Estimatingregressionparametersinthepresenceofextremeinfluentialobservations:AcaseofNigeriaExchangeRate

Alabi, N. O. and Akanbi, Olumuyiwa O. (2022) Estimatingregressionparametersinthepresenceofextremeinfluentialobservations:AcaseofNigeriaExchangeRate. Journal of Econometrics and Statistics, 2 (2). pp. 203-218.

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Abstract

Influentialobservationsindata(bothmultivariateandunivariate)canal-tertheestimatesoftheregressioncoefficientssubjectivelysuchthattheun-derlyingstatisticalrelationshipsparticularlyinaleastsquareestimationarerenderedmeaningless.Ourobjectiveistoexaminetheeffectsofextremein-fluentialobservationsonmodelcoefficientsbycomparingtheclassicalOLSestimatorswiththemorerobustleastsquareofmaximumlikelihood-likeplusscaleestimatorssuchasMM-estimators.Inordertoachievethissetobjective,theauthorspostulatedanexchangerateregressionmodelinthepresenceofextremeinfluentialobservations.Fourmajormacroeconomicvariableswereincludedinthestudyasregressors.Theseregressorscompriseforeignex-ternalreserve,foreigndirectinvestmentinflow,crudeoilpriceandcredittoprivatesector.Theanalysisshowedthatthestandarderrorsandp-valuesofthemodelcoefficientsfortherobustleastsquarearesmallerthantheclassicalOLSmethodlargelyduetodetectionandhandlingoftheinfluentialobser-vations.Furthermore,theforecastvaluesfromtherobustMM-estimationindicatethatthemodelslightlyprovidemorepreciseestimatesthantheOLS.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mr. Bolanle Yisau I.
Date Deposited: 09 Apr 2024 15:20
Last Modified: 09 Apr 2024 15:20
URI: http://eprints.federalpolyilaro.edu.ng/id/eprint/2339

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