A necessary and sufficient criteria for the existence of the least squares estimate for a 3-parametric exponential function.

DOI10.1016/S0096-3003(02)00482-4zbMath1034.65009OpenAlexW2081714859MaRDI QIDQ1412578

Dragan Jukić

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00482-4

zbMATH Keywords

fittingnonlinear least squaresexponential modelexponential approximation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical mathematical programming methods (65K05) General nonlinear regression (62J02) Quadratic programming (90C20) Approximation by other special function classes (41A30)

Related Items

Least-squares fitting Gompertz curve ⋮ The theoretical analysis and algorithm on a class of optimal curve fitting problems ⋮ Total least squares fitting Michaelis--Menten enzyme kinetic model function ⋮ A simple proof of the existence of the best estimator in a quasilinear regression model ⋮ Criteria for global minimum of sum of squares in nonlinear regression ⋮ An existence level for the residual sum of squares of the power-law regression with an unknown location parameter ⋮ Existence of Optimal Weighted Least Squares Estimate for Three-Parametric Exponential Model ⋮ Estimating the width of a uniform distribution when data are measured with additive normal errors with known variance ⋮ Application of gradient descent method to the sedimentary grain-size distribution fitting ⋮ A review of existence criteria for parameter estimation of the Michaelis-Menten regression model ⋮ Least squares fitting Gaussian type curve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of optimal solution for exponential model by least squares
• Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function
• Discrete total \({\l}_p\)-norm approximation problem for the exponential function
• Generalized two-parameter equation of growth
• A method for solving the parameter identification problem for ordinary differential equations of the second order
• The best least squares approximation problem for a 3-parametric exponential regression model
• Relative Sizes of the Hessian Terms in Nonlinear Parameter Estimation
• Algorithms for Separable Nonlinear Least Squares Problems
• Some Special Nonlinear Least Squares Problems
• Short Lecture Session
• A Modified Prony Algorithm for Exponential Function Fitting
• Is this the least squares estimate?
• Optimal Experimental Design and Accuracy of Parameter Estimation for Nonlinear Regression Models Used in Long‐term Selection
• On the existence of the least squares estimate in nonlinear growth curve models of exponential type
• Computing Best lp Approximations by Functions Nonlinear in One Parameter
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate