Search In this Thesis
   Search In this Thesis  
العنوان
Some aspects of estimation of coefficients in seemingly unrelated regression equations SURE /
الناشر
Amal Mohamed Abdelfattah ,
المؤلف
Amal Mohamed Abdelfattah
هيئة الاعداد
باحث / Amal Mohamed Abdelfattah
مشرف / Ghazal Amer
مشرف / Elhoussainy Abdelbar Rady
مشرف / Ghazal Amer
تاريخ النشر
2016
عدد الصفحات
78 Leaves ;
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الإحصاء والاحتمالات
تاريخ الإجازة
20/5/2017
مكان الإجازة
جامعة القاهرة - المكتبة المركزية - Statistics and Econometrics
الفهرس
Only 14 pages are availabe for public view

from 81

from 81

Abstract

Model Estimation is the second step in any statistical analysis. It is very important since all the proceeding steps depend on its efficiency. The most popular estimation technique in linear regression analysis is the least squares method which under certain assumptions results in the family of best linear unbiased estimators. However, if we considered relaxing one of the assumptions to use a model that has broad application in some economic phenomena then it{u2019}s possible to obtain a family of biased estimators which is nonlinear function of observations on the dependent variable and has a smaller mean squared error. The model considered in the present thesis is a set of individual linear multiple regression equations which aren{u2019}t related in the variables but the contemporaneous disturbances associated with at least some equations are correlated with each other. That is, the equations may be linked statistically, even though not structurally, through the jointness of the error terms{u2019} distribution and through the non-diagonality of the associated variance covariance matrix. The model can be estimated equation-by-equation using standard ordinary least squares method (OLS) or jointly using Zellner (1962) method (SURE). The OLS method leads to consistent estimators, however generally not the most efficient estimators compared to as the SURE method. Zellner (1962) used the expression 2seemingly unrelated regression equations (SURE)3 as a way to express the special nature of this model in his study. In 1963, Zellner explored the finite sample properties of these estimators in two-equation regression models