mathematical statistics with applications_20070495110817

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1、ContinuousDistributionsMoment-GeneratingDistributionProbabilityFunctionMeanVarianceFunction2tθtθ1θ1+θ2(θ2?θ1)e2?e1Uniformf(y)=;θ≤y≤θθ?θ12212t(θ?θ)2121
11t2σ2Normalf(y)=√exp?(y?μ)2μσ2expμt+σ2π2σ22?∞0ββ(1?βt)β0

2、∞(y)(v/2)?1e?y/2Chi-squaref(y)=;v2v(1?2t)?v/22v/2(v/2)y2>0
(α+β)α?1β?1ααβBetaf(y)=y(1?y);doesnotexistin(α)(β)α+β(α+β)2(α+β+1)closedform0

3、1?ppetGeometricp(y)=p(1?p)y?1;pp21?(1?p)ety=1,2,...rN?ryn?ynrrN?rN?nHypergeometricp(y)=;nNNNNN?1ny=0,1,...,nifn≤r,y=0,1,...,rifn>rλye?λPoissonp(y)=;λλexp[λ(et?1)]y!y=0,1,2,...
try?1ry?rrr(1?p)peNegativebinomialp(y)=p(1?p);r?1pp21?(1?p)ety=r,r+1,...MATHEMATICALSTATISTICSWITHAPPLIC

4、ATIONSThispageintentionallyleftblankSEVENTHEDITIONMathematicalStatisticswithApplicationsDennisD.WackerlyUniversityofFloridaWilliamMendenhallIIIUniversityofFlorida,EmeritusRichardL.ScheafferUniversityofFlorida,EmeritusAustralia?Brazil?Canada?Mexico?Singapore?SpainUnitedKingdom?UnitedStatesMathem

5、aticalStatisticswithApplications,SeventhEditionDennisD.Wackerly,WilliamMendenhallIII,RichardL.ScheafferStatisticsEditor:CarolynCrockettArtDirector:VernonBoesAssistantEditors:BethGershman,CatieRonquilloPrintBuyer:KarenHuntEditorialAssistant:AshleySummersProductionService:MatrixProductionsInc.Tec

6、hnologyProjectManager:JenniferLiangCopyEditor:BettyDuncanMarketingManager:MandyJellerichsCoverDesigner:ErikAdigard,PatriciaMcShaneMarketingAssistant:AshleyPickeringCoverImage:ErikAdigardMarketingCommunicationsManager:DarleneCoverPrinter:TKAmidon-BrentCompositor:InternationalTypesettingandCompos

7、itionProjectManager,EditorialProduction:HalHumphreyPrinter:TK?2008,2002Duxbury,animprintofThomsonThomsonHigherEducationBrooks/Cole,apartofTheThomsonCorporation.10DavisDriveThomson,theStarlogo,andBrooks/ColearetrademarksBelmont,CA9