Literature DB >> 23991245

Global rates of convergence of the MLE for multivariate interval censoring.

Fuchang Gao1, Jon A Wellner.   

Abstract

We establish global rates of convergence of the Maximum Likelihood Estimator (MLE) of a multivariate distribution function on ℝ d in 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 than n-1/3(log n)γ for γ = (5d - 4)/6.

Entities:  

Keywords:  Empirical processes; Hellinger metric; global rate; interval censoring; multivariate; multivariate monotone functions

Year:  2013        PMID: 23991245      PMCID: PMC3753818          DOI: 10.1214/13-EJS777

Source DB:  PubMed          Journal:  Electron J Stat        ISSN: 1935-7524            Impact factor:   1.125


  4 in total

1.  A non-parametric maximum likelihood estimator for bivariate interval censored data.

Authors:  R A Betensky; D M Finkelstein
Journal:  Stat Med       Date:  1999-11-30       Impact factor: 2.373

2.  Bayesian models for multivariate current status data with informative censoring.

Authors:  David B Dunson; Gregg E Dinse
Journal:  Biometrics       Date:  2002-03       Impact factor: 2.571

3.  CURRENT STATUS DATA WITH COMPETING RISKS: LIMITING DISTRIBUTION OF THE MLE.

Authors:  Piet Groeneboom; Marloes H Maathuis; Jon A Wellner
Journal:  Ann Stat       Date:  2008-01-01       Impact factor: 4.028

4.  Nonparametric estimation of multivariate scale mixtures of uniform densities.

Authors:  Marios G Pavlides; Jon A Wellner
Journal:  J Multivar Anal       Date:  2012-01-10       Impact factor: 1.473

  4 in total

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