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Nonnegative-definite covariance structures for which the least squares estimator is the best linear unbiased estimator
Nonnegative-definite covariance structures the least squares estimator
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2010/9/15
For the Gauss-Markov model with E(y) = Xβ and Var(y) = V,we establish a new explicit characterization of the general nonnegative-definite covariance structure V such that the best
linear unbiased est...
Recursive Least Squares Estimator with Multiple Exponential Windows in Vector Autoregression
exponential window rectangular window
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2007/12/11
In the parameter tracking of time-varying systems, the ordinary method is weighted least squares with the rectangular window or the exponential window. In this paper we propose a new kind of sliding w...
A Note on the Nonparametric Least-squares Test for Checking a Polynomial Relationship
ocal polynomial fitting polynomial regression
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2007/12/10
Recently, Gijbels and Rousson suggested a new approach, called nonparametric least-squares test, to check polynomial regression relationships. Although this test procedure is not only simple but also ...