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