03153cam a2200337 a 4500 EG-GiCUC 20250223032658.0 210123s2020 ua d f m 000 0 eng d EG-GiCUC eng EG-GiCUC eng Deposite M.Sc Cai01.18.03.M.Sc.2020.Sa.R Samah Ahmed Abdalhamed Atia Reliability estimation of some weighted distributions using censored samples / Samah Ahmed Abdalhamed Atia ; Supervised Amal Soliman Hassan , Hiba Zeyada Muhammed تقدير الصلاحية لبعض التوزيعات المرجحة بإستخدام العينات المراقبة Cairo : Samah Ahmed Abdalhamed Atia , 2020 120 Leaves : charts , facimiles ; 30cm Thesis (M.Sc.) - Cairo University - Faculty of Graduate Studies for Statistical Research (FGSSR) - Department of Mathematical Statistics Weighted distributions are suitable in the situations of unequal probability sampling, such as actuarial sciences, ecology, biomedicine, biostatistics and survival data analysis. It can be used in development of proper models for lifetime data,research related to reliability, econometrics, survey sampling and branching process. These distributions are applicable, when observations are recorded without any experiment, repetition and random process. The notion of weighted distributions has been used as a device for the collection of suitable model for observed data.The idea is most applicable when sampling frame is not available and random sampling is not possible.The exponentiated exponential and length-biased Lomax distributions are two important weighted distributions considered in the current thesis. Censoring is of great importance in planning duration experiments in reliability and lifetime studies whenever the experimenter does not observe the lifetimes of all test units. The traditional censoring schemes (Type I and Type II censoring) do not allow for units to be removed from the test at points other than the terminal point of the experiment. This allowance will be importantwhen a compromise between reduced time of experimentation and the observations of at least some extreme lifetimes are sought. When some of the surviving units in the experiment are removed early one can be used for some other experiments. This reason leads to the area of progressive censoring. In this thesis, based on progressively Type II censored samples, the maximum likelihood, Bayesian estimators of parameters, reliability and hazard functions of the exponentiated moment exponential and length-biased weighted Lomax distributions are derived.The asymptotic confidence intervals for parameters are discussed Issued also as CD Censored samples Reliability Weighted distributions Amal Soliman Hassan , Supervisor Hiba Zeyada Muhammed , Supervisor http://172.23.153.220/th.pdf Nazla Revisor Shimaa Cataloger ddc TH 79660 79660 ddc 0 CUCL cl210 2024-02-11 Cai01.18.03.M.Sc.2020.Sa.R 01010110082619000 2023-09-22 00:00:00 TH ddc 0 CUCL cl2u8 2024-02-11 Cai01.18.03.M.Sc.2020.Sa.R 01020110082619000 2023-09-22 00:00:00 82619.CD CD