Title :
A maximum likelihood estimation framework for the exponential Differential Equation Model
Author :
Ahmed Adly Mahmoud;Sarat Chandra Dass;Mohana S. Muthuvalu
Author_Institution :
Fundamental and Applied Sciences Department, Faculty of Science and Information Technology, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 31750 Tronoh, Perak, Malaysia
Abstract :
In this paper we propose the maximum likelihood method of estimation for Delay Differential Equation Model governed by unknown delay and other parameters of interest. As an example we consider the Exponential Differential Equation Model. A grid based estimation framework is proposed. Our methodology estimates correctly the delay parameter as well as the initial starting value of the dynamical system based on simulation data.
Keywords :
"Maximum likelihood estimation","Mathematical model","Differential equations","Biological system modeling","Delays","Data models"
Conference_Titel :
Computer, Control, Informatics and its Applications (IC3INA), 2015 International Conference on
DOI :
10.1109/IC3INA.2015.7377740
