02284cam a2200337 a 4500 EG-GiCUC 20250223032420.0 191019s2019 ua d f m 000 0 eng d EG-GiCUC eng EG-GiCUC eng Deposite M.Sc Cai01.18.03.M.Sc.2019.Eh.P Ehab Mohamed Ali Mohamed Almetwally Parameter estimation of bivariate models under some censoring schemes / Ehab Mohamed Ali Mohamed Almetwally ; Supervised Elsayed A. Elsherpieny , Hiba Zeyada Muhammed تقدير معالم النماذج الثنائية في إطار بعض أساليب المراقبة Cairo : Ehab Mohamed Ali Mohamed Almetwally , 2019 75 Leaves : charts ; 30cm Thesis (M.Sc.) - Cairo University - Faculty of Graduate Studies for Statistical Research - Department of Mathematical Statistics In this thesis, the Farlie-Gumbel-Morgenstern bivariate Weibull distribution (FGMBW) has been obtained. Its statistical properties (product moment, moment generation function, reliability function and hazard rate function) have been discussed. Different methods for parameter estimation of the FGMBW distribution have been discussed, these methods are maximum likelihood estimation, inference functions for margins and semi-parametric method. Two different methods for computing the confidence interval for parameters have been discussed, which are asymptotic confidence intervals and bootstrap confidence intervals. Finally, parameter estimation for the FGMBW distribution under progressive Type-II censoring samples have been introduced. In addition, a two real data sets have been introduced and analyzed to examine the model. A simulation study have been conducted to compare the preferences between estimation methods and censoring schemes Issued also as CD Bootstrap Progressive Type-II censoring samples Weibull distribution Elsayed A. Elsherpieny , Supervisor Hiba Zeyada Muhammed , Supervisor http://172.23.153.220/th.pdf Asmaa Cataloger Nazla Revisor ddc TH 74606 74606 ddc 0 CUCL cl210 2024-02-11 Cai01.18.03.M.Sc.2019.Eh.P 01010110079647000 2023-09-22 00:00:00 TH ddc 0 CUCL cl2u8 2024-02-11 Cai01.18.03.M.Sc.2019.Eh.P 01020110079647000 2023-09-22 00:00:00 79647.CD CD