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040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aM.Sc
099 _aCai01.18.04.M.Sc.2019.Ib.H
100 0 _aIbrahim Mohamed Ibrahim Mahmoud Taha
245 1 0 _aHandling multicollinearity problem in generalized linear models /
_cIbrahim Mohamed Ibrahim Mahmoud Taha ; Supervised Elhousainy Abdelbar Rady , Mohamed Reda Abonazel
246 1 5 _aمعالجة مشكلة الإزدواج الخطى فى النماذج الخطية المعممة
260 _aCairo :
_bIbrahim Mohamed Ibrahim Mahmoud Taha ,
_c2019
300 _a116 Leaves ;
_c30cm
502 _aThesis (M.Sc.) - Cairo University - Faculty of Graduate Studies for Statistical Research (FSSR) - Department of Statistics and Econometrics
520 _aThe concept of multicollinearity for generalized linear models (GLMs) is discussed and compared to that for standard linear model. Several approaches for detecting multicollinearity are presented and shown to lead to the same diagnostic procedure. These are analyzed for the logistic, Poisson, negative binomial (NB), zero inflated Poisson (ZIP), and zero inflated negative binomial (ZINB) models. Estimation methods using maximum likelihood (ML), ridge, Liu, and Liu-type are presented. The Liu-type (two parameter) estimator is developed as suitable supplement to the ML estimator in case of sever multicollinearity. Simulation study and empirical applications are conducted to evaluate the Liu-type estimator in practice. It is then observed that for the optimal value of the shrinkage parameter along with a particular choice of the ridge parameter, the Liu-type estimator outperforms the ML estimator in terms of mean squared error (MSE) and mean absolute error (MAE) criteria. A Liu-type estimator is introduced for both ZIP and ZINB models. This is done through a simulation experiment and real dataset in which the optimal value of the shrinkage parameter is used
530 _aIssued also as CD
653 4 _aEM algorithm
653 4 _aGeneralized linear models
653 4 _aRidge estimator
700 0 _aElhousainy Abdelbar Rady ,
_eSupervisor
700 0 _aMohamed Reda Abonazel ,
_eSupervisor
856 _uhttp://172.23.153.220/th.pdf
905 _aAsmaa
_eCataloger
905 _aNazla
_eRevisor
942 _2ddc
_cTH
999 _c75097
_d75097