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العنوان
Some robust estimators for poisson regression models /
الناشر
Omnia Mohamed Saber Farghaly ,
المؤلف
Omnia Mohamed Saber Farghaly
هيئة الاعداد
باحث / Omnia Mohamed Saber Farghaly
مشرف / Sayed Meshaal Elsayed
مشرف / Mohamed Reda Abonazel
مناقش / Sayed Mesheal Elsayed
مناقش / Amany Mosa
تاريخ النشر
2020
عدد الصفحات
94 Leaves :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الإحصاء والاحتمالات
تاريخ الإجازة
31/1/2020
مكان الإجازة
اتحاد مكتبات الجامعات المصرية - Applied Statistics and Econometrics
الفهرس
Only 14 pages are availabe for public view

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Abstract

The basic Generalized Linear Models (GLM) for count data is the Poisson model, it can be estimated by maximum likelihood (ML). However, in Poisson model when the response variable is a count, its conditional variance increases more rapidly than its mean, producing a condition termed overdispersion and invalidating the use of the Poisson model. Negative binomial (NB) model with dispersion parameter to handle overdispersed count data, the quasi-Poisson model which can be estimated by the method of quasi-likelihood (QL) and other models like Generalized Poisson (GP), Conway-Maxwell Poisson (CMP), and Poisson quasi{u2011}Lindley (PQL). In addition to some methods. The zero inflated Poisson (ZIP) model may be appropriate when there are more zeroes in the data than it is consistent with a Poisson distribution, and also in zero inflated Negative Binomial (ZINB) model.Outliers are one of those statistical issues that everyone knows about, but most people aren{u2019}t sure how to deal with. Most parametric statistics, like means, standard deviations, and correlations, and every statistic based on these, are highly sensitive to outliers. Outliers can really mess up the analysis. It is well known that the ML and QL estimators for these models is very sensitive to outliers. To overcome this problem, several robust estimators for GLM have been proposed