000			02696cam a2200325 a 4500
003			EG-GiCUC
005			20250223032245.0
008			190415s2018 ua dh f m 000 0 eng d
040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aPh.D
099			_aCai01.18.03.Ph.D.2018.Mo.O
100	0		_aMohamed Salem Abdelwahab Muiftah
245	1	0	_aOn expressing continuous distributions with discrete distributions / _cMohamed Salem Abdelwahab Muiftah ; Supervised Samir Kamel Ashour
246	1	5	_aعن تعبير توزيعات متصلة بتوزيعات منفصلة
260			_aCairo : _bMohamed Salem Abdelwahab Muiftah , _c2018
300			_a168 Leaves : _bcharts , facsimiles ; _c30cm
502			_aThesis (Ph.D.) - Cairo University - Institute of Statistical Studies And Research - Department of Mathematical Statistics
520			_aA large number of continuous lifetime distributions has been proposed during the last few decades, some of them have been extensively studied and modified. Although few work has been done in discrete reliability, several discrete lifetime distributions have been also proposed. Most reliability studies assume that time is continuous, but sometimes, system lifetimes cannot be measured with calendar time, for example, when an equipment is monitored only once per period and the observation is the number of time periods successfully completed prior to failure, or when an equipment operates in cycles or on demands, and the number of cycles or demands prior to failure is observed. In such situations, system lifetime is a discrete random variable, then, the usual reliability concepts for continuous lifetimes have to be defined again to be adapted to discrete time.Therefore, many discrete analogues of continuous probability distributions were suggested by many researchers using different methods of discretization. In this work, the concept of "Discretization" is studied in detail, four methods of discretization and the corresponding discretized distributions are reviewed, the parameters of two types of the discrete Weibull distributions are estimated, and a new discrete analogue of the finite power function distribution is proposed. Mathcad and microsoft Excel programs are used to simulate data and obtain the parameter estimates for the suggested studied distributions
530			_aIssued also as CD
653		4	_aContinuous distributions
653		4	_aDiscrete distributions
653		4	_aDiscretization
700	0		_aSamir Kamel Ashour, _eSupervisor
856			_uhttp://172.23.153.220/th.pdf
905			_aNazla _eRevisor
905			_aShimaa _eCataloger
942			_2ddc _cTH
999			_c71480 _d71480