تفاصيل مارك
| 000 -LEADER |
| fixed length control field |
05853namaa22004331i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
| control field |
EG-GICUC |
| 005 - أخر تعامل مع التسجيلة |
| control field |
20260502202251.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
| fixed length control field |
260502s2025 ua a|||frm||| 000 0 eng d |
| 040 ## - CATALOGING SOURCE |
| Original cataloguing agency |
EG-GICUC |
| Language of cataloging |
eng |
| Transcribing agency |
EG-GICUC |
| Modifying agency |
EG-GICUC |
| Description conventions |
rda |
| 041 0# - LANGUAGE CODE |
| Language code of text/sound track or separate title |
eng |
| Language code of summary or abstract |
eng |
| -- |
ara |
| 049 ## - Acquisition Source |
| Acquisition Source |
Deposit |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
| Classification number |
519.24 |
| 092 ## - LOCALLY ASSIGNED DEWEY CALL NUMBER (OCLC) |
| Classification number |
519.24 |
| Edition number |
21 |
| 097 ## - Degree |
| Degree |
Ph.D |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) |
| Local Call Number |
Cai01.18.03.Ph.D.2025.Mo.G |
| 100 0# - MAIN ENTRY--PERSONAL NAME |
| Authority record control number or standard number |
Mohamed Bahaaeldin Moemen Abdelmaaboud, |
| Preparation |
preparation. |
| 245 10 - TITLE STATEMENT |
| Title |
Generalized order statistics for some families of distributions and its characterization / |
| Statement of responsibility, etc. |
by Mohamed Bahaaeldin Moemen Abdelmaaboud ; Supervised Prof. Ali Ahmed Abdulrahman, Prof. Ibrahim Baghdadi. Abdul-Moniem. |
| 246 15 - VARYING FORM OF TITLE |
| Title proper/short title |
الإحصاءات الترتيبية المعممة لبعض عائلات التوزيعات والدالة المميزة لها |
| 264 #0 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
| Date of production, publication, distribution, manufacture, or copyright notice |
2025. |
| 300 ## - PHYSICAL DESCRIPTION |
| Extent |
137 Leaves : |
| Other physical details |
illustrations ; |
| Dimensions |
30 cm. + |
| Accompanying material |
CD. |
| 336 ## - CONTENT TYPE |
| Content type term |
text |
| Source |
rda content |
| 337 ## - MEDIA TYPE |
| Media type term |
Unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
| Carrier type term |
volume |
| Source |
rdacarrier |
| 502 ## - DISSERTATION NOTE |
| Dissertation note |
Thesis (M.Sc)-Cairo University, 2025. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
| Bibliography, etc. note |
Bibliography: pages 94-97. |
| 520 #3 - SUMMARY, ETC. |
| Summary, etc. |
Generalized Order Statistics )GOS) represent a modern and extended <br/>framework of classical order statistics, offering a flexible and unified <br/>approach to modeling ordered data beyond simple ascending or descending <br/>arrangements. Unlike classical order statistics which rank observations <br/>purely by size GOS allow for more complex selection schemes that <br/>incorporate biased, truncated, or non-standard distributions. <br/>Kamps (1995) introduced GOS as a unified structure that encompasses <br/>major models such as ordinary order statistics, record values, and reversed <br/>order statistics. This unified perspective has enabled more precise <br/>analytical tools for studying distributional properties and expanding <br/>applications across industrial statistics, reliability analysis, and survival <br/>studies. <br/> Several foundational works have strengthened the theoretical basis of <br/>GOS. Kamps and Gather (1997) developed statistical