Moreau T, Le Minor M, Myquel P, Lellouch J
Biometrics. 1985 Mar;41(1):245-52.
A simple estimator of the hazards ratio of two grouped samples is proposed. If the number of time grouping intervals is fixed, the following asymptotics hold: unbiasedness, and full efficiency when the true hazards ratio is 1 and the probability of failure in each interval is small. Under the latter condition, the estimator is equivalent to "MHP" estimator (Mantel-Haenszel estimator for a Poisson model). Simulations show that this estimator performs better than others when grouping is coarse. An asymptotically unbiased estimator of its variance is proposed.
提出了一种两个分组样本风险比的简单估计量。如果时间分组区间的数量固定,则有以下渐近性质成立:无偏性,并且当真实风险比为1且每个区间内的失败概率较小时具有完全效率。在后一种条件下,该估计量等同于“MHP”估计量(泊松模型的曼特尔-亨泽尔估计量)。模拟表明,当分组较粗糙时,该估计量比其他估计量表现更好。还提出了其方差的渐近无偏估计量。