Uniform Convergence for Moment Problems with Fermi-Dirac Type Entropies

Borwein, Jonathan M. and Huang, W. (1994) Uniform Convergence for Moment Problems with Fermi-Dirac Type Entropies. Zeitschrift für Operations Research, 40 (3). pp. 239-252.

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Postscript
We consider the best entropic estimation to a unknown density $\bar{x}$, given some of its algebraic or trigonometric moments. A uniform convergence theorem is established in this paper for such problems using Fermi-Dirac type entropic objectives.