title: Global rates of convergence of the MLE for multivariate interval censoring.
abstract: We establish global rates of convergence of the Maximum Likelihood Estimator (MLE) of a multivariate distribution function on ℝdin the case of (one type of) "interval censored" data. The main finding is that the rate of convergence of the MLE in the Hellinger metric is no worse thann-1/3(logn)γfor γ = (5d- 4)/6.
authors.affiliation: Department of Mathematics, University of Idaho, Moscow, Idaho 83844-1103, fuchang@uidaho.edu.
authors.forename: Fuchang
authors.initials: F
authors.lastname: Gao
authors.forename: Jon A
authors.initials: JA
authors.lastname: Wellner
keywords: Empirical processes; Hellinger metric; global rate; interval censoring; multivariate; multivariate monotone functions