The size of singular component and shift inequalities

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Abstract

We study the question on how large the size of singular component of translates of product probability measures can be in terms of Fisher information. We then prove some shift inequalities.

Original languageEnglish (US)
Pages (from-to)416-431
Number of pages16
JournalAnnals of Probability
Volume27
Issue number1
DOIs
StatePublished - Jan 1999

Keywords

  • Shift inequalities
  • Translates of measures

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