Estimation of the parameters of the bivariate kumaraswamy lifetime distribution under censoring / Ola Alsayed Mohamed Hussin Abuelamayem ; Supervised Hanan M. Aly , Hiba Z. Muhammed
Material type: TextLanguage: English Publication details: Cairo : Ola Alsayed Mohamed Hussin Abuelamayem , 2016Description: 99 P. : charts ; 25cmOther title:- تقدير معالم توزيع كوماراسوامي الثنائي في ظل عينات المراقبة [Added title page title]
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Thesis | قاعة الرسائل الجامعية - الدور الاول | المكتبة المركزبة الجديدة - جامعة القاهرة | Cai01.03.01.M.Sc.2016.Ol.E (Browse shelf(Opens below)) | Not for loan | 01010110070622000 | |||
CD - Rom | مخـــزن الرســائل الجـــامعية - البدروم | المكتبة المركزبة الجديدة - جامعة القاهرة | Cai01.03.01.M.Sc.2016.Ol.E (Browse shelf(Opens below)) | 70622.CD | Not for loan | 01020110070622000 |
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Thesis (M.Sc.) - Cairo University - Faculty of Economics and Political Science - Department of Statistics
Bivariate lifetime distributions are of great importance in reliability engineering. To understand and analyze the failure time of two variables interacting together, bivari- ate distributions is a must. Several bivariate families were constructed. Bivariate Marshll-Olkin family takes into consideration all di{uFB00}erent scenarios of the random variables (i.e. the {uFB01}rst random variable is smaller, greater or equal to the second random variable). Here, the likelihood function of progressive type I censoring is derived for the bivaraite Marshall-Olkin family in general, and then applied on the bivariate Ku- maraswamy lifetime distribution. Type I censoring and random censoring is applied on the bivariate Kumaraswamy lifetime distribution. Simulation study and an il- lustrative example are performed to investigate the performance of the likelihood functions
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