Estimation for nearly unit root processes with GARCH errors

(整期优先)网络出版时间:2010-03-13
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InthispaperthelimitingdistributionoftheleastsquareestimatefortheautoregressivecoefficientofanearlyunitrootmodelwithGARCHerrorsisderived.Sincethelimitingdistributiondependsontheunknownvarianceoftheerrors,anempiricallikelihoodratiostatisticisproposedfromwhichconfidenceintervalscanbeconstructedforthenearlyunitrootmodelwithoutknowingthevariance.Togainanintuitivesensefortheempiricallikelihoodratio,asmallsimulationfortheasymptoticdistributionisgiven.