Uniform rates of estimation in the semiparametric Weibull mixture model

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Abstract

This paper presents a uniform estimator for a finite-dimensional parameter in the semiparametric Weibull mixture model. The rates achieved by the estimator hold uniformly over shrinking sequences of models much more general than traditional sequences that are required to satisfy a Hellinger differentiable property. We show that these rates are optimal in a class of identified models constrained by a moment condition on the nonparametric mixing distribution.

Original languageEnglish (US)
Pages (from-to)1572-1585
Number of pages14
JournalAnnals of Statistics
Volume24
Issue number4
DOIs
StatePublished - Aug 1996
Externally publishedYes

Keywords

  • Criterion function
  • Uniform rates of estimation
  • Weibull semiparametric mixture

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

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