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Parameter Estimation for the Bateman Function via Moments of the Empirical Curve
Author(s) -
Knolle H.
Publication year - 1986
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710280105
Subject(s) - mathematics , function (biology) , simple (philosophy) , moment (physics) , estimation , mathematical analysis , physics , economics , philosophy , management , epistemology , evolutionary biology , biology , classical mechanics
The parameters of the function f(t)=c(e −at ‐e −bt ) are related in a simple way to the moments ∞ t n f(t) dt (n =0, 1, 2). Using empirical values of f , the moments can be estimated by numerical integration. Therefrom estimates of the parameters are obtained by elementary algebra.