We consider the problem of estimating regression models of two-dimensional random fields. Asymptotic properties of the least squares estimator of the linear regression coefficients are studied for the case where the disturbance is a homogeneous random field with an absolutely continuous spectral dis
Least-square estimation for regression on random designs for absolutely regular observations
โ Scribed by Gabrielle Viennet
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 137 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0167-7152
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โฆ Synopsis
We investigate the rates of convergence of least-square estimator on sieves for regression under various weak dependency assumptions. We provide a control in probability for the rate of convergence and we show how to construct estimators of a smooth regression function at a rate which is known to be optimal in the independent and identically distributed case.
๐ SIMILAR VOLUMES
Least-squares regression analysis is widely used in analytical method comparison studies even though model assumptions are typically violated. The advantages favoring the use of the least-squares technique, when applicable, are that its theoretical characteristics are thoroughly developed and the ca