Hybrid fluid modeling approach for performance analysis of P2P live video streaming systems

Kotevski, Zoran; Mitrevski, Pece

doi:10.1007/s12083-013-0205-7

Cited by 3 publications

(1 citation statement)

References 31 publications

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“…For a small sample of recent uses of BE bounds in various areas of sciences and engineering (again for linear statistics), see e.g. [42,58,59,61,118].…”

Section: Introductionmentioning

confidence: 99%

Optimal-order bounds on the rate of convergence to normality in the multivariate delta method

Pinelis¹,

Molzon²

2016

Electron. J. Statist.

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Uniform and nonuniform Berry-Esseen (BE) bounds of optimal orders on the closeness to normality for general abstract nonlinear statistics are given, which are then used to obtain optimal bounds on the rate of convergence in the delta method for vector statistics. Specific applications to Pearson's, non-central Student's and Hotelling's statistics, sphericity test statistics, a regularized canonical correlation, and maximum likelihood estimators (MLEs) are given; all these uniform and nonuniform BE bounds appear to be the first known results of these kinds, except for uniform BE bounds for MLEs. When applied to the well-studied case of the central Student statistic, our general results compare well with known ones in that case, obtained previously by specialized methods. The proofs use a Stein-type method developed by Chen and Shao, a Cramér-type of tilt transform, exponential and Rosenthal-type inequalities for sums of random vectors established by Pinelis, Sakhanenko, and Utev, as well as a number of other, quite recent results motivated by this study. The method allows one to obtain bounds with explicit and rather moderate-size constants, at least as far as the uniform bounds are concerned. For instance, one has the uniform BE bound 3.61 E(Y 6 1 + Z 6 1 ) (1 + σ −3 )/ √ n for the Pearson sample correlation coefficient based on independent identically distributed random pairs

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“…For a small sample of recent uses of BE bounds in various areas of sciences and engineering (again for linear statistics), see e.g. [42,58,59,61,118].…”

Section: Introductionmentioning

confidence: 99%

Optimal-order bounds on the rate of convergence to normality in the multivariate delta method

Pinelis¹,

Molzon²

2016

Electron. J. Statist.

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A comprehensive study of the resource discovery techniques in Peer-to-Peer networks

Navimipour

Milani

2014

Peer-to-Peer Netw. Appl.

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Behavior Reconstruction Models for Large-scale Network Service Systems

Zhang

Liu

Wang

et al. 2018

Peer-to-Peer Netw. Appl.

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In large-scale network service systems, the phenomenon of instantaneous gathering of a large number of users can cause system abnormality, whenever the load imposed by the user behaviors does not match the system load. This paper proposes a behavior reconstruction model for large-scale network service systems integrated with Petri net reconstruction methodology, for the purpose of achieving load balancing in the system under increasing number of users. Based on the features of the user interaction behavior sequence, the behavioral load balancing model defines a user behavior membership function. Then, a random fuzzy Petri net with delay is presented to control the user behavior reconstruction. Experiments conducted by considering various changes in the number of user behaviors and their distribution in unit time demonstrate that the proposed methodology can effectively trigger the reconstructed model to balance the system load when the system load exceeds the defined warning point.

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Hybrid fluid modeling approach for performance analysis of P2P live video streaming systems

Cited by 3 publications

References 31 publications

Optimal-order bounds on the rate of convergence to normality in the multivariate delta method

Optimal-order bounds on the rate of convergence to normality in the multivariate delta method

A comprehensive study of the resource discovery techniques in Peer-to-Peer networks

Behavior Reconstruction Models for Large-scale Network Service Systems

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