This paper considers a novel modeling framework of software reliability models (SRMs). The proposed SRMs are based on the mixed Poisson distribution (MPD), which can involve the non-homogeneous Poisson process (NHPP) based SRMs completely, but are not always equivalent to them. More precisely, the MPD-based SRMs provide a mixture of NHPPs, and their statistical properties follows the mixed Poisson process. We develop a parameter estimation method for the MPD-based SRMs based on EM algorithm. In numerical examples, we mainly investigate the difference between conventional NHPP-based SRMs and MPD-based SRMs in the viewpoints of estimating parameters and software reliability.
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