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可靠性分析的贝叶斯非参数方法AI 解读

It is suggested that problems in a reliability context may be handled by a Bayesian nonparametric approach. A stochastic process is defined whose sample paths may be assumed to be increasing hazard rates by properly choosing the parameter functions of the process. The posterior distribution of the hazard rates is derived for both exact and censored data. Bayes estimates of hazard rates and $\operatorname{cdf's}$ are found under squared error type loss functions. Some…

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多维 Kolmogorov 拟合优度检验AI 解读

We present a goodness-of-fit test for multidimensional distributions which is a natural extension of the classical one-dimensional Kolmogorov test. The test is distribution free and the null distribution of the test statistic is the same as the univariate Kolmogorov test statistic in all higher dimensions.