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مقارنة طرائق تقدير معالم انموذج ويبل للفشل بثلاثة معالم == Comparing Estimation Methods of Weibull Failure Models With Three Parameters

Author name: فراس صدام عبد الهلالي
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: 07T3946 - p.pdf
Abstract: لقد كان الاهتمام الواسع والمتزايد بدراسة موضوع المعولية، يعود الى التطور التكنولوجي والتقني السريع واستخدام الانظمة الالكترونية المعقدة في مختلف المجالات.وعلى هذا الاساس فان دراسة موضوع المعولية والربط بين الجانبين النظري والتطبيقي امر له اهمية كبيرة، | The rapid and wide significance of the theoretical and practical aspects of reliability is due to the technical and technological advance in using the various intricate electronic systems. In this regard, it is important to study the theoretical and practical sides of reliability and their interrelationship since it is an indication to the proficiency and capability of the system component without deficiencies for a long time. This will lead us to evaluate the operation of the system component for improving and increasing the quantity and quality of these systems in addition to its role in the development of the engineering system.The wiebull distribution is used, as a model for failure since this distribution is proper when the failure rates somewhat high in starting operation. These rates will be decreased with increasing time. Thus, the study deals with the comparison between estimating parameter and reliability function of the three parameters Weibull Distribution as a model for failure. Different Approaches have been used to carry out the research these include : 1. Classical approachesa. Maximum likelihood method. b. Moment method.2. Baysian approachesa. Bayes method.b. Shrinkage method.Comparison was made between the methods of estimation by employing simulation using Monte - Carlo method using the statistical measures (MSE) and (MAPE) to identify the priority of these estimators for different sample sizes. The study is divided into four chapters, Chapter one deals with the theoretical Background of the topic, including the concepts of reliability. Chapter two is a review of the different estimation methods and aspect s of reliability. Chapter three is devoted the practical side of this research and results analysis. Chapter four reveals the conclusions, findings and the recommendations of the study
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