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Eurasian Journal of Mathematical and Computer Applications, 2018, Volume 6, Issue 4, Pages 4–16
DOI: https://doi.org/10.32523/2306-6172-2018-6-4-4-16 (Mi ejmca119) 		 
Random delay differential equations and inverse problems for aggregate data problems

H. T. Banksa, C. W. Thompsonab

a Center for Research in Scientific Computation Department of Mathematics North Carolina State University Raleigh, NC 27695-8212
b SAS Institute Cary, NC
Full-text PDF (349 kB)
DOI: https://doi.org/10.32523/2306-6172-2018-6-4-4-16
Abstract: We consider nonparametric estimation of probability measures for parameters in delay differential equation (DDE) problems where only aggregate (population level) data are available. We summarize an existing computational method for the estimation problem which has been developed over the past several decades [11, 17, 21, 26, 28]. Theoretical results are presented which establish the existence and consistency of very general (ordinary, generalized and other) least squares estimates and estimators for the measure estimation problem with specific application to random DDEs.
Keywords: Inverse problems, random delay differential equations, aggregate data, approximation and consistency of estimators.
Funding agency Grant number
Air Force Office of Scientific Research FA9550-15-1-0298
This research was supported in part by the Air Force Office of Scientific Research (HTB) under grant number AFOSR FA9550-15-1-0298.
Bibliographic databases:
Document Type: Article
MSC: 62G07, 34A55, 46S50, 93E24
Language: English
Citation: H. T. Banks, C. W. Thompson, “Random delay differential equations and inverse problems for aggregate data problems”, Eurasian Journal of Mathematical and Computer Applications, 6:4 (2018), 4–16
Citation in format AMSBIB
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\by H.~T.~Banks, C.~W.~Thompson
\paper Random delay differential equations and inverse problems for aggregate data problems
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2018
\vol 6
\issue 4
\pages 4--16
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