Probability Approximation Method to J-M Model Parameter Estimation

Zhang Chang-lian · Jisuanji fangzhen · 2014

The deficiency of the traditional parameter estimation algorithm of J-M model was pointed out, the probability distribution features of software failure time was found via a deeper analysis of J-M model, the Bernoulli model was built, the precise target of J-M model parameters estimation was proposed, probability approximation parameters estimation algorithm was designed and used first time, and the algorithm was validated via the standard software reliability failure data of Navy Tactic Data System(NTDS). Compared to traditional parameter estimation algorithm based on maximum likelihood estimation and least square method, the new algorithm takes full account of the randomness of the software failure time and it is more in line with the laws of probability and statistics, not subject to extreme conditions, simple and efficient, furthermore, it has more rapid convergence. The accuracy of estimation results has a qualitative change and the results are more in line with reality. The parameter estimation method has very good application value.

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