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A NOTE ON THE WILSON-HILFERTY DISTRIBUTION

Nikolay Kyurkchiev, Anton Iliev, Asen Rahnev

Abstract


P. Ramos, M. Almeida, V. Tomazella and F. Louzada (Anais daAcademia Brasileira de Ciencias, 91 (2019), 28 pp.) presented some mathematicalproperties of the Wilson–Hilferty distribution. The aim of this note is to study ”satu-ration” of the cumulative sigmoid to the horizontal asymptote with respect to Hausdorff distance. We prove upperand lower estimates for the one–sided Hausdorff approximation of the Heaviside step–function ht1 (t) by means of this function. Numerical examples using CAS Mathematica,illustrating our results are given.

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