On estimating nonnegative definite quadratic forms |
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Authors: | Vidyasagar Ramchandra Padmawar |
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Affiliation: | (1) Stat-Math. Division, Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore, 560059, India (e-mail: vrp@isibang.ac.in), IN |
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Abstract: | It is often required to estimate a quadratic form in survey sampling, especially when one has to estimate the mean squared error of a linear estimator of the population total. In this note we consider the problem of obtaining uniformly nonnegative quadratic unbiased estimators for nonnegative definite quadratic forms. The estimators considered here are necessarily quadratic. Received January 1997 |
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Keywords: | : Nonnegative definite quadratic form quadratic estimator unbiasedness uniform nonnegativity |
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