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Yanhua Zhang

Bio: Yanhua Zhang is an academic researcher from Qufu Normal University. The author has contributed to research in topics: Poisson distribution & Limit (mathematics). The author has an hindex of 1, co-authored 1 publications receiving 10 citations.

Papers
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Journal ArticleDOI
TL;DR: A law of large numbers, central limit theorem, and large and moderate deviation principles for log ZNt are shown.
Abstract: Let {Zn, n = 0, 1, 2, . . .} be a supercritical branching process, {Nt, t ≥ 0} be a Poisson process independent of {Zn, n = 0, 1, 2, . . .}, then {ZNt, t ≥ 0} is a supercritical Poisson random indexed branching process. We show a law of large numbers, central limit theorem, and large and moderate deviation principles for log ZNt.

10 citations


Cited by
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Journal ArticleDOI
TL;DR: This work improves the traditional ICF approach by integrating the locality-sensitive hashing (LSH) technique, to realize secure and reliable data publishing and shows that ICFLSH performs better than the competitive approaches in terms of service recommendation accuracy, efficiency, and the capability of privacy-preservation.
Abstract: Item-based collaborative filtering (i.e., ICF) technique has been widely recruited to make service recommendations in the big data environment. However, the ICF technique only performs well when the data for service recommendation decision-making are stored in a physically centralized manner, while they often fail to recommend appropriate services to a target user in the distributed environment where the involved multiple parties are reluctant to release their data to each other due to privacy concerns. Considering this drawback, we improve the traditional ICF approach by integrating the locality-sensitive hashing (LSH) technique, to realize secure and reliable data publishing. Furthermore, through integrating the published data with little privacy across different platforms, appropriate services are recommended based on our suggested recommendation approach named ICF LSH . At last, simulated experiments are conducted on WS-DREAM data set. Experiment results show that ICF LSH performs better than the competitive approaches in terms of service recommendation accuracy, efficiency, and the capability of privacy-preservation.

33 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigate an averaging principle for multi-valued stochastic differential equations (MSDEs) driven by Poisson point processes and show that the solutions to MSDEs driven by point processes can be approximated by solutions to averaged SDEs in the sense of both convergence in mean square and convergence in probability.
Abstract: The purpose of this article is to investigate an averaging principle for multi-valued stochastic differential equations (MSDEs) driven by Poisson point processes. The solutions to MSDEs driven by Poisson point processes can be approximated by solutions to averaged MSDEs in the sense of both convergence in mean square and convergence in probability. Finally, an example is presented to illustrate the averaging principle.

12 citations

Journal ArticleDOI
07 Dec 2017-PLOS ONE
TL;DR: It is proved that Poisson noises can induce synchronization and sufficient conditions are established to achieve complete synchronization with probability 1.0 based on the stability theory of stochastic differential equations driven by Poisson process.
Abstract: The different Poisson noise-induced complete synchronization of the global coupled dynamical network is investigated. Based on the stability theory of stochastic differential equations driven by Poisson process, we can prove that Poisson noises can induce synchronization and sufficient conditions are established to achieve complete synchronization with probability 1. Furthermore, numerical examples are provided to show the agreement between theoretical and numerical analysis.

8 citations

Journal ArticleDOI
TL;DR: In this paper, the large and moderate deviations for a renewal randomly indexed branching process (ZNt) were derived, where Zn is a Galton-Watson process and Nt is a renewal process which is independent of Zn.

7 citations

Journal ArticleDOI
TL;DR: In this paper, the authors consider a Galton-Watson process and an independent Poisson process and show the large deviation results for P (Z N t ≤ e c t ) and P ( Z N t ≥ e c T ).

6 citations