Rationality and Unbiasedness in Hypothesis Testing
定义了“理性准则”，用于处理删失数据的统计方法。在假设检验中，将该准则应用于比较两个分布尺度参数的一致最强大无偏检验时，有时能确定无偏检验，有时不能，从而探讨理性与无偏性哪个更合理。
Abstract The notion of a "rationality criterion" is defined. This criterion reflects a desirable property for statistical procedures that deal with censored data. In hypothesis testing situations, we show that when adapting this criterion to a uniformly most powerful unbiased (UMPU) test of comparing the scale parameters of two distributions, sometimes it is possible to determine a test so that it is unbiased and sometimes this is impossible. The question thus remains: What is more "rational"—the "rationality criterion" or unbiasedness? Key Words: Censoring principleLikelihood principleNeyman-Pearsonian inferenceType I censoringUnbiased testing