Weak convergence of renewal shot noise processes in the case of slowly varying normalization-Reference-Cited by-同舟云学术

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Weak convergence of renewal shot noise processes in the case of slowly varying normalization

Published:2016-07 Issue: Volume:114 Page:67-77
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Iksanov Alexander,Kabluchko Zakhar,Marynych Alexander

Funder

DFG SFB

Alexander von Humboldt Foundation

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference13 articles.

1. Probability and Measure;Billingsley,1986

2. Regular Variation;Bingham,1989

3. Gaussian fluctuations of Young diagrams under the Plancherel measure;Bogachev;Proc. R. Soc. A.,2007

4. Mesoscopic fluctuations of the zeta zeros;Bourgade;Probab. Theory Related Fields,2010

5. Invariance principles for renewal processes;Csörgő;Ann. Probab.,1987

Cited by 6 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. A functional limit theorem for general shot noise processes;Journal of Applied Probability;2020-03

2. A functional limit theorem for random processes with immigration in the case of heavy tails;Modern Stochastics: Theory and Applications;2017-04-12

3. Fractionally integrated inverse stable subordinators;Stochastic Processes and their Applications;2017-01

4. Weak convergence of renewal shot noise processes in the case of slowly varying normalization;Statistics & Probability Letters;2016-07

5. Appendix;Probability and Its Applications;2016

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