简介：Theauthorconsidersthelife-spanofclassicalsolutionstoCauchyproblemforgeneralfirstorderquasilinearstrictlyhyperbolicsystemsintwoindependentvariableswith"slow"decayinitialdata.Byconstructinganexample,firstitisillustratedthattheclassicalsolutiontothiskindofCauchyproblemmayblowupinafinitetime,evenifthesystemisweaklylinearlydegenerate.Thensomelowerboundsofthelife-spanofclassicalsolutionsaregiveninthecasethatthesystemisweaklylinearlydegenerate.Theseestimatesimplythat,whenthesystemisweaklylinearlydegenerate,theclassicalsolutionexistsalmostgloballyintime.Finally,itisprovedthatTheorems1.1-1.3in[2]arestillvalidforthiskindofinitialdata.

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简介：Theauthorsstudytheempiricallikelihoodmethodforpartiallylinearerrors-in-variablesmodelwithcovariatedatamissingatrandom.Empiricallikelihoodratiosfortheregressioncoefficientsandthebaselinefunctionareinvestigated,andthecorrespondingempiricallog-likelihoodratiosareprovedtobeasymptoticallystandardchi-squared,whichcanbeusedtoconstructconfidenceregions.Thefinitesamplebehavioroftheproposedmethodsisevaluatedbyasimulationstudywhichindicatesthattheproposedmethodsarecomparableintermsofcoverageprobabilitiesandaveragelengthofconfidenceintervals.Finally,theEarthquakeMagnitudedatasetisusedtoillustrateourproposedmethod.

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简介：Undersomemildconditions,wederivetheasymptoticnormalityoftheNadaraya-Watsonandlocallinearestimatorsoftheconditionalhazardfunctionforleft-truncatedanddependentdata.TheestimatorswereproposedbyLiangandOuld-Sai'd[1].TheresultsconfirmtheguessinLiangandOuld-Said[1].

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