![](/images/graphics-bg.png)
Deviations for Jumping Times of a Branching Process Indexed by a Poisson Process
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Consider a continuous time process {Yt=ZNt, t≥0}, where {Zn} is a supercritical Galton–Watson process and {Nt} is a Poisson process which is independent of {Zn}.
Let τn be the n-th jumping time of {Yt}, we obtain that the typical rate of growth for {τn} is n/λ, where λ is the intensity of {Nt}.
Probabilities of deviations n-1τn-λ-1>δ are estimated for three types of positive δ.
American Psychological Association (APA)
Zhang, Yanhua& Gao, Zhenlong. 2019. Deviations for Jumping Times of a Branching Process Indexed by a Poisson Process. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1196358
Modern Language Association (MLA)
Zhang, Yanhua& Gao, Zhenlong. Deviations for Jumping Times of a Branching Process Indexed by a Poisson Process. Mathematical Problems in Engineering No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1196358
American Medical Association (AMA)
Zhang, Yanhua& Gao, Zhenlong. Deviations for Jumping Times of a Branching Process Indexed by a Poisson Process. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1196358
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196358