discrimination tools <br/>using GOS, while Keseling (1999) addressed general properties of ranked <br/>distributions. Cramer and Kamps (2000) advanced distributional <br/>characterization through GOS, and Ahsanullah (2000) contributed <br/>extensively to the theory of record values. Additional significant <br/>contributions from Ahmad (2007), Ahmad & Fawzy (2003), Khan et al. <br/>(2007), Kumar (2011), and Abdul-Moniem (2014, 2019, 2022) provided <br/>practical mathematical models for deriving moments and characterizing <br/>distributions using the GOS framework. <br/> This thesis aims to broaden the use of GOS by developing new <br/>recurrence relations for single and joint moments derived from weighted <br/>distributions, thereby enhancing the understanding and characterization of <br/>complex statistical models. The thesis consists of five chapters, along with <br/>Arabic and English summaries and a comprehensive reference list. |
| 520 #3 - SUMMARY, ETC. |
| Summary, etc. |
تم في هذه الرسالة دراسة الإحصاءات الترتيبية المعممة المستمدة من بعض فئات توزيعات الأعمار الموزونة. وتركّزت الدراسة على اشتقاق علاقات تكرارية للعزوم الفردية والعزوم المركبة للإحصاءات الترتيبية المعممة، بهدف تبسيط المعالجة الرياضية وتقليل الجهد الحسابي المرتبط بحساب هذه العزوم بطرق مباشرة. وقد طُبِّقت العلاقات التكرارية المستنتجة على عدد من توزيعات الأعمار المهمة، من بينها التوزيع الأسي المنحاز بالطولLength-biased Exponential Distribution، وتوزيع رايلي المنحاز بالمساحةArea-biased Rayleigh Distribution، وتوزيع وايبول الموزونWeighted Weibull Distribution، بالإضافة إلى فئة عامة تُعرف بعائلة توزيعات الأعمار الموزونةWeighted Family of Life Distribution.<br/>كما تم اشتقاق صيغ تحليلية لعزوم Lوعزوم Lالمقتطعة، باعتبارها مقاييس إحصائية حصينة لوصف خصائص التوزيعات من حيث الشكل والتباين، خاصة في وجود القيم المتطرفة أو الانحراف في البيانات. وإلى جانب الإسهامات النظرية، أُجريت بعض الحسابات العددية المختارة لمتوسطات وتباينات الإحصاءات الترتيبية المعممة للتحقق من صحة العلاقات التكرارية المستنتجة وإبراز قابليتها للتطبيق العملي. وتؤكد النتائج المتحصل عليها فاعلية الإطار النظري المقترح وأهميته في تطبيقات تحليل الاعتمادية ونمذجة البقاء وتحليل بيانات الأعمار. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
| Issues CD |
Issues also as CD. |
| 546 ## - LANGUAGE NOTE |
| Text Language |
Text in English and abstract in Arabic & English. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Exponential families (Statistics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
عائلات التوزيعات والدالة |
| 653 #1 - INDEX TERM--UNCONTROLLED |
| Uncontrolled term |
Generalized Order Statistics |
| -- |
Weighted Distributions |
| -- |
Recurrence Relations L |
| -- |
Characterization |
| -- |
Moment |
| -- |
الإحصاءات الترتيبية المعممة |
| -- |
التوزيعات الموزونة |
| 700 0# - ADDED ENTRY--PERSONAL NAME |
| Personal name |
Ali Ahmed Abdulrahman |
| Relator term |
thesis advisor. |
| 700 0# - ADDED ENTRY--PERSONAL NAME |
| Personal name |
Ibrahim Baghdadi. Abdul-Moniem |
| Relator term |
thesis advisor. |
| 900 ## - Thesis Information |
| Grant date |
01-01-2025 |
| Supervisory body |
Ali Ahmed Abdulrahman |
| -- |
Ibrahim Baghdadi Abdul-Moniem |
| Universities |
Cairo University |
| Faculties |
Faculty of Graduate Studies for Statistical Research |
| Department |
Department of Mathematical Statistics |
| 905 ## - Cataloger and Reviser Names |
| Cataloger Name |
Shimaa |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Thesis |
| Edition |
21 |
| Suppress in OPAC |
No |