A Maximum Likelihood Estimation Framework for the Exponential Differential Equation Model

被引：0

作者：

Mahmoud, Ahmed Adly ^{[1
]}

Dass, Sarat Chandra ^{[1
]}

Muthuvalu, Mohana S. ^{[2
]}

机构：

[1] Univ Teknol PETRONAS, Fundamental & Appl Sci Dept, Fac Sci & Informat Technol, Tronoh 31750, Perak, Malaysia

[2] Univ Teknol PETRONAS, Dept Petr Engn, Fac Geosci & Petr Engn, Tronoh 31750, Perak, Malaysia

来源：

2015 INTERNATIONAL CONFERENCE ON COMPUTER, CONTROL, INFORMATICS AND ITS APPLICATIONS (IC3INA) | 2015年

关键词：

Ordinary Differential Equations (ODEs); Delay Differential Equations (DDEs); Exponential Delay Differential Equation Model (EDDEM); Maximum Likelihood Estimation (MLE); PARAMETER-ESTIMATION; DYNAMIC-MODELS; POPULATIONS;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：23 / 27

页数：5

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