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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.

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