Abstract
This paper provides a numerical technique for determining the parameters in a model expressible as the sum of exponential. The essence of the method is to rewrite the model so that after approximations are substituted in place of certain functions of the parameters, the resulting model is linear. The parameters in the linear model are then estimated by least squares. The proposed method accomplishes three primary objectives: (1) parameters are determined in a non-iterative manner, (2) data are not restricted to equal spacing, (3) computer execution time is extremely short. The theory has been developed for both the sum of two and three exponential functions. The method has been programmed in Fortran IV and applied to decay-type data.
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