On estimation of a covariance function of stationary errors in a nonlinear regression model.
Štulajter, F. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Štulajter, F. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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S. Trybuła (1991)
Applicationes Mathematicae
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J. Jurečková (1983)
Acta Universitatis Carolinae. Mathematica et Physica
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Petr Volf (1988)
Kybernetika
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Kybernetika
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Applications of Mathematics
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The least squres invariant quadratic estimator of an unknown covariance function of a stochastic process is defined and a sufficient condition for consistency of this estimator is derived. The mean value of the observed process is assumed to fulfil a linear regresion model. A sufficient condition for consistency of the least squares estimator of the regression parameters is derived, too.