Some Comments and a Bibliography on the Laguerre-Samuelson Inequality with Extensions and Applications in Statistics and Matrix Theory

  • Jensen S
  • Styan G
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Abstract

I treat Laguerre's 1880 theorem on polynomials whose roots are all real , and a 1968 inequality of Samuelson for the extreme deviations from the mean. I also treat related inequalities. My scope is statistics and linear algebra.

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Jensen, S. T., & Styan, G. P. H. (1999). Some Comments and a Bibliography on the Laguerre-Samuelson Inequality with Extensions and Applications in Statistics and Matrix Theory. In Analytic and Geometric Inequalities and Applications (pp. 151–181). Springer Netherlands. https://doi.org/10.1007/978-94-011-4577-0_10

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