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Abstract: In this paper we discuss the problem of fitting the exponential model f (t) = P p i=1 a i (1 \Gamma exp (\Gammab i t)) to empirical data y (t j ) ; j = 1; ::; m. The number of terms p is determined by an information criterion and the parameters a = [a 1 ; :::; a p ] and b = [b 1 ; :::; b p ] are determined by a least squares criterion. An algorithm is developed which finds initial values for the nonlinear parameter estimation problem. Test results are presented. KEYWORDS: MATLAB,... (Update)
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.... International Symposium of Mathematical Programming 1997 and in [65] Further developments are described in a series of papers [68, 67, 66, 70, 69]. Section 5 presents some statistical aspects such as Monte Carlo methods, information theory, the choice of weights in weighted...
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BibTeX entry: (Update)
Joran Petersson and Kenneth Holmstrom. Methods for Parameter Estimation in Exponential Sums. In Arne Lkketangen, editor, Proceedings from the 5th Meeting of the Nordic Section of the Mathematical Programming Society, Molde, 1998. Division of Operations Research, Molde University. To be published. http://citeseer.ist.psu.edu/article/petersson98methods.html More
@misc{ petersson98methods,
author = "J. Petersson and K. Holmstrom",
title = "Methods for Parameter Estimation in Exponential Sums",
text = "Joran Petersson and Kenneth Holmstrom. Methods for Parameter Estimation
in Exponential Sums. In Arne Lkketangen, editor, Proceedings from the 5th
Meeting of the Nordic Section of the Mathematical Programming Society, Molde,
1998. Division of Operations Research, Molde University. To be published.",
year = "1998",
url = "citeseer.ist.psu.edu/article/petersson98methods.html" }
Citations (may not include all citations):519 System Identification - Theory for the User (context) - Ljung - 1987
70 Fitting autoregressive models for prediction (context) - Akaike - 1969
14 Variational methods for non-linear least squares (context) - Al-Baali, Fletcher - 1985
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7 A method for fitting linear combinations of exponentials (context) - Cornell - 1962
7 A modified Prony algorithm for exponential function fitting - Osborne, Smyth - 1995 ACM
5 A direct method for fitting linear combinations of exponenti.. (context) - Agha - 1971
5 Initial values for a class of exponential sum least squares .. - Petersson, Holmstrom - 1998
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