SOME DETERMINISTIC GROWTH CURVES WITH APPLICATIONS TO SOFTWARE RELIABILITY ANALYSIS

The Hausdorff approximation of the shifted Heaviside function ht0(t) by sigmoidal functions based on the Pham [1] and Song–Chang–Pham [2] cumulative functions is investigated and an expression for the error of the best approximation is obtained in this paper. The results of numerical examples confirm theoretical conclusions and they are obtained using programming environment Mathematica. We give real examples with data provided by IBM entry software package [3] using Song– Chang–Pham [2] software reliability model. AMS Subject Classification: 68N30, 41A46

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