Criteria for global minimum of sum of squares in nonlinear regression

DOI10.1016/j.csda.2006.06.015zbMath1157.62456OpenAlexW2029344049MaRDI QIDQ1010525

Eugene Demidenko

Publication date: 6 April 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2006.06.015

zbMATH Keywords

uniquenessconvexitycurvaturenonlinear regressionglobal minimizationunimodality

Mathematics Subject Classification ID

General nonlinear regression (62J02)

Related Items (14)

Unnamed Item ⋮ A hybrid global optimization algorithm for nonlinear least squares regression ⋮ Model selection in linear mixed effect models ⋮ A simple proof of the existence of the best estimator in a quasilinear regression model ⋮ Criteria for unconstrained global optimization ⋮ On nonlinear weighted least squares estimation of Bass diffusion model ⋮ TheL_p-norm estimation of the parameters for the Jelinski–Moranda model in software reliability ⋮ On the existence of the best discrete approximation in \(l_p\) norm by reciprocals of real polynomials ⋮ An existence criterion for the nonlinear \(\ell_p\)-norm fitting problem ⋮ An existence level for the residual sum of squares of the power-law regression with an unknown location parameter ⋮ Nonlinear weighted least squares estimation of a three-parameter Weibull density with a nonparametric start ⋮ A necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set ⋮ On the existence of the nonlinear weighted least squares estimate for a three-parameter Weibull distribution ⋮ On parameter estimation in the bass model by nonlinear least squares fitting the adoption curve

Uses Software

• nlmdl

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence theorems of a maximum likelihood estimate from a generalized censored data sample
• On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples
• Parameter transformations for improved approximate confidence regions in nonlinear least squares
• Quasi-convex sets and size \(\times\) curvature condition, application to nonlinear inversion
• Handbook of global optimization
• Solution of the least-squares problem for logistic function
• A necessary and sufficient criteria for the existence of the least squares estimate for a 3-parametric exponential function.
• Least-squares fitting Gompertz curve
• Conceptual frameworks for mathematical modeling of tumor growth dynamics
• Differential-geometrical methods in statistics
• A Quadratic Design Criterion for Precise Estimation in Nonlinear Regression Models
• The necessary and sufficient conditions for single extremality in non-convex problems of mathematical programming
• New Size $ \times $ Curvature Conditions for Strict Quasiconvexity of Sets
• The Power of the Likelihood Ratio Test of Location in Nonlinear Regression Models
• Is this the least squares estimate?
• Mixed Models
• Curvature measures for multiresponse regression models
• ON CONFIDENCE REGIONS OF EMBEDDED MODELS IN REGULAR PARAMETRIC FAMILIES (A GEOMETRIC APPROACH)
• On the existence of the least squares estimate in nonlinear growth curve models of exponential type

This page was built for publication: Criteria for global minimum of sum of squares in nonlinear regression