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简介：这篇论文与混合未知的比例在二件样品的正常混合物为同质调查修改可能性比率测试(LRT)。修改可能性比率测试的限制分发是χ(1)，这被证明[2]。

简介：Thispaperdealswithestimationandtestproceduresforrestrictedlinearerrors-invariables(EV)modelswithnonignorablemissingcovariates.Wedeveloparestrictedweightedcorrectedleastsquares(WCLS)estimatorbasedonthepropensityscore,whichisfittedbyanexponentiallytiltedlikelihoodmethod.Thelimitingdistributionsoftheproposedestimatorsarediscussedwhentiltedparameterisknownorunknown.Totestthevalidityoftheconstraints,weconstructtwotestproceduresbasedoncorrectedresidualsumofsquaresandempiricallikelihoodmethodandderivetheirasymptoticproperties.Numericalstudiesareconductedtoexaminethefinitesampleperformanceofourproposedmethods.

简介：Hypothesistestingfortheparametriccomponentinthepartiallinearerrors-in-variables(EV)regressionmodelsisdiscussedinthispaper.Basedonthecorrectedprofileleastsquareestimator,fiveteststatisticsareproposedandtheasymptoticnulldistributionsofthemarededuced.Simulationshavebeendonetoshowtheperformanceoftheseteststatisticsundernullandalternativehypothesis.

简介：RecentlyR.S.SinghhasstudiedtheempiricalBayes（EB）estimationinamultiplelinearregressionmodel.InthispaperweconsidertheEBtestofregressioncoefficientβforthismodel.WeworkouttheEBtestdecisionrulebyusingkernelestimationofmultivariatedensityfunctionanditsfirstorderpartialderivatives.Weobtainitsasymptoticallyoptimal（a.o.）propertyundertheconditionE||β||1<∞.ItisshownthattbeconvergenceratesofthisEBtestdecisionruleareO(n-（r-1）λ/p+r)undertheconditionE||β||pr/2-λ<∞.whereanintegerr>l,0

简介：Letfnbeanon-parametrickerneldensityestimatorbasedonakernelfunctionK.andasequenceofindependentandidenticallydistributedrandomvariablestakingvaluesinR.Thegoalofthisarticleistoprovemoderatedeviationsandlargedeviationsforthestatisticsupx∈R|fn(x)-fn(-x)|.

简介：Inthispaper,wedevotetoconstructingtheone-sidedempiricalBayes(EB)testforthelocationparameterintheGammadistributionbynonparametricmethod.Undersomemildconditions,weprovethattheEBtestisasymptoticallyoptimalwiththerateoftheorderO(n-δs/2s+1),where1/2≦δ<1ands>1isagivennaturalnumber.Anexampleisalsogiventoillustratethattheconditionsofthemaintheoremsareeasilysatisfied.

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简介：TheusualF--testhasbeenusedtotestagenerallinearhypothesisforatwo--stageleastsquaresmethodinasystemofeconomicequations.However,wefindthatthisF--testisactuallyasymptoticallyinvalid.Somesuggestionsaregivenfortestingagenerallinearhypothesisinthissituation.