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دراسة مقارنة لطرق التقدير الحصينة لدالة البقاء مع تطبيق عملي على مرضى سرطان الدم في اليمن == A Comparative Study of The Robust Estimation Methods of Survival Function With Practical Application On Blood Cancer Patients In Yemen
Author name:
ماجد هبة الله علي شريم
Supervisor name:
هلال عبود البياتي
General topic:
Administration and Economics
Specific topic:
Statistics
Degree:
Doctorate
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T3991 - p.pdf
Abstract:
ان معظم البحوث في موضوع المعولية اودالة البقاء يوجد عليها بعض الماخذ في عملية التحليل الاحصائي الدقيق الذي يهدف الى الحصول على مقدرات ذات مستوى عالي من الكفاءة. وتبرز اهمية الحاجة الى طرائق التقدير الكفوءة هذه التي تسمى بالطرائق الحصينة (Robust Methods) | Most of researches in the subject of reliability contain clear decrease in the processes of accurate statistical analysis which aims at getting estimators of a high level of efficiency and the important of the necessity to many efficient estimation methods, which are called robust methods, appears when the data of the studied phenomenon are contaminated , it means the observations contains outliers which may produce estimators which result in increasing (decreasing) in the (MSE).A matter which leads to unconfirmed statistical inference.From this point was the goal behind this research in reaching robust estimators of the survival function through studying some robust and classical methods and bayes methods in contaminated weibull distribution , and that is by assuming three levels of contamination. namely,(? = 0 , 0.15 ,0.30 ).Also , a robust method proposed to estimate the survival function for contaminated weibull distribution.In this study , the method of simulation was used to compare between the studied estimation methods of all levels of contamination.In this thesis , the researcher concluded the success of the proposed method in estimating the survival function in comparison with other methods depending on the measures : (IMSE) and (IMAPE) so, the researcher specified a chapter for applying and using the proposed method on real data to estimate the survival function s(t).
