Publication:
Some classes of 2-partition geometric quadratic stochastic operator on countable state space and its regularity

dc.contributor.affiliation#PLACEHOLDER_PARENT_METADATA_VALUE#en_US
dc.contributor.authorSiti Nurlaili Karimen_US
dc.contributor.supervisorNur Zatul Akmar Hamzah, Ph.Den_US
dc.contributor.supervisorNasir Ganikhodjaev, Ph.Den_US
dc.date.accessioned2024-10-09T07:47:34Z
dc.date.available2024-10-09T07:47:34Z
dc.date.issued2020
dc.description.abstractThis research is designed to define and construct some classes of Geometric quadratic stochastic operator defined on the countable state space generated by 2-partition of finite and infinite points, and to investigate their trajectory behaviour. These operators can be reinterpreted in terms of evolutionary operator of free population with arbitrary initial measure. It is shown that such operators are regular transformations through the convergence of the trajectory behaviour to a fixed point in the open interval (0,1) which indicates the existence of the strong limit of the sequence of trajectories.en_US
dc.description.abstractarabicتم تصميم هذا البحث لتحديد وبناء بعض من فئات مشغلات مؤشر ستوكاستيك من الدرجة الثانية المحددة على مساحة الحالة القابلة للعد والتي تم إنشاؤها بواسطة قسمين من النقاط المحدودة وغير المحدودة وأيضا للتحقق من سلوكهما المسا ري. بالإمكان إعادة تفسير هذه العوامل بناء على المشغل التطوري للتعداد الحر بالحساب الأولي الافتراضي. اتضح أن هذا المشغل عبارة عن تحول منتظم من خلال تقارب السلوك المسا ري إلى نقطة ثابتة في الفترة المفتوحة ) 0 ، 1 ( مما يدل على وجود حد قوي لتسلسل المسارات.en_US
dc.description.callnumbert QA 274.2 S623S 2020en_US
dc.description.identifierThesis : Some classes of 2-partition geometric quadratic stochastic operator on countable state space and its regularity /by Siti Nurlaili binti Karimen_US
dc.description.identityt11100424111SitiNurlailiBintiKarimen_US
dc.description.kulliyahKulliyyah of Scienceen_US
dc.description.notesThesis (MSCTS)--International Islamic University Malaysia, 2020.en_US
dc.description.physicaldescriptionx, 70 leaves : illustrations ; 30cm.en_US
dc.description.programmeMaster of Science (Computational and Theoretical Sciences)en_US
dc.identifier.urihttps://studentrepo.iium.edu.my/handle/123456789/11400
dc.language.isoenen_US
dc.publisherKuantan, Pahang : Kulliyyah of Science, International Islamic University Malaysia, 2020en_US
dc.subject.lcshStochastic analysisen_US
dc.subject.lcshState-space methodsen_US
dc.titleSome classes of 2-partition geometric quadratic stochastic operator on countable state space and its regularityen_US
dc.typeMaster Thesisen_US
dspace.entity.typePublication

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