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**On software and system reliability growth and testing.**
*(English)*
Zbl 1442.62218

Summary: N. D. Singpurwalla presents an insightful proposal on foundations of reliability [ibid. 31, No. 4, 521–540 (2016; Zbl 1442.62221)], suggesting to consider reliability not as a probability but as a propensity, in particular as the unobservable parameter in De Finetti’s famous representation theorem. One specific issue considered is reliability growth, with example scenario the performance of software as it evolves over time. We briefly discuss some related aspects, mainly based on applied research on statistical methods to support software testing and insights from our research on system reliability.

### MSC:

62N05 | Reliability and life testing |

62P30 | Applications of statistics in engineering and industry; control charts |

68M15 | Reliability, testing and fault tolerance of networks and computer systems |

### Citations:

Zbl 1442.62221### References:

[1] | Coolen, F. P. A. (2012). On some statistical aspects of software testing and reliability. In Complex Systems and Dependability (W. Zamojski, J. Mazurkiewicz, J. Sugier, T. Walkowiak and J. Kacprzyk, eds.) 103-113. Springer, Berlin. |

[2] | Coolen, F. P. A. and Coolen-Maturi, T. (2012). On generalizing the signature to systems with multiple types of components. In Complex Systems and Dependability (W. Zamojski, J. Mazurkiewicz, J. Sugier, T. Walkowiak and J. Kacprzyk, eds.) 115-130. Springer, Berlin. · Zbl 1258.62097 |

[3] | Coolen, F. P. A. and Coolen-Maturi, T. (2016). The structure function for system reliability as predictive (imprecise) probability. Reliab. Eng. Syst. Saf.154 180-187. |

[4] | Coolen, F. P. A., Goldstein, M. and Munro, M. (2001). Generalized partition testing via Bayes linear methods. Inf. Softw. Technol.43 783-793. |

[5] | Coolen, F. P. A., Goldstein, M. and Wooff, D. A. (2007). Using Bayesian statistics to support testing of software systems. J. Risk Reliab.221 85-93. |

[6] | Coolen-Maturi, T. and Coolen, F. P. A. (2011). Unobserved, re-defined, unknown or removed failure modes in competing risks. J. Risk Reliab.225 461-474. |

[7] | Samaniego, F. J. (2007). System Signatures and Their Applications in Engineering Reliability. International Series in Operations Research & Management Science110. Springer, New York. · Zbl 1154.62075 |

[8] | Singpurwalla, N. D. (2016). Filtering and tracking survival propensity (reconsidering the foundations of reliability). Statist. Sci.31 521-540. · Zbl 1442.62221 |

[9] | Wooff, D. A., Goldstein, M. and Coolen, F. P. A. (2002). Bayesian graphical models for software testing. IEEE Trans. Softw. Eng.28 510-525. |

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