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PROPERTIES OF A GENERALIZED FAMILY OF DISTRIBUTIONS BY ALTUN ET ALL [1]

Maria Vasileva, Anton Iliev, Asen Rahnev, Nikolay Kyurkchiev

Abstract


In this article we study properties of a generalized G family of cu-mulative distribution functions (CDFs) proposed by Altun et all. [1]. More precisely,we prove estimates for the ”saturation” - d about Hausdorff metric. The techniqueused can be successfully applied to other commonly used CDFs in practice. Also weconstruct and study families of recurrence generated adaptive functions based on theG–family. We consider modified families of adaptive functions with ”polynomial vari-able transfer” with applications to the Antenna–feeder Analysis. Numerical examples,illustrating our results using CAS MATHEMATICA are given.

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