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A Simple Proof of the Existence of the Best Estimator in a Quasilinear Regression Model

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  • Dragan Jukić

    (J.J. Strossmayer University of Osijek)

Abstract

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.

Suggested Citation

  • Dragan Jukić, 2014. "A Simple Proof of the Existence of the Best Estimator in a Quasilinear Regression Model," Journal of Optimization Theory and Applications, Springer, vol. 162(1), pages 293-302, July.
    • Handle: RePEc:spr:joptap:v:162:y:2014:i:1:d:10.1007_s10957-013-0434-1
    DOI: 10.1007/s10957-013-0434-1
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    References listed on IDEAS

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    1. E. Demidenko, 2008. "Criteria for Unconstrained Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 136(3), pages 375-395, March.
    2. Demidenko, Eugene, 2006. "Criteria for global minimum of sum of squares in nonlinear regression," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1739-1753, December.
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