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مقارنة طرائق تقدير دالة المعولية للتوزيع الاسي الخليط مع تطبيق عملي == Comprastion Between Methots Estimator Reliability Function of Of A Mixture Exponential Distribution With A Practical Application
Author name:
خضر نصيف جاسم البياتي
Supervisor name:
عبد المجيد حمزة الناصر
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:
07T3605 - p.pdf
Abstract:
ان الاهتمام المتزايد في دراسة نماذج الفشل جاء نتيجة للدور الذي تضطلع به نظريه المعوليه ودالة الاخفاق بالتعامل مع الاعمار لدراسة ومعرفه سلوك اوقات الفشل في الزمن اللاحق, وتعتبر المعولية احد المقاييس للتعبيرعن اداء اي مفرد او نظام لفترة قادمة لذلك تعد المعو | Reliability theory and Hazard function have played a great role in the rapid interest in the study of failure models. These theories deal with the study of ages to investigate and study the behavior failure time at posterior time. Reliability theory is one of those standards that show the performances of any unite for an expected period of time. It is also considered an indicator for future planning.Accordingly, reliability theory is adopted to study and analyze behavior of failures and the factors behind such failures. To achieve this, the parameter estimators of failure models, with good prosperities and efficiency, are required to count the reliability estimation. Therefore, it is of keen significance to study the methods and techniques for getting the parameter estimators of failure including the parameter estimations of a mixture failure model. These estimations have a great role in reproducing complex cases of non - homogeneous populations. Like the importance of the normal distribution for biological studies, the exponential model is considered of a great significance for the study of failure models.The study aims to estimate the reliability function by employing various methods to estimate the model parameter exponential mixture. To achieve this objective, this study is divided into four chapters. Chapter I shows the introduction and the literature review. Chapter II defines some key concepts of the topic; it also presents the theoretical framework for the employed methods of estimation for a number of parameter estimator method’s complete sample of a mixture of two exponential distributions with different two parameter and percentage p. them of normal school such as Maximum likelihood method estimator and symbolizes her short (ML) and the method of moments and symbolized short (MO) and the least squares method and symbolizes her short(LS) and the least squares weighted and symbolized short (WL) and propose application Bayesian Method using (Lindley' s approximation) of this mixture distribution as not used in Iraq (by informed researcher) and study the behavior of a function failure rate for this distribution using expression w(t) which is also taught for the first time in Iraq, according to the informed researcher. Chapter III is divided into two sections. The first section includes the application of imitation style for generating data and performing a sample application based on the theoretical background. The second section reports about a field work on one of the public institutions for electrical industry. Chapter IV shows the results and conclusion of this study. It also suggests some recommendations for future research.
