文档介绍：ContinuousDistributionsMoment-GeneratingDistributionProbabilityFunctionMeanVarianceFunction2tθtθ1θ+θ(θ−θ)e2−e1Uniformf(y)=;θ≤y≤θ1221θ−θ12(θ−θ)21212t2111t2σ2Normalf(y)=√exp−(y−µ)2µσ2expµt+σ2π2σ22−∞<y<+∞1f(y)=e−y/β;β>ββ2(−βt)−1Exponentialβ010<y<∞1f(y)=yα−1e−y/βαβαβ2(−βt)−αGamma(α)βα;10<y<∞()(v/2)−1−y/2()=ye;(−)−v/2Chi-squarefyv/v2v12t22(v/2)y2>0(α+β)α−β−ααβBetaf(y)=y1(1−y)1;doesnotexistin(α)(β)α+β(α+β)2(α+β+1)closedform0<y<1DiscreteDistributionsMoment-GeneratingDistributionProbabilityFunctionMeanVarianceFunction()=ny(−)n−y(−)t+(−)nBinomialpyyp1p;npnp1p[pe1p]y=0,1,...,nt−11−ppeGeometricp(y)=p(1−p)y1;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−rrr1ppeNegativebinomialp(y)=−p(1−p);r1pp21−(1−p)ety=r,r+1,...,,EmeritusAustralia•Brazil•Canada•Mexico•Singapore•SpainUnitedKingdom•UnitedStatesMathematicalStatisticswithApplications,,WilliamMendenhallIII,:CarolynCrockettArtDirector:VernonBoesAssistantEditors:BethGershman,CatieRonquilloPrintBuyer:KarenHuntEditorialAssistant:AshleySummersProductionService::JenniferLiangCopyEditor:BettyDuncanMarketingManager:MandyJellerichsCoverDesigner:ErikAdigard,PatriciaMcShaneMarketingAssistant:AshleyPickeringCoverImage:municationsManager:DarleneCoverPrinter:TKAmidon-positor:positionProjectManager,EditorialProduction:HalHumphreyPrinter:TK©2008,2002Duxbury,animprintofThomsonThomsonHigherEducationBrooks/Cole,,theStarlogo,andBrooks/ColearetrademarksBelmont,CA94002-