- Communications in Advanced Mathematical Sciences
- Vol: 1 Issue: 1
- A note on the "saturation" of poisson-exponential cumulative function in Hausdorff sense
A note on the "saturation" of poisson-exponential cumulative function in Hausdorff sense
Authors : Anton Iliev, Nikolay Kyurkchiev
Pages : 39-44
Doi:10.33434/cams.444785
View : 10 | Download : 5
Publication Date : 2018-09-30
Article Type : Research
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