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.author | Siti Nurlaili Karim | en_US |
dc.contributor.supervisor | Nur Zatul Akmar Hamzah, Ph.D | en_US |
dc.contributor.supervisor | Nasir Ganikhodjaev, Ph.D | en_US |
dc.date.accessioned | 2024-10-09T07:47:34Z | |
dc.date.available | 2024-10-09T07:47:34Z | |
dc.date.issued | 2020 | |
dc.description.abstract | This 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.abstractarabic | تم 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.callnumber | t QA 274.2 S623S 2020 | en_US |
dc.description.identifier | Thesis : Some classes of 2-partition geometric quadratic stochastic operator on countable state space and its regularity /by Siti Nurlaili binti Karim | en_US |
dc.description.identity | t11100424111SitiNurlailiBintiKarim | en_US |
dc.description.kulliyah | Kulliyyah of Science | en_US |
dc.description.notes | Thesis (MSCTS)--International Islamic University Malaysia, 2020. | en_US |
dc.description.physicaldescription | x, 70 leaves : illustrations ; 30cm. | en_US |
dc.description.programme | Master of Science (Computational and Theoretical Sciences) | en_US |
dc.identifier.uri | https://studentrepo.iium.edu.my/handle/123456789/11400 | |
dc.language.iso | en | en_US |
dc.publisher | Kuantan, Pahang : Kulliyyah of Science, International Islamic University Malaysia, 2020 | en_US |
dc.subject.lcsh | Stochastic analysis | en_US |
dc.subject.lcsh | State-space methods | en_US |
dc.title | Some classes of 2-partition geometric quadratic stochastic operator on countable state space and its regularity | en_US |
dc.type | Master Thesis | en_US |
dspace.entity.type | Publication |
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