اشتراك توزيعي ويبل وتكوين توزيع الباي ويبل == The Participation of Two Weibull Distributions And The Formation of Bi - Weibull Distribution
Author name:
سلام جاسم محمد الساعدي
Supervisor name:
علي عبد الحسين صالح الوكيل
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:
07T3734 - p.pdf
Abstract:
ان الاهتمام الواسع والمتزايد بدراسة موضوع المعولية باعتباره علما يتعامل مع اعمار المعدات ولاسيما احتمالات البقاء ومتوسط الحياة وهذا يعود بالاساس الى التطور التكنولوجي السريع واستخدام الانظمة الالكترونية المعقدة في مختلف المجالات. وعلى هذا الاساس فان در | The wide increasing concern of studying the topic of reliability as a science dealing with equipment ages, especially the survival and life average probabilities rendered to the fast technological development and the utility of complicated electronic systems in various fields. On that basis, the studying the topic of reliability and the connection between the theoretical and applied sides together have a great importance because they are considered the indicator towards stating the extent of efficiency and capacity of the machine and the work system without damages for a long period of time, accordingly, the study of (Weibull Distribution) is a sample of failure functions because this distribution is suitable when failure rates are high relatively at the operating start, then these rates decrease gradually with time increase. Accordingly, the thesis includes mainly a display of a new sample of joint distributions which is known as (Bi - Weibull). This kind of distribution gives more elasticity and more accurate results.Hence, the basic statistical measures and the parameter estimation of (4 - Parameter Bi - Weibull Distribution) were found through (MLE) by using the simulation method (Inverse Formula). In order to reach the research aim, the research is divided into five chapters. Chapter one deals with the topic general backgrounds and function definition including the reliability function. Whereas chapter two is dedicated to expose the methods of estimating the parameters of the (2 - Parameter Weibull Distribution) with displaying the basic statistical measures of (2 and 3 - Parameter Weibull Distributions). As to chapter three, it includes the theoretical side of (Bi - Weibull Distribution) with the exposure of the following three states of this distribution : - (4 - Parameter Bi - Weibull Distribution) - (5 - Parameter Bi - Weibull Distribution) - (6 - Parameter Bi - Weibull Distribution) with their basic statistical measures.Chapter four manifests the research programs and simulation results as well as result analysis. Chapter five includes the conclusions and recommendations the researcher has arrived at
