A Simple Proof of the Existence of the Best Estimator in a Quasilinear Regression Model
We provide a theorem on the existence of the best estimator in a quasilinear regression model, from which the existence of the best estimator for the whole class of nonlinear model functions follows immediately. The obtained theorem both extends and generalizes the previously known existence result....
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| Veröffentlicht in: | Journal of optimization theory and applications 2014-07, Vol.162 (1), p.293-302 |
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| container_title | Journal of optimization theory and applications |
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| creator | Jukic, Dragan |
| description | We provide a theorem on the existence of the best estimator in a quasilinear regression model, from which the existence of the best estimator for the whole class of nonlinear model functions follows immediately. The obtained theorem both extends and generalizes the previously known existence result. Our proof is elementary and rests on the basic knowledge of linear algebra and calculus. |
| doi_str_mv | 10.1007/s10957-013-0434-1 |
| format | Article |
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| subjects | Analysis Applications of Mathematics Calculus Calculus of Variations and Optimal Control Optimization Engineering Estimating techniques Estimators Existence theorems Linear algebra Mathematical analysis Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Proving Regression Regression analysis Studies Theorems Theory of Computation |
| title | A Simple Proof of the Existence of the Best Estimator in a Quasilinear Regression Model |
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