统计学完全教程(暨简明概率统计讲义-英文版-匹兹堡大学)

统计学完全教程(暨简明概率统计讲义-英文版-匹兹堡大学)

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时间:2018-12-30

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1、ToIsaPrefaceTakenliterally,thetitle“AllofStatistics”isanexaggeration.Butinspirit,thetitleisapt,asthebookdoescoveramuchbroaderrangeoftopicsthanatypicalintroductorybookonmathematicalstatistics.Thisbookisforpeoplewhowanttolearnprobabilityandstatisticsquickly.Itissu

2、itableforgraduateoradvancedundergraduatestudentsincomputerscience,mathematics,statistics,andrelateddisciplines.Thebookincludesmoderntopicslikenonparametriccurveestimation,bootstrapping,andclas-sification,topicsthatareusuallyrelegatedtofollow-upcourses.Thereaderis

3、presumedtoknowcalculusandalittlelinearalgebra.Nopreviousknowledgeofprobabilityandstatisticsisrequired.Statistics,datamining,andmachinelearningareallconcernedwithcollectingandanalyzingdata.Forsometime,statisticsresearchwascon-ductedinstatisticsdepartmentswhiledat

4、aminingandmachinelearningre-searchwasconductedincomputersciencedepartments.Statisticiansthoughtthatcomputerscientistswerereinventingthewheel.Computerscientiststhoughtthatstatisticaltheorydidn’tapplytotheirproblems.Thingsarechanging.Statisticiansnowrecognizethatc

5、omputerscientistsaremakingnovelcontributionswhilecomputerscientistsnowrecognizethegeneralityofstatisticaltheoryandmethodology.Cleverdataminingalgo-rithmsaremorescalablethanstatisticianseverthoughtpossible.Formalsta-tisticaltheoryismorepervasivethancomputerscient

6、istshadrealized.Studentswhoanalyzedata,orwhoaspiretodevelopnewmethodsforanalyzingdata,shouldbewellgroundedinbasicprobabilityandmathematicalstatistics.Usingfancytoolslikeneuralnets,boosting,andsupportvectorviiiPrefacemachineswithoutunderstandingbasicstatisticsisl

7、ikedoingbrainsurgerybeforeknowinghowtouseaband-aid.Butwherecanstudentslearnbasicprobabilityandstatisticsquickly?Nowhere.Atleast,thatwasmyconclusionwhenmycomputersciencecolleagueskeptaskingme:“WherecanIsendmystudentstogetagoodunderstandingofmodernstatisticsquickl

8、y?”Thetypicalmathematicalstatisticscoursespendstoomuchtimeontediousanduninspiringtopics(countingmethods,twodi-mensionalintegrals,etc.)attheexpenseofcoveringmodernconc

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