Towards Intelligent Modeling: Statistical Approximation Theory

252 Pages·2011·2.22 MB·English

by  George A. Anastassiou

GeorgeA.AnastassiouandOktayDuman
TowardsIntelligentModeling:StatisticalApproximationTheory
IntelligentSystemsReferenceLibrary,Volume14
Editors-in-Chief
Prof.JanuszKacprzyk Prof.LakhmiC.Jain
SystemsResearchInstitute UniversityofSouthAustralia
PolishAcademyofSciences Adelaide
ul.Newelska6 MawsonLakesCampus
01-447Warsaw SouthAustralia5095
Poland Australia
E-mail:[email protected] E-mail:[email protected]
Furthervolumesofthisseriescanbefoundonour
homepage:springer.com
Vol.1.ChristineL.MumfordandLakhmiC.Jain(Eds.) Vol.11.SamuliNiiranenandAndreRibeiro(Eds.)
ComputationalIntelligence:Collaboration,Fusion InformationProcessingandBiologicalSystems,2011
andEmergence,2009 ISBN978-3-642-19620-1
ISBN978-3-642-01798-8
Vol.12.FlorinGorunescu
Vol.2.YuehuiChenandAjithAbraham DataMining,2011
Tree-StructureBasedHybrid ISBN978-3-642-19720-8
ComputationalIntelligence,2009
ISBN978-3-642-04738-1 Vol.13.WitoldPedryczandShyi-MingChen(Eds.)
GranularComputingandIntelligentSystems,2011
Vol.3.AnthonyFinnandSteveScheding ISBN978-3-642-19819-9
DevelopmentsandChallengesfor
AutonomousUnmannedVehicles,2010 Vol.14.GeorgeA.AnastassiouandOktayDuman
ISBN978-3-642-10703-0 TowardsIntelligentModeling:StatisticalApproximation
Theory,2011
Vol.4.LakhmiC.JainandCheePengLim(Eds.) ISBN978-3-642-19825-0
HandbookonDecisionMaking:Techniques
andApplications,2010
ISBN978-3-642-13638-2
Vol.5.GeorgeA.Anastassiou
IntelligentMathematics:ComputationalAnalysis,2010
ISBN978-3-642-17097-3
Vol.6.LudmilaDymowa
SoftComputinginEconomicsandFinance,2011
ISBN978-3-642-17718-7
Vol.7.GerasimosG.Rigatos
ModellingandControlforIntelligentIndustrialSystems,
2011
ISBN978-3-642-17874-0
Vol.8.EdwardH.Y.Lim,JamesN.K.Liu,and
RaymondS.T.Lee
KnowledgeSeeker–OntologyModellingforInformation
SearchandManagement,2011
ISBN978-3-642-17915-0
Vol.9.MenahemFriedmanandAbrahamKandel
CalculusLight,2011
ISBN978-3-642-17847-4
Vol.10.AndreasTolkandLakhmiC.Jain
Intelligence-BasedSystemsEngineering,2011
ISBN978-3-642-17930-3
GeorgeA.Anastassiou and Oktay Duman
Towards Intelligent Modeling:
Statistical Approximation
Theory
123
GeorgeA.Anastassiou OktayDuman
TheUniversityofMemphis TOBBEconomicsandTechnologyUniversity
DepartmentofMathematicalSciences DepartmentofMathematics
Memphis,TN38152 Sögütözü
USA TR-06530,Ankara
E-mail:[email protected] Turkey
ISBN 978-3-642-19825-0 e-ISBN978-3-642-19826-7
DOI 10.1007/978-3-642-19826-7
Intelligent SystemsReference Library ISSN1868-4394
Library of Congress Control Number:2011923549
(cid:2)c 2011 Springer-VerlagBerlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or
partofthematerialisconcerned,specificallytherightsoftranslation,reprinting,
reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in
any other way, and storage in data banks. Duplication of this publication or
parts thereof is permitted only under the provisions of the German Copyright
Law of September 9, 1965, in its current version, and permission for use must
always beobtainedfrom Springer.Violations areliable toprosecution underthe
German Copyright Law.
The use of general descriptive names, registered names, trademarks, etc. in this
publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuch
namesareexemptfromtherelevantprotectivelawsandregulationsandtherefore
free for general use.
Typeset&CoverDesign:ScientificPublishing ServicesPvt. Ltd., Chennai, India.
Printed on acid-free paper
9 8 7 6 5 4 3 2 1
springer.com
Dedicated to Angela, Bahar, Do˘ga, Esra, Koula, Peggy
and also
dedicated to World Peace!

George Anastassiou in Iguazu Falls, Brazil, March 2008.
OktayDuman, Ankara,Turkey,January 2011.