A review of the parameter estimation problem of fitting positive exponential sums to empirical data
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Publication:1855142
DOI10.1016/S0096-3003(00)00138-7zbMath1023.65009MaRDI QIDQ1855142
Jöran Petersson, Kenneth Holmström
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
cross-validationcurve fittingsecant methodinterpolation methodstatistical methodsGauss-Newton methodtransform methodquasi-Newton algorithmmaximal likelihoodweighted nonlinear least-squares
Numerical smoothing, curve fitting (65D10) Point estimation (62F10) Trigonometric and exponential sums (general theory) (11L03) Evaluation of number-theoretic constants (11Y60)
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Cites Work
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- Exponential interpolation: Theory and numerical algorithms
- A simple inversion method for determining aerosol size distributions
- On the partial realization problem
- Modeling by shortest data description
- A class of small sample nonlinear least squares problems
- Regular \(C^ 1-\)parametrizations for exponential sums and splines
- Factorized quasi-Newton methods for nonlinear least squares problems
- Nonlinear optimization: Characterization of structural stability
- Eine Klasse von Verfahren zur Ermittlung bester nichtlinearer Tschebyscheff-Approximationen
- On rational \(L_2\)-Approximation
- Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures
- Chebyshev approximation by \(\gamma\)-polynomials. III. On the number of best approximations
- A unified approach to differential characterizations of local best approximations for exponential sums and splines
- On the nonuniqueness of monosplines with least L\(_2\)-norm
- On the use of a linear model for the identification of feedback systems
- A Modified Prony Algorithm for Fitting Functions Defined by Difference Equations
- A Method for Fitting Linear Combinations of Exponentials
- On the recovery and resolution of exponential relaxation rates from experimental data II. The optimum choice of experimental sampling points for Laplace transform inversion
- Variational Methods for Non-Linear Least-Squares
- Structural stability in nonlinear optimization
- Hybrid Methods for Nonlinear Least Squares
- On Least Squares Exponential Sum Approximation With Positive Coefficients
- Some Recent Approaches to Solving Large Residual Nonlinear Least Squares Problems
- Least Squares Approximation of Completely Monotonic Functions by Sums of Exponentials
- Fitting Empirical Data by Positive Sums of Exponentials
- An Adaptive Nonlinear Least-Squares Algorithm
- Algorithms for Separable Nonlinear Least Squares Problems
- A Parallel Nonlinear Least-Squares Solver: Theoretical Analysis and Numerical Results
- Specialised versus general-purpose algorithms for minimising functions that are sums of squared terms
- Some Special Nonlinear Least Squares Problems
- Decomposition of Multicomponent Exponential Decays by Spectral Analytic Techniques
- Fitting Systems of Linear Differential Equations Using Computer Generated Exact Derivatives
- Nonlinear least squares — the Levenberg algorithm revisited
- An Empirical Study of Jackknife-Constructed Confidence Regions in Nonlinear Regression
- On the Use of Product Structure in Secant Methods for Nonlinear Least Squares Problems
- A Modified Prony Algorithm for Exponential Function Fitting
- 363: On the Fitting of Linear Combinations of Exponentials
- A modified prony algorithm for estimating sinusoidal frequencies
- On Fitting Exponentials by Nonlinear Least Squares
- The Validity of a Family of Optimization Methods
- Recursive Identification of Linear Systems
- On Approximation by Positive Sums of Powers
- On the recovery and resolution of exponential relaxational rates from experimental data: Laplace transform inversions in weighted spaces
- A new look at the statistical model identification