Statistical Approach to Some Mathematical Problems
DOI:
https://doi.org/10.17713/ajs.v32i1&2.450Abstract
A number of examples illustrate the following thesis. Mathematical problems involving the Fisher information have statistical roots. The list of examples includes (i) singularity of product measures with respect to their shifts, (ii) Carlen’s superadditivity, (iii) Stam inequality, (iv) Milne’s inequality, (v) efficient score and partitioning systems of normal equations, (vi) convexity of the Fisher information matrix.
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