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Parameter Estimation for the Bateman Function via Moments of the Empirical Curve
Authors:H Knolle
Abstract:The parameters of the function f(t)=c(e?at-e?bt) are related in a simple way to the moments tnf(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.
Keywords:Nonlinear regression  Curve fitting  Bateman function  Pharmacokinetics  Numerical integration
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