In this paper we prove upper and lower estimates for the one-sided Hausdorff approximation of the Heaviside step-function h_(t*) (t) by means of a xgamma cumulative sigmoid (XGCS) [1]. Some applications of the presented cumulative sigmoid for analysis of the "data on the development of the Drosophila melanogaster population", published by biologist Raymond Pearl in 1920 (see, also [3]), and the "actual data to estimate the number of software residual faults" [4]-[5]. Numerical examples using CAS Mathematica, illustrating our results are given.
展开▼
