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ProbabilisticFoundationsofStatisticalNetworkAnalysis
ProbabilisticFoundationsofStatisticalNetworkAnalysispresentsafreshandinsightfulperspectiveonthefundamentaltenetsandmajorchallengesofmodernnetworkanalysis.Itslucidexpositionprovidesnecessarybackgroundforunderstandingtheessentialideasbehindexchangeableanddynamicnetworkmodels,networksampling,andnetworkstatisticssuchassparsityandpowerlaw,allofwhichplayacentralroleincontemporarydatascienceandmachinelearningapplications.Thebookrewardsreaderswithaclearandintuitiveunderstandingofthesubtleinterplaybetweenbasicprinciplesofstatisticalinference,empiricalpropertiesofnetworkdata,andtechnicalconceptsfromprobabilitytheory.Itsmathematicallyrigorous,yetnon-technical,expositionmakesthebookaccessibletoprofessionaldatascientists,statisticians,andcomputerscientistsaswellaspractitionersandresearchersinsubstantivefields.Newcomersandnon-quantitativeresearcherswillfinditsconceptualapproachinvaluablefordevelopingintuitionabouttechnicalideasfromstatisticsandprobability,whileexpertsandgraduatestudentswillfindthebookahandyreferenceforawiderangeofnewtopics,includingedgeexchangeability,relativeexchangeability,graphonandgraphexmodels,andgraph-valuedLevyprocessandrewiringmodelsfordynamicnetworks.Theauthor’sincisivecommentarysupplementsthesecoreconcepts,challengingthereadertopushbeyondthecurrentlimitationsofthisemergingdiscipline.Withanapproachableexpositionandmorethan50openresearchproblemsandexerciseswithsolutions,thisbookisidealforadvancedundergraduateandgraduatestudentsinterestedinmodernnetworkanalysis,datascience,machinelearning,andstatistics.HarryCraneisAssociateProfessorandCo-DirectoroftheGraduatePrograminStatisticsandBiostatisticsandanAssociateMemberoftheGraduateFacultyinPhilosophyatRutgersUniversity.ProfessorCrane’sresea
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