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العنوان
Statistical inference of the parameters in autoregressive models /
الناشر
Hadia Faried Mohamed Ahmed Azmy ,
المؤلف
Hadia Faried Mohamed Ahmed Azmy
هيئة الاعداد
باحث / Hadia Faried Mohamed Ahmed Azmy
مشرف / Sayed Mesheal Elsayed
مشرف / Ahmed Amin Elsheikh
مشرف / Mohamed Khalifa Ahmed Issa
تاريخ النشر
2019
عدد الصفحات
161 Leaves :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الإحصاء والاحتمالات
تاريخ الإجازة
13/7/2019
مكان الإجازة
جامعة القاهرة - المكتبة المركزية - Applied Statistics and Econometrics
الفهرس
Only 14 pages are availabe for public view

from 180

from 180

Abstract

This thesis aims to introduce the unconditional autoregressive models which had a little attention in theoretical econometric literature, which was the first introduced by Box and Jenkins (1976). In this thesis, the previous studies concerning the estimation methods of AR models will be reviewed and the methods of estimation for the linear models and for the Autoregressive models will be introduced. Furthermore, the different method of AR (1) model without constant will be discussed. In addition, the properties (linearity, biasness and consistency) of the estimators are investigated theoretically. On the other hand, the (ML) method was introduced to estimate the unknown parameters of AR (2) model without constant. Finally, a simulation study has been designed to compare different methods of estimation (UML, UWLS and UWS) for different sample sizes for AR (1) model without constant term, based on the bias and RMSE criteria’s. This simulation study is evaluated for several values of the parameters and different values of the variance and mean error used