We carry out parametric inferences to a breast cancer data set which is right censored using the uniform distribution U(a, b). Under right censoring, it is rare that one can find the explicit solution to the maximum likelihood estimator (MLE) under the parametric set-up, except for the exponential distribution \(Exp(\theta )\). We show that the MLE of a has a closed form solution, whereas the MLE of b has a closed form solution in some sense. We further propose a diagnostic plotting method and test for U(a, b). The asymptotic properties of the MLE are also investigated. It turns out that this breast cancer data set fits both U(a, b) and \(Exp(\theta )\). Moreover, U(a, b) leads to more useful and reasonable inferences than those using the product-limit estimator or using the MLE of \(Exp(\theta )\).

我们对使用均匀分布U ( a ,  b )进行右删失的乳腺癌数据集进行参数推断。在右删失下，除了指数分布\(Exp(\theta )\)之外，很少有人可以在参数设置下找到最大似然估计 (MLE) 的显式解。我们证明了 a 的 MLE具有封闭形式的解，而b的 MLE在某种意义上具有封闭形式的解。我们进一步提出了一种诊断绘图方法并测试U ( a ,  b）。还研究了 MLE 的渐近特性。事实证明，这个乳腺癌数据集适合U ( a ,  b ) 和\(Exp(\theta )\)。此外，与使用乘积极限估计器或使用\(Exp(\theta )\)的 MLE 相比， U ( a ,  b ) 会导致更有用和更合理的推论。