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Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays
Joint Authors
Mahmoud, Ahmed A.
Dass, Sarat C.
Muthuvalu, Mohana S.
Asirvadam, Vijanth S.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-12
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This article presents statistical inference methodology based on maximum likelihoods for delay differential equation models in the univariate setting.
Maximum likelihood inference is obtained for single and multiple unknown delay parameters as well as other parameters of interest that govern the trajectories of the delay differential equation models.
The maximum likelihood estimator is obtained based on adaptive grid and Newton-Raphson algorithms.
Our methodology estimates correctly the delay parameters as well as other unknown parameters (such as the initial starting values) of the dynamical system based on simulation data.
We also develop methodology to compute the information matrix and confidence intervals for all unknown parameters based on the likelihood inferential framework.
We present three illustrative examples related to biological systems.
The computations have been carried out with help of mathematical software: MATLAB® 8.0 R2014b.
American Psychological Association (APA)
Mahmoud, Ahmed A.& Dass, Sarat C.& Muthuvalu, Mohana S.& Asirvadam, Vijanth S.. 2017. Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays. Complexity،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1143200
Modern Language Association (MLA)
Mahmoud, Ahmed A.…[et al.]. Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays. Complexity No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1143200
American Medical Association (AMA)
Mahmoud, Ahmed A.& Dass, Sarat C.& Muthuvalu, Mohana S.& Asirvadam, Vijanth S.. Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays. Complexity. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1143200
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143200