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.
@article{104452, author = {Franti\v sek \v Stulajter}, title = {Consistency of linear and quadratic least squares estimators in regression models with covariance stationary errors}, journal = {Applications of Mathematics}, volume = {36}, year = {1991}, pages = {149-155}, zbl = {0727.62087}, mrnumber = {1097699}, language = {en}, url = {http://dml.mathdoc.fr/item/104452} }
Štulajter, František. Consistency of linear and quadratic least squares estimators in regression models with covariance stationary errors. Applications of Mathematics, Tome 36 (1991) pp. 149-155. http://gdmltest.u-ga.fr/item/104452/
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