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مقارنة بين اسلوب بيز وطريقة الامكان الاعظم لتقدير دالة المعولية للنظام المتسلسل والنظام المتوازي مع تطبيق عملي == A Comparison Between Bayes Approach And Maximum Likelihood Method To Estimate Reliability Function For Series System And Parallel System With Application
Author name:
علي حميد يوسف السراي
Supervisor name:
صباح هادي عبود الجاسم
General topic:
Administration and Economics
Specific topic:
Statistics
Degree:
Master
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T3875 - p.pdf
Abstract:
نتيجة لتطور التقنية العالية والمنافسة الشديدة في القطاع الصناعي فان دراسة المعولية كانت الموضوع لدى الخبراء الاحصائيين بالاضافة الى مهندسو المعولية، لما لها من جانب كبير من الاهمية في حياتنا العملية، وحيث ان معرفة حالات عطل او فشل الانظمة شانه تقليل كلفة | In the theoretical part of this thesis, estimators of reliability function were derived for (series system) and estimators of reliability function for (Parallel system) as well as assumption that the life times of the components form every system is independent and is distributed into exponential distribution with different ` and independent parameters it can be shown as : First : Maximum Likelihood Estimator Second : Bayes Estimator By using squared error loss function and suggested loss function with taking into consideration finding common Prior probability function for random parameters according to researcher Jeffry also density Prior probability that is natural Conjugate that was not discussed in the references of the subject matter of the research. It is very important to refer that the derivation of Bayes estimators to reliability of parallel system were done by the researcher himself for the derivation could not be found in the references of the research which the researcher consulted for making comparison between the suitability of the estimations Monte Carlo stimulation style was used with two statistic measures (MSE) and(MAPE) for determination of the suitable estimator it is concluded that Best estimator by using suggested loss function and Prior density probability function natural Conjugate and so Best estimator using suggested loss function and non informative Prior probability Function.Finally in the practical part of the thesis the results of the theoretical part are wed to estimate reliability of Series System and parallel system in the AL - Kut Texture Factory which is belongs to the general company of texture industry is Wassit
