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Further Results on Samuelson's Inequality

Richard William Farebrother ()

A chapter in Statistical Inference, Econometric Analysis and Matrix Algebra, 2009, pp 311-316 from Springer

Abstract: Abstract In this paper we show that Samuelson's [11] inequality is essentially due to Gauss [6] whilst a more general result of the same type is due to Aitken [1, 2]. We also show that the adding-up constraint on the deviations from sample means implicit in Trenkler and Puntanen's [14] multivariate generalisation of Samuelson's Inequality can be regarded as a special case of a more general formulation involving a set of linear constraints on the deviations.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7908-2121-5_20

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DOI: 10.1007/978-3-7908-2121-5_20

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