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العنوان
Nonparametric predictive inference for system reliability /
المؤلف
Aboal-Khair, Ahmad Mohammad.
هيئة الاعداد
باحث / أحمد محمد عبدالمنعم رياض أبوالخير
مشرف / فرانك كولين
مشرف / إيان ماكفى
مشرف / ---
الموضوع
Mathematical statistics. Nonparametric statistics. Reliability (Engineering) - Statistical methods.
تاريخ النشر
2012.
عدد الصفحات
98 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الإحصاء والاحتمالات
تاريخ الإجازة
1/1/2012
مكان الإجازة
جامعة المنصورة - كلية التجارة - Mathematical Science
الفهرس
Only 14 pages are availabe for public view

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Abstract

This thesis provides a new method for statistical inference on system reliability on the basis of limited information resulting from component testing. This method is called Nonparametric Predictive Inference (NPI). We present NPI for system reliability, in particular NPI for k-out-of-m systems, and for systems that consist of multiple ki-out-of-mi subsystems in series configuration. The algorithm for optimal redundancy allocation, with additional components added to subsystems one at a time is presented. We also illustrate redundancy allocation for the same system in case the costs of additional components differ per subsystem. Then NPI is presented for system reliability in a similar setting, but with all subsystems consisting of the same single type of component. As a further step in the development of NPI for system reliability, where more general system structures can be considered, nonparametric predictive inference for reliability of voting systems with multiple component types is presented. We start with a single voting system with multiple component types, then we extend to a series configuration of voting subsystems with multiple component types. Throughout this thesis we assume information from tests of nt components of type t.