000			05277namaa22004451i 4500
003			EG-GICUC
005			20260225110020.0
008			260215s2025 ua a|||frm||| 000 0 eng d
040			_aEG-GICUC _beng _cEG-GICUC _dEG-GICUC _erda
041	0		_aeng _beng _bara
049			_aDeposit
082	0	4	_a519.5
092			_a519.5 _221
097			_aPh.D
099			_aCai01.18.03.Ph.D.2025.Kh.S
100	0		_aKhater Abd El Hameed Gadelrab Kenaway, _epreparation.
245	1	0	_aSome characterizations based on generalized order statistics / _cby Khater Abd El Hameed Gadelrab Kenaway ; Supervised Prof. Ali Ahmed Abdulrahman,,Prof. Ibrahim B. Abdul-Moniem, Prof. Salwa Mahmoud Samy Assar.
246	1	5	_aبعض طرق التميز باستخدام الاحصاءات الترتيبية المعممة
264		0	_c2025.
300			_a131 Leaves : _billustrations ; _c30 cm. + _eCD.
336			_atext _2rda content
337			_aUnmediated _2rdamedia
338			_avolume _2rdacarrier
502			_aThesis (Ph.D)-Cairo University, 2025.
504			_aBibliography: pages 124-130.
520		3	_aThe characterizations based on generalized order statistics are crucial for theoretical advancements and practical applications across various fields. Their ability to provide detailed insights into the distributional properties of ordered data makes them indispensable tools for statisticians, engineers, data scientists, and researchers. Characterizations based on generalized order statistics deepen our understanding of the structural properties of ordered data. By extending classical results, generalized order statistics offer new insights into the behavior and relationships of statistical distributions. This study explores some characterizations based on generalized order statistics from Weibull-Family of Life distributions, characterization based on recurrence relation for single moments of generalized order statistics, and characterization based on recurrence relation for product moments of generalized order statistics. The study investigates some characterizations based on generalized order statistics for many distributions, the recurrence relation for single expectations of generalized order statistics, and moments of order statistics. Additionally, it tackles L-moments, TL-momets, and upper record values, characterization based on recurrence relation for single moments of generalized order statistics, and characterization based on recurrence relation for product moments of generalized order statistics. Some computational results of the means and variances of order statistics are carried out based on theoretical results of order statistics for some sample sizes simply and efficiently. Special moments like L-moments and TL- moments, as well as the characterization of generalized order statistics, are also provided.
520		3	_aتتناول هذه الدراسة توظيف الإحصاءات الترتيبية المعممة (Generalized Order Statistics - GOS)كأداة متقدمة لتحليل البيانات وتوصيف التوزيعات الاحتمالية، بما يسمح بفهم خصائصها خاصة في حالات البيانات غير التقليدية أو المقطوعة. انطلقت الفكرة من توسيع الإحصاءات الترتيبية التقليدية لتشمل تشكيلات أكثر تعقيدًا، مما وفر إطارًا مرنًا لدراسة المتغيرات العشوائية المرتبة وتطبيقاتها في مجالات الموثوقية وتحليل السلاسل الزمنية وإدارة المخاطر. تضمن العمل عرضًا لأهم الدراسات السابقة مثل أعمال Kamps (1995) وKeseling (1999) و Cramer and Kamps (2000) وAhsanullah (2000, 2016) وغيرهم، والذين تناولوا توصيف التوزيعات باستخدام GOS والقيم القياسية (Record Values). وقدّمت دراسات أخرى مثل Ahmed (2007) وKhan et al. (2007) وAL-Hussaini et al. (2005) إسهامات في تحليل العزوم وتوصيف التوزيعات الاحتمالية اعتمادًا على هذه الإحصاءات
530			_aIssues also as CD.
546			_aText in English and abstract in Arabic & English.
650		0	_aMathematical Statistics
650		0	_aالإحصاء الرياضي
653		1	_aGeneralized order statistics _aOrder statistics _aRecords _aSingle and product moments _aRecurrence relations _aWeibull-Weibull Distribution;Phani Distribution _aWeibull Kumaraswamy distribution _aThe Power Inverted Topp–Leone Distribution _aCharacterization _aإحصاءات الترتيب المعممة _aإحصاءات الترتيب
700	0		_aAli Ahmed Abdulrahman _ethesis advisor.
700	0		_aIbrahim B. Abdul-Moniem _ethesis advisor.
700	0		_aSalwa Mahmoud Samy Assar _ethesis advisor.
900			_b01-01-2025 _cAli Ahmed Abdulrahman _cIbrahim B. Abdul-Moniem _cSalwa Mahmoud Samy Assar _UCairo University _FFaculty of Graduate Studies for Statistical Research _DDepartment of Mathematical Statistics
905			_aShimaa _eEman Ghareb
942			_2ddc _cTH _e21 _n0
999			_c178513