes in time;Journal of Statistical Computation and Simulation;2020-07-16

4. An overview of the extremal index;Chaos: An Interdisciplinary Journal of Nonlinear Science;2019-02

5. Performance models for hierarchy of caches: Application to modern DNS caches;Performance Evaluation;2016-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3