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040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aM.Sc
099 _aCai01.18.03.M.Sc.2020.Kh.O
100 0 _aKhater Abdelhameed Gadelrab Kenaway
245 1 0 _aOn the generalization of transmuted distributions /
_cKhater Abdelhameed Gadelrab Kenaway ; Supervised Amal Soliman Hassan , Ibrahim Baghdadi Abdulmoniem
246 1 5 _aعن التعميم للتوزيعات المحولة
260 _aCairo :
_bKhater Abdelhameed Gadelrab Kenaway ,
_c2020
300 _a108 Leaves :
_bcharts ;
_c30cm
502 _aThesis (M.Sc.) - Cairo University - Faculty of Graduate Studies for Statistical Research - Department of Mathematical Statistics
520 _aIn many statistical situations, classical distributions do not provide appropriate {uFB01}ts to real data. Recently, attempts have been made to define new families of probability distributions that extendwell-known distributions and at the same time provide great flexibility in modelingdata in practice.In this thesis, a new four-parameter lifetime distribution, called the generalized transmuted moment exponential distribution is introduced.This distribution is a particular case from generalized transmuted-G family. Its density function is very flexible and can be symmetrical, unimodal and right skewed. Also, the hazard rate function of this distribution can be increasing and decreasing according to different values of parameters.Different stracture properties are showed including explicit expressions for the quantile function. Also, moments and incomplete moments, moments of the residual and reversed residual life and Rényi entropy are obtained.Additionally, the maximum likelihood, percentiles and least squares methods are used to estimate the modelparameters.The potentiality of the new model is illustrated by means of threeapplications to real data.The lower generalized order statistics is a unified model which contains the well-known decreasingly ordered random variables like lower order statistics, L-moments, TL-momets and lower record values.Simple expressions for single and product moments of lower generalized order statistics from generalized transmuted moment exponential distribution are provided. Somecomputional results of the means and variances of lower order statistics are carried out based on theortical results of lower order statistics for some sample sizes in a simple and efficient manner.Special moments like L-moments and TL- moments are also provided. Furthermore, characterization of the generalized transmuted moment exponential using the conditional moments is discussed
530 _aIssued also as CD
653 4 _aAbsolute Biases (ABs)
653 4 _aGeneralization
653 4 _aTransmuted distributions
700 0 _aAmal Soliman Hassan ,
_eSupervisor
700 0 _aIbrahim Baghdadi Abdulmoniem ,
_eSupervisor
856 _uhttp://172.23.153.220/th.pdf
905 _aNazla
_eRevisor
905 _aShimaa
_eCataloger
942 _2ddc
_cTH
999 _c79786
_d79786