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Asymptotic properties of LSE of regression coefficients on singular random fields observed on a sphere

✍ Scribed by Ahmed H. El-Bassiouny

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 145 KB
Volume: 18
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(03)00210-8

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✦ Synopsis

We present some upper bounds on the rate of convergence in the central limit theorem for normalized least square estimates (LSE) in a spherical regression model with long range dependence (LRD) stationary errors. The used method is based on the asymptotic analysis of orthogonal expansion of non-linear functionals of homogeneous isotropic Gaussian random fields and on the Kolmogorov distance. The theory have many applications in science for instance in evaluating the COBE data.

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