Motivatedbythedoubleautoregressivemodelwithorderp(DAR(p)model),inthispaper,westudythemovingaveragemodelwithanalternativeGARCHerror.ThemodelisanextensionfromDAR(p)modelbylettingtheorderpgoestoinfinity.Thequasimaximumlikelihoodestimatoroftheparametersinthemodelisshowntobeasymptoticallynormal,withoutanystrongmomentconditions.Simulationresultsconfirmthatourestimatorsperformwell.WealsoapplyourmodeltostudyarealdatasetandithasbetterfittingperformancecomparedtoDARmodelfortheconsidereddata.
