Generalized Inverted Exponential c.d.f. Inverse Weibull c.d.f. “Adaptive Function of Gumbel–type with Polynomial Variable Transfer” Hausdorff Distance Filter Characteristic Emitting Chart
Academic Publications Ltd.
Kyurkchiev, V., Vasileva, M., Iliev, A., Rahnev, A., Kyurkchiev, N.. Comments on Some Inverted Cumulative Distributions: “Saturation in the Hausdorff Sense”, Applications. International Journal of Differential Equations and Applications, 20, 2, 2021, DOI:10.12732/ijdea.v20i2.5, 187-196.
International Journal of Differential Equations and Applications;20(2)
In this note we study properties of some inverted cumulative distribution 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 practice. We consider also modified families of adaptive functions with “polynomial variable transfer” with applications to the Antenna–feeder Analysis. Numerical examples, illustrating our results using CAS MATHEMATICA are given.