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On exact confidence intervals in a competing risks model with generalized hybrid type-I censored exponential data

机译:在具有广义混合I型删失指数数据的竞争风险模型中的精确置信区间

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摘要

In a recent paper by Mao, Shi and Sun that appeared in Journal of Statistical Computation and Simulation, the authors discuss, among other approaches, the construction of exact confidence intervals for the underlying parameters by 'pivoting the cumulative distribution functions' of the corresponding maximum likelihood estimators (MLEs). The authors assume that this method is applicable without providing the appropriate justification. In this short note the two requirements for the applicability of this method are discussed, namely, the stochastic monotonicity of the MLEs and the existence of solutions to the equations defining the exact confidence interval's endpoints.
机译:在最近发表于《统计计算与模拟》杂志上的Mao,Shi和Sun的一篇论文中,作者讨论了通过“枢转相应最大值的累积分布函数”构造基础参数的精确置信区间等方法。似然估计器(MLE)。作者假设该方法适用,而没有提供适当的理由。在此简短说明中,讨论了该方法适用性的两个要求,即MLE的随机单调性和定义精确的置信区间端点的方程的解的存在。

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