000			02804cam a2200337 a 4500
003			EG-GiCUC
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008			201123s2020 ua d f m 000 0 eng d
040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aM.Sc
099			_aCai01.18.03.M.Sc.2020.As.O
100	0		_aAsmaa Elsayed Abdallah Abdelrahim
245	1	0	_aOn the inverse power Lindley distribution / _cAsmaa Elsayed Abdallah Abdelrahim ; Supervised Amal Soliman Hassan , Marwa Abdallah Abdelghafar
246	1	5	_aعن توزيع معكوس ليندلى الآسى
260			_aCairo : _bAsmaa Elsayed Abdallah Abdelrahim , _c2020
300			_a110 Leaves : _bcharts ; _c30cm
502			_aThesis (M.Sc.) - Cairo University - Faculty of Graduate Studies for Statistical Research - Department of Mathematical Statistics
520			_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
530			_aIssued also as CD
653		4	_aAbsolute Bias (AB)
653		4	_aAccelerated Life Tests (ALTs)
653		4	_aThe inverse power Lindley distribution
700	0		_aAmal Soliman Hassan , _eSupervisor
700	0		_aMarwa Abdallah Abdelghafar , _eSupervisor
856			_uhttp://172.23.153.220/th.pdf
905			_aAmira _eCataloger
905			_aNazla _eRevisor
942			_2ddc _cTH
999			_c78942 _d78942