02598cam a2200253 a 4500003000900000005001700009008004100026040002800067041000800095100003800103245014700141246005700288260005700345300003500402502013300437520153200570530002202102653002302124653003502147653004402182700003902226700004602265856003302311EG-GiCUC20250223032635.0201123s2020    ua d   f m    000 0 eng d  aEG-GiCUCbengcEG-GiCUC0 aeng0 aAsmaa Elsayed Abdallah Abdelrahim10aOn the inverse power Lindley distribution / cAsmaa Elsayed Abdallah Abdelrahim ; Supervised Amal Soliman Hassan , Marwa Abdallah Abdelghafar 15aعن توزيع معكوس ليندلى الآسى  aCairo : bAsmaa Elsayed Abdallah Abdelrahim , c2020  a110 Leaves : bcharts ; c30cm  aThesis (M.Sc.) - Cairo University - Faculty of Graduate Studies for Statistical Research - Department of Mathematical Statistics  aSeveral probability distributions have been proposed in the literature, especially with the aim of obtaining models that are more flexible to the behaviors of the density and hazard rate function. Recently, Barco et al. (2017) proposed the inverse power Lindley as the generalized form of inverse Lindley distribution. They showed that the inverse power Lindley distribution is a good alternative to some other models in modeling survival data. The main aim in the preset thesis is, firstly, to estimate the model parameters of inverse power Lindley based on four different methods of estimation. The proposed methods are the maximum likelihood, least squares, weighted least squares and percentiles. An intensive numerical study is conducted for evaluating the performance of parameter estimates. The comparison is mainly made between different estimates by using extensive simulation techniques.Secondly, the problem of optimal designing and statistical inference in step stress partial accelerated life test is considered under Type I censuring. The maximum likelihood is used to estimate the accelerated factor and the unknown parameter for the model. The asymptotic variance-covariance matrix and the confidence bounds of the parameters are also obtained. The optimum test plans for step stress partial accelerated life tests are developed. Such plans minimize the generalized asymptotic variance of the maximum likelihood estimators for the model parameters. Simulation study is used to illustrate the theoretical results  aIssued also as CD 4aAbsolute Bias (AB) 4aAccelerated Life Tests (ALTs)  4aThe inverse power Lindley distribution 0 aAmal Soliman Hassan , eSupervisor0 aMarwa Abdallah Abdelghafar , eSupervisor  uhttp://172.23.153.220/th.pdf