مقارنة بين طرائق تقدير المعولية في حالة الاجهاد والمتانة لانموذجي باريتو وويبل == A Comparison of Approach Estimation Reliability Incase of Stress - Strength For Pareto And Weibull Models
Author name:
مي تحسين عبد الحليم العاني
Supervisor name:
صباح هادي عبود الجاسم
General topic:
Administration and Economics
Specific topic:
Operations Research
Degree:
Master
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T4088 - p.pdf
Abstract:
في هذه الرسالة تم تقدير المعولية في حالة الاجهاد والمتانة لبعض النماذج الاحصائية على فرض ان متغيري الاجهاد والمتانة العشوائيين مستقلان ولهما التوزيع نفسه. ولقد كانت نماذج الاجهاد والمتانة التي تم اخذها بنظر الاعتبار في هذا البحث هي الاتية : اولا : انموذج | In this dissertation, the reliability of the stress and strength has been estimated for some statistical distributions on the assumption that the variable of stress and strength are random and independent and have the same distribution, where is the stress and strength model have been taken under consideration in this research are as follow : 1 - Pareto stress - strength model.2 - Weibull stress - strength model.The methods of estimating the distribution parameters for each model were the maximum likelihood (ML) moment (MOM), least square (LS) and sharing age (Sh) depending on the availability of primary information about the parameters in order to be estimated.In this research a comparison was conducted among the methods mentioned above to estimate the reliability in case of stress and strength the models in order to reach to the best method to estimate the reliability by assigning Monte Carlo simulation approach depending on the two statistical measurement such as the mean square errors (MSE) and mean absolute percentage errors (MAPE) for comparison between the priority of estimators and various sample size (small, medium, large).The researcher which reached to best method is Maximum Likehood Method (ML) to estimate the reliability in case of Pareto stress strength model, and Shrinkag Method (Sh) to estimate the reliability in case of Weibull stress strength Model, that are presented in this dissertation
