Inference on stress-strength reliability from Topp-Leone Distributions
Other Title(s)
الاستدلال حول صلاحية الإجهاد : القوة لتوزيع توب و ليون
Joint Authors
al-Zahrani, Bandar
al-Shamrani, Ali
Source
Journal of King Abdulaziz University : Sciences
Issue
Vol. 24, Issue 1 (30 Jun. 2012), pp.73-88, 16 p.
Publisher
King Abdulaziz University Scientific Publishing Center
Publication Date
2012-06-30
Country of Publication
Saudi Arabia
No. of Pages
16
Main Subjects
Topics
Abstract AR
هدفنا في هذه الدراسة هو تقدير دالة الصلاحية لنموذج الإجهاد - القوة R = P (Y < X) عندما تكون X و Y متغيرين عشوائيين يتبعان توزيع توب و ليون مع اختلاف معالم القياس.
قمنا بدراسة مقدر الإمكان الأكبر R ̂ ل R و أوجدنا الخصائص التقاربية له مع إيجاد فترات ثقة و على افتراض أن معلمة الشكل معروفة سلفا قمنا بدراسة مقدرات الإمكان الأكبر و بيز ل R و أوجدنا أيضا فترات الثقة.
و كمثال توضيحي للنتائج استخدمنا أسلوب المحاكاة.
Abstract EN
Our goal is to estimate the probability R = P (Y < X) when X and Y are independent random variables following Topp-Leone distribution with different scale parameters.
We study the ML estimator R of R, establish its asymptotic properties and construct confidence intervals.
Assuming that the shape parameter is known, we study both the ML and Bayes estimators of R, and find confidence intervals.
Simulation study has been presented for illustrative purposes.
American Psychological Association (APA)
al-Zahrani, Bandar& al-Shamrani, Ali. 2012. Inference on stress-strength reliability from Topp-Leone Distributions. Journal of King Abdulaziz University : Sciences،Vol. 24, no. 1, pp.73-88.
https://search.emarefa.net/detail/BIM-328418
Modern Language Association (MLA)
al-Zahrani, Bandar& al-Shamrani, Ali. Inference on stress-strength reliability from Topp-Leone Distributions. Journal of King Abdulaziz University : Sciences Vol. 24, no. 1 (2012), pp.73-88.
https://search.emarefa.net/detail/BIM-328418
American Medical Association (AMA)
al-Zahrani, Bandar& al-Shamrani, Ali. Inference on stress-strength reliability from Topp-Leone Distributions. Journal of King Abdulaziz University : Sciences. 2012. Vol. 24, no. 1, pp.73-88.
https://search.emarefa.net/detail/BIM-328418
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 87
Record ID
BIM-328418
