Testing the Existence of Change-Point in NHPP Software Reliability Models |
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Authors: | Jin Zhao Jinde Wang |
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Institution: | 1. Department of Mathematics , Nanjing University , Nanjing, P.R. China zhaojin@nju.edu.cn;3. Department of Mathematics , Nanjing University , Nanjing, P.R. China |
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Abstract: | In the software testing process, the nature of the failure data is affected by many factors, such as the testing environment, testing strategy, and resource allocation. These factors are unlikely to all be kept stable during the entire process of software testing. As a result, the statistical structure of the failure data is likely to experience major changes. Recently, some useful non homogeneous Poisson process (NHPP) models with change-point are proposed. However, in many realistic situations, whether a change-point exists is unknown. Furthermore, some real data seem to have two or more change-points. In this article we propose test statistics to test the existence of change-point(s). The experimental results of real data show that our tests perform well. |
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Keywords: | Change-point Likelihood ratio test Maximum likelihood estimation NHPP model Software reliability |
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