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A generalized JM model with applications to imperfect debugging in software reliability
Authors:Yen-Chang Chang  Ching-Ti Liu
Institution:1. Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu, Taiwan, ROC;2. Department of Biostatistics, Boston University, Boston, MA 02118, USA
Abstract:For their nice mathematical properties, state space models have been widely used, especially for forecasting. Over the last decades, the study of tracking software reliability by statistical models has attracted scientists’ attention. However, most of models focus on perfect debugging although practically imperfect debugging arises everywhere. In this paper, a non-Gaussian state space model is modified to predict software failure time with imperfect debugging. In fact, this model is very flexible so that we can modify the system equation in this model to satisfy the various situations. Besides, this model is suitable for tracking software reliability, and applied to two well known datasets on software failures.
Keywords:Forecasting  Gibbs sampling  Prequential likelihood ratio  Self-exciting point process  Supermartingale
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