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A Study on Random Sum Statistics: Application to Wireless Network Performance Analysis

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Date Issued:
2007
Summary:
The statistics of random sum is studied and used to evaluate performance metrics in wireless networks. Pertinent wireless network performance measures such as call completion/dropping probabilities and the average number of handovers usually require the probability distributions of the cell dwell time and call holding time; and are therefore not easy to evaluate. The proposed performance evaluation technique requires the moments of the cell dwell time and is given in terms of the Laplace transform function of the call holding time. Multimedia services that have Weibull and generalized gamma distributed call holding times are investigated. The proposed approximation method uses the compound geometric random sum distribution and requires that the geometric parameter be very small. For applications in which this parameter is not sufficiently small, a result is derived that improves the accuracy (to order of the geometric parameter) of the performance measures evaluated.
Title: A Study on Random Sum Statistics: Application to Wireless Network Performance Analysis.
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Name(s): Pattaramalai, Suwat
Aalo, Valentine A., Thesis advisor
Florida Atlantic University, Degree grantor
College of Engineering and Computer Science
Department of Computer and Electrical Engineering and Computer Science
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Date Created: 2007
Date Issued: 2007
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 198 p.
Language(s): English
Summary: The statistics of random sum is studied and used to evaluate performance metrics in wireless networks. Pertinent wireless network performance measures such as call completion/dropping probabilities and the average number of handovers usually require the probability distributions of the cell dwell time and call holding time; and are therefore not easy to evaluate. The proposed performance evaluation technique requires the moments of the cell dwell time and is given in terms of the Laplace transform function of the call holding time. Multimedia services that have Weibull and generalized gamma distributed call holding times are investigated. The proposed approximation method uses the compound geometric random sum distribution and requires that the geometric parameter be very small. For applications in which this parameter is not sufficiently small, a result is derived that improves the accuracy (to order of the geometric parameter) of the performance measures evaluated.
Identifier: FA00012575 (IID)
Degree granted: Dissertation (Ph.D.)--Florida Atlantic University, 2007.
Collection: FAU Electronic Theses and Dissertations Collection
Note(s): College of Engineering and Computer Science
Subject(s): Mobile communication systems--Technological innovations
Computer network protocols
Local area networks (Computer networks)
Differentiable dynamical systems
Held by: Florida Atlantic University Libraries
Sublocation: Digital Library
Persistent Link to This Record: http://purl.flvc.org/fau/fd/FA00012575
Use and Reproduction: Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Owner Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.