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Random delay differential equations and inverse problems for aggregate data problems
Eurasian journal of mathematical and computer applications, Tome 6 (2018) no. 4, pp. 4-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{EJMCA_2018_6_4_a0,
     author = {H. T. Banks and C. W. Thompson},
     title = {Random delay differential equations and inverse problems for aggregate data problems},
     journal = {Eurasian journal of mathematical and computer applications},
     pages = {4--16},
     year = {2018},
     volume = {6},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJMCA_2018_6_4_a0/}
}
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H. T. Banks; C. W. Thompson. Random delay differential equations and inverse problems for aggregate data problems. Eurasian journal of mathematical and computer applications, Tome 6 (2018) no. 4, pp. 4-16. http://geodesic.mathdoc.fr/item/EJMCA_2018_6_4_a0/