A note on the `saturation` of poisson-exponential cumulative function in Hausdorff sense

Authors : Anton ILİEV, Nikolay Kyurkchiev

Pages : 39-44

Doi:10.33434/cams.444785

View : 16 | Download : 9

Publication Date : 2018-09-30

Article Type : Research Paper

Abstract :In this paper we study the important ``saturation`` characteristic for the Poisson--exponential cumulative distribution function in the Hausdorff sense. The results have independent significance in the study of issues related to lifetime analysis, insurance mathematics, biochemical kinetics, population dynamics and debugging theory. Numerical examples, illustrating our results are presented using programming environment Mathematica.
Keywords : Hausdorff distance, Poisson exponential cumulative distribution function Pcdf, Upper and lower bounds