Maximum Likelihood Estimation of Dose-Response Functions Subject to Absolutely Monotonic Constraints
绝对单调约束下剂量反应函数的最大似然估计
Statistical properties are derived for maximum likelihood estimates of dose-response functions in which the response probability is related to the dose by means of a polynomial of unknown degree with nonnegative coefficients. Dose-response functions of this form are predicted by the multistage model of carcinogenesis. We first establish necessary and sufficient conditions for strong consistency of the estimates. For these results no assumptions are made about the polynomial…