Linearization Regions in Singular Weakly Nonlinear Regression Models with Constraints
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Lubomír Kubáček
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.Suche in Google Scholar
[2] KUBÁČEK, L.-TESAŘÍKOVÁ, E.: Weakly Nonlinear Regression Models, Palack´y University, Olomouc, 2008.Suche 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-zSuche in Google Scholar
[4] KUBÁČEK, L.: Reparametrization of weakly nonlinear regression models with constraints, Math. Slovaca (Submitted).Suche 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.Suche in Google Scholar
[6] SCHEFFÉ, H.: The Analysis of Variance (5th ed.), J. Wiley, New York-London-Sydney, 1967.Suche in Google Scholar
Mathematical Institute Slovak Academy of Sciences
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Artikel in diesem Heft
- Finite Mixed Sums wih Harmonic Terms
- Packing of ℝ2 by Crosses
- On the Integrality of the Elementary Symmetric Functions of 1, 1/3, . . . , 1/(2n − 1)
- Generalized Derivations as a Generalization of Jordan Homomorphisms Acting on Lie Ideals and Right Ideals
- Generalized Derivations on Lie Ideals and Power Values on Prime Rings
- On Monoids of Injective Partial Cofinite Selfmaps
- Extensions of Dynamic Inequalities of Hardy’s Type on Time Scales
- The Controlled Convergence Theorem for the Gap-Integral
- The Solvability of a Nonlocal Boundary Value Problem
- Oscillation Criteria for Third Order Differential Equations with Functional Arguments
- Asymptotic Behavior of Solutions of a Nonlinear Neutral Generalized Pantograph Equation with Impulses
- On Null Lagrangians
- Principal Eigenvalues for Systems of Schrödinger Equations Defined in the whole Space with Indefinite Weights
- Convergence of Series on Large Set of Indices
- On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
- Representation of Extendible Bilinear Forms
- Spectra and Fine Spectra of Lower Triangular Double-Band Matrices as Operators on Lp (1 ≤ p < ∞)
- Topological Fundamental Groups and Small Generated Coverings
- A Relation between two Kinds of Norms for Martingales
- Linearization Regions in Singular Weakly Nonlinear Regression Models with Constraints
- Parametric Equilibrium Problems Governed by Topologically Pseudomonotone Bifunctions
- Identification of a Parameter in Fourth-Order Partial Differential Equations by an Equation Error Approach
