书目

Fractal-BasedPointProcesses

内容简介

AnintegratedapproachtofractalsandpointprocessesThispublicationprovidesacompleteandintegratedpresentationofthefieldsoffractalsandpointprocesses,fromdefinitionsandmeasurestoanalysisandestimation.Theauthorsskillfullydemonstratehowfractal-basedpointprocesses,establishedastheintersectionofthesetwofields,aretremendouslyusefulforrepresentinganddescribingawidevarietyofdiversephenomenainthephysicalandbiologicalsciences.Topicsrangefrominformation-packetarrivalsonacomputernetworktoaction-potentialoccurrencesinaneuralpreparation.Theauthorsbeginwithconcreteandkeyexamplesoffractalsandpointprocesses,followedbyanintroductiontofractalsandchaos.Pointprocessesaredefined,andacollectionofcharacterizingmeasuresarepresented.Withtheconceptsoffractalsandpointprocessesthoroughlyexplored,theauthorsmoveontointegratethetwofieldsofstudy.Mathematicalformulationsforseveralimportantfractal-basedpoint-processfamiliesareprovided,aswellasanexplanationofhowvariousoperationsmodifysuchprocesses.Theauthorsalsoexamineanalysisandestimationtechniquessuitablefortheseprocesses.Finally,computernetworktraffic,animportantapplicationusedtoillustratethevariousapproachesandmodelssetforthinearlierchapters,isdiscussed.Throughoutthepresentation,readersareexposedtoanumberofimportantapplicationsthatareexaminedwiththeaidofasetofpointprocessesdrawnfrombiologicalsignalsandcomputernetworktraffic.Problemsareprovidedattheendofeachchapterallowingreaderstoputtheirnewfoundknowledgeintopractice,andallsolutionsareprovidedinanappendix.AnaccompanyingWebsitefeatureslinkstosupplementarymaterialsandtoolstoassistwithdataanalysisandsimulation.Withitsfocusonapplicationsandnumeroussolvedproblemsets,thisisanexcellentgraduate-leveltextforcoursesinsuchdiversefieldsasstatistics,physics,engineering,computerscience,psychology,andneuroscience.

作者简介

STEVENBRADLEYLOWEN,PHD,isAssistantProfessorofPsychiatryatHarvardMedicalSchoolandisaffiliatedwiththeBrainImagingCenteratMcLeanHospitalinBelmont,Massachusetts.HereceivedaBSdegreefromYaleUniversityandMSandPhDdegreesfromColumbiaUniversity.MALVINCARLTEICH,PHD,isProfessorintheDepartmentsofElectricalandComputerEngineering;BiomedicalEngineering;andPhysicsatBostonUniversity;aswellasProfessorEmeritusatColumbiaUniversity.HereceivedSB,MS,andPhDdegreesfromtheMassachusettsInstituteofTechnology,StanfordUniversity,andCornellUniversity,respectively.

丛书

WileySeriesinProabilityandStatistics

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