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Improvement of Some Multidimensional Estimates by Reduction of Dimensionality

โœ Scribed by L. Ferre

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
490 KB
Volume
54
Category
Article
ISSN
0047-259X

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โœฆ Synopsis

We consider in this paper a set of (k p)-variates from which (k) unbiased estimates of a multidimensional parameter are obtained. Our goal is to propose an improvement of those estimates based on projections onto lower dimensional spaces. The quality of estimation is measured by the mean square error (MSE) of estimation. Asymptotic expansion of these MSEs are given and estimates of these MSEs are proposed for practical use. Finally, several examples of applications are given. 1995 Academic Press, Inc.

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Three new improved regression estimators of heritability viz. modified range restricted estimator, minimum quadratic loss estimator and minimax h e a r restricted estimator are proposed. In addition, these estimatore are illustrated and compared numerically with the existing restricted estimator bas