In this paper, the Hyper-Geometric Distribution is applied to make estimations for the number of initial faults residual in a software at the beginning of the test-and-debug phase. TheHyper-Geometric Distribution Growth Model (HGD Model) is well suitable to make estimations on the observed growth curves of the accumulated number of detected faults. The advantage of our model is the applicability to all kind of observed data.By application of a single model, exponential growth curves, as well as Sshaped growth curves can be estimated.We first present the precise formulation of the HGD Model. Secondly the exact relationship of our model to the NHPP
Goel-Okumoto Growth Model and the Delayed Sshaped GrowthModel will be shown. By assuming w ( i ) , the sensitivity factor of our model appropriately, we will establish the S-shaped HGD Growth Model. With the introduction of a variable fault d e tection rate, the goodness of fit of the estimated growth curve to the growth curve of real observed faults is increased significantly.Different examples of applicability of our model to real observed data show the characteristics of the HGD Model.Indez Terms -hyper-geometric distribution, software reliability growth model, software test and debugging, initial software faults estimation, S-shaped estimation model.
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