Publication: Some classes of 2-partition geometric quadratic stochastic operator on countable state space and its regularity
Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Kuantan, Pahang : Kulliyyah of Science, International Islamic University Malaysia, 2020
Subject LCSH
Stochastic analysis
State-space methods
State-space methods
Subject ICSI
Call Number
t QA 274.2 S623S 2020
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.