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بعض طرائق تقدير معلمات دالة المعولية لنموذج احتمالي مركب مع تطبيق عملي == Some Methods of Estimation Parameter Reliability Function of The Probability Model Compound With Practical Application
Author name:
مهدي علي عبد الحسين الدريعي
Supervisor name:
تهاني مهدي عباس الياسري
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:
07T4078 - p.pdf
Abstract:
تعد التوزيعات الاحتمالية المركبة من التوزيعات الاحصائية التي كسبت اهمية متميزة في العقود الاخيرة وذلك لتطبيقاتها الواسعة في المجالات الهندسية والصناعية والتجارب الطبية والبايلوجية وبناء على ذلك فقد تم استعمال انموذج احتمالي مركب (الاسي - ويبل) ذي الثلاث | The probability distributions compound is important statistical distributions which gained importance and wide in recent decades, to the importance of their use in scientific fields, and at the Advanced has been addressed in this letter to the probabilistic compound model (exponential - Weibull) with three parameters and characteristics enjoyed by such possibility Writing probability density function and cumulative function and reliability function was used four different methods of estimating 1 - Maximum Likelihood Estimators Method2 - Percentiles Estimators Method3 - Least squares method4 - Weighted least squares methodAnd a favorable comparison between these estimators using simulation style through several experiences of one of the main users of statistical standards which is the mean squer error It was reached that the best way to estimate the reliability function is the Maximum Likelihood Estimators Method for having the lowest mean squer error.Or in the practical side it has conducted a practical application to real data taken from the State Company for Textile Industries in Wasit, which is for times of failure for machines textile department and assess the sample sized 101 machines communtiy 450 machines function of reliability with the use destined reached by a researcher at the experimental side, a Maximum Likelihood Estimators Method, and through the results turned out to estimate reliability function decreases gradually increase the time.
