Some characterizations based on generalized order statistics / by Khater Abd El Hameed Gadelrab Kenaway ; Supervised Prof. Ali Ahmed Abdulrahman,,Prof. Ibrahim B. Abdul-Moniem, Prof. Salwa Mahmoud Samy Assar.
Material type:
TextLanguage: English Summary language: English, Arabic Producer: 2025Description: 131 Leaves : illustrations ; 30 cm. + CDContent type: - text
- Unmediated
- volume
- بعض طرق التميز باستخدام الاحصاءات الترتيبية المعممة [Added title page title]
- Mathematical Statistics
- الإحصاء الرياضي
- Generalized order statistics Order statistics Records Single and product moments Recurrence relations Weibull-Weibull Distribution;Phani Distribution Weibull Kumaraswamy distribution The Power Inverted Topp–Leone Distribution Characterization إحصاءات الترتيب المعممة إحصاءات الترتيب
- 519.5
- Issues also as CD.
| Item type | Current library | Home library | Call number | Status | Barcode | |
|---|---|---|---|---|---|---|
Thesis
|
قاعة الرسائل الجامعية - الدور الاول | المكتبة المركزبة الجديدة - جامعة القاهرة | Cai01.18.03.Ph.D.2025.Kh.S (Browse shelf(Opens below)) | Not for loan | 01010110093388000 |
Browsing المكتبة المركزبة الجديدة - جامعة القاهرة shelves Close shelf browser (Hides shelf browser)
| No cover image available | No cover image available | No cover image available | No cover image available | No cover image available | No cover image available | No cover image available | ||
| Cai01.18.03.Ph.D.2025.Am.S Some new generated families of distributions with applications in actuarial sciences / | Cai01.18.03.Ph.D.2025.As.P Parameter estimation based on unified hybrid censoring scheme / | Cai01.18.03.Ph.D.2025.Ho.A On alpha power transformation family of distributions / | Cai01.18.03.Ph.D.2025.Kh.S Some characterizations based on generalized order statistics / | Cai01.18.03.Ph.D.2025.Yo.C Contributions to some "Stress-Strength" models in the presence of outliers | Cai01.18.04. M.Sc.2021.Ad.C Comparative Study for Survival Models / | Cai01.18.04. M.Sc.2021.Ad.C Comparative Study for Survival Models / |
Thesis (Ph.D)-Cairo University, 2025.
Bibliography: pages 124-130.
The 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.
تتناول 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
Issues also as CD.
Text in English and abstract in Arabic & English.
There are no comments on this title.