The central limit theorem without the condition of independence

L. Szeidl, V. M. Zolotarev

Research output: Contribution to journalArticle

Abstract

Necessary and sufficient conditions are presented for sums of asymptotically independent random variables to converge to a normal random variable in the sense of total variation distance, uniform metric for characteristic functions, and mean metric of order q.

Original languageEnglish
Pages (from-to)3002-3004
Number of pages3
JournalJournal of Mathematical Sciences
Volume91
Issue number3
DOIs
Publication statusPublished - Jan 1 1998

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ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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