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Parameter estimation method of Jelinski-Moranda (JM) model based on weightednonlinear least squares (WNLS) is proposed. The formulae of resolving theparameter WNLS estimation (WNLSE) are derived, and the empirical weightfunction and heteroscedasticity problem are discussed. The effects ofoptimization parameter estimation selection based on maximum likelihoodestimation (MLE) method, least squares estimation (LSE) method and weightednonlinear least squares estimation (WNLSE) method are also investigated. Twostrategies of heteroscedasticity decision and weighting methods embedded in JMmodel prediction process are also investigated. The experimental results onstandard software reliability analysis database-Naval Tactical Data System(NTDS) and three datasets used by J.D. Musa demonstrate that WNLSE method canbe superior to LSE and MLE under the relative error (RE) criterion.

Parameter Estimation of Jelinski-Moranda Model Based on Weighted Nonlinear Least Squares and Heteroscedasticity