Estimating the Proportion of True Null Hypotheses, with application to DNA Microarray Data
真实零假设比例的估计及其在 DNA 微阵列数据中的应用
Summary We consider the problem of estimating the proportion of true null hypotheses, π0, in a multiple-hypothesis set-up. The tests are based on observed p-values. We first review published estimators based on the estimator that was suggested by Schweder and Spjøtvoll. Then we derive new estimators based on nonparametric maximum likelihood estimation of the p-value density, restricting to decreasing and convex decreasing densities. The estimators of π0 are all derived under…