Cover Image

New class of lebesgue quadratic stochastic operators on continual state space

The theory of quadratic stochastic operator (qso) has been developed significantly since it was introduced in the early of 20th century by Bernstein through his work on population genetics. In this research, we introduce a new construction of Lebesgue qso generated by 2measurable partition on the c...

Full description

Saved in:
Bibliographic Details
Main Authors: Karim, Siti Nurlaili, Hamzah, Nur Zatul Akmar, Ganikhodjaev, Nasir
Format: Article
Language:English
Published: Kulliyyah of Allied Health Sciences, International Islamic University Malaysia 2021
Subjects:
QA273 Probabilities
QA276 Mathematical Statistics
Online Access:http://irep.iium.edu.my/92204/1/92204_New%20class%20of%20lebesgue%20quadratic%20stochastic%20operators%20on%20continual%20state%20space.pdf
http://irep.iium.edu.my/92204/
https://journals.iium.edu.my/ijahs/index.php/IJAHS/article/view/546
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.iium.irep.92204
record_format dspace
spelling my.iium.irep.922042021-09-14T01:01:37Z http://irep.iium.edu.my/92204/ New class of lebesgue quadratic stochastic operators on continual state space Karim, Siti Nurlaili Hamzah, Nur Zatul Akmar Ganikhodjaev, Nasir QA273 Probabilities QA276 Mathematical Statistics The theory of quadratic stochastic operator (qso) has been developed significantly since it was introduced in the early of 20th century by Bernstein through his work on population genetics. In this research, we introduce a new construction of Lebesgue qso generated by 2measurable partition on the continual state space . The main aim of this research is to investigate the trajectory behaviour of such operators by reducing its variables into one-dimensional setting which correspond to the number of its measurable partition. The limit behaviour of such operators will be investigated computationally and analytically where the computational results conform to the analytical results. Measure and probability theory alongside the functional analysis will be employed to investigate the limit behaviour and characteristics of fixed points. The results showed that for measure of Lebesgue qso less than two parameters, one can find the behaviour of such operators either have fixed point or periodic point of period 2. These results suggest that the new Lebesgue qso generated by 2measurable partition can be regular or nonregular transformation depends on the given conditions. Kulliyyah of Allied Health Sciences, International Islamic University Malaysia 2021-04-08 Article PeerReviewed application/pdf en http://irep.iium.edu.my/92204/1/92204_New%20class%20of%20lebesgue%20quadratic%20stochastic%20operators%20on%20continual%20state%20space.pdf Karim, Siti Nurlaili and Hamzah, Nur Zatul Akmar and Ganikhodjaev, Nasir (2021) New class of lebesgue quadratic stochastic operators on continual state space. International Journal of Allied Health Sciences, 5 (1). p. 2109. E-ISSN 2600-8491 https://journals.iium.edu.my/ijahs/index.php/IJAHS/article/view/546
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA273 Probabilities
QA276 Mathematical Statistics
spellingShingle QA273 Probabilities
QA276 Mathematical Statistics
Karim, Siti Nurlaili
Hamzah, Nur Zatul Akmar
Ganikhodjaev, Nasir
New class of lebesgue quadratic stochastic operators on continual state space
description The theory of quadratic stochastic operator (qso) has been developed significantly since it was introduced in the early of 20th century by Bernstein through his work on population genetics. In this research, we introduce a new construction of Lebesgue qso generated by 2measurable partition on the continual state space . The main aim of this research is to investigate the trajectory behaviour of such operators by reducing its variables into one-dimensional setting which correspond to the number of its measurable partition. The limit behaviour of such operators will be investigated computationally and analytically where the computational results conform to the analytical results. Measure and probability theory alongside the functional analysis will be employed to investigate the limit behaviour and characteristics of fixed points. The results showed that for measure of Lebesgue qso less than two parameters, one can find the behaviour of such operators either have fixed point or periodic point of period 2. These results suggest that the new Lebesgue qso generated by 2measurable partition can be regular or nonregular transformation depends on the given conditions.
format Article
author Karim, Siti Nurlaili
Hamzah, Nur Zatul Akmar
Ganikhodjaev, Nasir
author_facet Karim, Siti Nurlaili
Hamzah, Nur Zatul Akmar
Ganikhodjaev, Nasir
author_sort Karim, Siti Nurlaili
title New class of lebesgue quadratic stochastic operators on continual state space
title_short New class of lebesgue quadratic stochastic operators on continual state space
title_full New class of lebesgue quadratic stochastic operators on continual state space
title_fullStr New class of lebesgue quadratic stochastic operators on continual state space
title_full_unstemmed New class of lebesgue quadratic stochastic operators on continual state space
title_sort new class of lebesgue quadratic stochastic operators on continual state space
publisher Kulliyyah of Allied Health Sciences, International Islamic University Malaysia
publishDate 2021
url http://irep.iium.edu.my/92204/1/92204_New%20class%20of%20lebesgue%20quadratic%20stochastic%20operators%20on%20continual%20state%20space.pdf
http://irep.iium.edu.my/92204/
https://journals.iium.edu.my/ijahs/index.php/IJAHS/article/view/546
_version_ 1712284852208795648
score 13.211869

Similar Items