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COMMENTS ON SOME INVERTED CUMULATIVE DISTRIBUTIONS: “SATURATION IN THE HAUSDORFF SENSE”, APPLICATIONS

Vesselin Kyurkchiev, Maria Vasileva, Anton Iliev, Asen Rahnev, Nikolay Kyurkchiev

Abstract


In this note we study properties of some inverted cumulative distri-bution functions (CDFs). More precisely, we prove estimates for the “saturation” –d about Hausdorff metric using two–parameters generalized inverted exponential c.d.f.The technique used can be successfully applied to other commonly used CDFs in prac-tice. We consider also modified families of adaptive functions with “polynomial variabletransfer” with applications to the Antenna–feeder Analysis. Numerical examples, illus-trating our results using CAS MATHEMATICA are given.

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