An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies

Rabi Bhattacharya, Lizhen Lin

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

We present a novel nonparametric method for bioassay and benchmark analysis in risk assessment, which averages isotonic MLEs based on disjoint subgroups of dosages. The asymptotic theory for the methodology is derived, showing that the MISEs (mean integrated squared error) of the estimates of both the dose-response curve F and its inverse F-1 achieve the optimal rate O(N-4/5). Also, we compute the asymptotic distribution of the estimate ζ̃p of the effective dosage ζp=F-1(p) which is shown to have an optimally small asymptotic variance.

Original languageEnglish (US)
Pages (from-to)1947-1953
Number of pages7
JournalStatistics and Probability Letters
Volume80
Issue number23-24
DOIs
StatePublished - Dec 1 2010

Keywords

  • Asymptotic normality
  • Benchmark analysis
  • Effective dosage
  • Mean integrated square error
  • Monotone dose-response curve estimation

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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