000 02577cam a2200337 a 4500
003 EG-GiCUC
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008 170411s2016 ua h 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.2016.Mo.E
100 0 _aMohamed Ali Ahmed Mahmoud
245 1 0 _aExtending Kumaraswamy family of generalized distributions /
_cMohamed Ali Ahmed Mahmoud ; Supervised Mahmoud Riad Mahmoud , Elsayed Ahmed Elsherpieny
246 1 5 _aتوسيع عائلة كوماراسوامي للتوزيعات المعممة
260 _aCairo :
_bMohamed Ali Ahmed Mahmoud ,
_c2016
300 _a119 P. :
_bfacsimiles ;
_c30cm
502 _aThesis (Ph.D.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics
520 _aFinding the best fitted distribution for data set becomes practically an important problem in world of data sets so that it is useful to use new families of distributions to fit more cases or get better fits than before. In this thesis, a new generating family of generalized distributions so called the Kumaraswamy - Kumaraswamy (Kw Kw) family is presented. Four important common families of distributions are illustrated as special cases from the Kw Kw family. Moments, probability weighted moments, moment generating function, quantile function, median, mean deviation, order statistics and moments of order statistics are obtained. Parameters estimation and variance covariance matrix are obtained using maximum likelihood method. The Kumaraswamy - Kumaraswamy Weibull (Kw Kw Wi) distribution is derived, as a special case from the Kw Kw familly, and we show that it generalizes many important distribution. The pdf, the cdf, moments, quantile, the median, the mode, the mean deviation, the entropy, order statistics, L-moments, extreme value and unknown parameters estimation based on maximum likelihood are obtained for the Kw Kw Wi distribution. A simulation study and a real data set are used to illustrate the potentiality and applications of the new Kw Kw Wi distribution
530 _aIssued also as CD
653 4 _aKumaraswamy generalized distributions
653 4 _aMoment generating function
653 4 _aQuantiles
700 0 _aElsayed Ahmed Elsherpieny ,
_eSupervisor
700 0 _aMahmoud Riad Mahmoud ,
_eSupervisor
856 _uhttp://172.23.153.220/th.pdf
905 _aNazla
_eRevisor
905 _aShaima
_eCataloger
942 _2ddc
_cTH
999 _c60640
_d60640