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تقدير دالة المعوليـة لتوزيع لوغارتيم الطبيعي مع تطبيق عملي == Estimate of Reliability Function For Lognormal Distribution With Practical Application
Author name:
بلسم مصطفى شفيق النائب
Supervisor name:
صباح هادي عبود الجاسم | فرحان اسماعيل العاني
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:
07T3503 - p.pdf
Abstract:
لقد كان الاهتمام الواسع والمتزايد في دراسة موضوع المعولية في السنوات الاخيرة يعود الى التطور التكنولوجـي والتقني السريـع واستخدام الانظمـة الالكترونية المعقـدة في مختلف المجالات. وعليه فان دراسة موضوع المعولية والربط بين الجانبين النظري والتطبيقي امر له | The studies of the subject - matter of Reliability with connecting between theoretical and application sides , it is an important matter now a days because the technology development with using electronic systems.In this study it is used the Lognormal Distribution as a failure models when the failure rate to these models initially increases over time and then decreases approaching Zero with increasing time , and find out the estimators of reliability function by different methods.The estimates are : 1. Maximum Likelihood Estimation.2. Uniformly Minimum Variance Unbiased Estimator.3. Bayes Estimation.And then comparing between the priorities of the estimates through using the Monte - Carlo method and conducting several experiments using Mean Square Error.Generally result show that Maximum Likelihood Estimation to estimate Reliability is better than the other methods , Regarding the practical aspect the data of life time for four machines from EIGC and found after using chi - Square test that the life time for test machines distribute Lognormal and the estimation of Reliability function for machines done using Maximum Likelihood Method
