Home Linearization Regions in Singular Weakly Nonlinear Regression Models with Constraints
Article
Licensed
Unlicensed Requires Authentication

Linearization Regions in Singular Weakly Nonlinear Regression Models with Constraints

  • Lubomír Kubáček EMAIL logo
Published/Copyright: December 9, 2015
Become an author with De Gruyter Brill

Abstract

A linearization of nonlinear regression models is frequently used in practice. A recognition whether it can be done need some additional investigation. Some problems occur when constraints are involved in the model mainly when the model is singular. One possible solution is given in the paper.

References

[1] FIŠEROVÁ, E.-KUBÁČEK, L.-KUNDEROVÁ, P.: Linear Statistical Models; Regularity and Singularities, Academia, Praha, 2007.Search in Google Scholar

[2] KUBÁČEK, L.-TESAŘÍKOVÁ, E.: Weakly Nonlinear Regression Models, Palack´y University, Olomouc, 2008.Search in Google Scholar

[3] KUBÁČEK, L.: A measure of nonlinearity in singular regression models, Math. Slovaca 59 (2009), 535-644.10.2478/s12175-009-0146-zSearch in Google Scholar

[4] KUBÁČEK, L.: Reparametrization of weakly nonlinear regression models with constraints, Math. Slovaca (Submitted).Search in Google Scholar

[5] RAO, C. R.-MITRA, S. K.: Generalized Inverse of Matrices and Its Applications, John Wiley & Sons, Inc., New York-London-Sydney-Toronto, 1971.Search in Google Scholar

[6] SCHEFFÉ, H.: The Analysis of Variance (5th ed.), J. Wiley, New York-London-Sydney, 1967.Search in Google Scholar

Received: 2012-10-23
Accepted: 2013-1-23
Published Online: 2015-12-9
Published in Print: 2015-10-1

Mathematical Institute Slovak Academy of Sciences

Articles in the same Issue

  1. Finite Mixed Sums wih Harmonic Terms
  2. Packing of ℝ2 by Crosses
  3. On the Integrality of the Elementary Symmetric Functions of 1, 1/3, . . . , 1/(2n − 1)
  4. Generalized Derivations as a Generalization of Jordan Homomorphisms Acting on Lie Ideals and Right Ideals
  5. Generalized Derivations on Lie Ideals and Power Values on Prime Rings
  6. On Monoids of Injective Partial Cofinite Selfmaps
  7. Extensions of Dynamic Inequalities of Hardy’s Type on Time Scales
  8. The Controlled Convergence Theorem for the Gap-Integral
  9. The Solvability of a Nonlocal Boundary Value Problem
  10. Oscillation Criteria for Third Order Differential Equations with Functional Arguments
  11. Asymptotic Behavior of Solutions of a Nonlinear Neutral Generalized Pantograph Equation with Impulses
  12. On Null Lagrangians
  13. Principal Eigenvalues for Systems of Schrödinger Equations Defined in the whole Space with Indefinite Weights
  14. Convergence of Series on Large Set of Indices
  15. On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
  16. Representation of Extendible Bilinear Forms
  17. Spectra and Fine Spectra of Lower Triangular Double-Band Matrices as Operators on Lp (1 ≤ p < ∞)
  18. Topological Fundamental Groups and Small Generated Coverings
  19. A Relation between two Kinds of Norms for Martingales
  20. Linearization Regions in Singular Weakly Nonlinear Regression Models with Constraints
  21. Parametric Equilibrium Problems Governed by Topologically Pseudomonotone Bifunctions
  22. Identification of a Parameter in Fourth-Order Partial Differential Equations by an Equation Error Approach
Downloaded on 10.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/ms-2015-0081/html
Scroll to top button