Estimation of parameters in the singular Gauss-Markoff model

Radhakrishna Rao, C. (1979) Estimation of parameters in the singular Gauss-Markoff model Communications in Statistics - Theory and Methods, 8 (14). pp. 1353-1358. ISSN 0361-0926

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0361092...

Related URL: http://dx.doi.org/10.1080/03610927908827835

Abstract

Consider the Gauss-Markoff model (Y, Xβ, σ2V) in the usual notation (Rao, 1973a, p. 294). If V is singular, there exists a matrix N such that N'Y has zero covariance. The minimum variance unbiased estimator of an estimable parametric function p'β is obtained in the wider class of (non-linear) unbiased estimators of the form f(N'Y) + Y'g(N'Y) where f is a scalar and g is a vector function.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Gauss-Markoff Model; Unbiased Estimation; Singular Dispersion Matrix
ID Code:71849
Deposited On:28 Nov 2011 04:10
Last Modified:28 Nov 2011 04:10

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