We obtain converses to the one-sided strong laws for large increment of sums of independent identically distributed (i.i.d.) random variables with a distribution from the domain of attraction of a normal law or a completely asymmetric stable law with index α ∈ (1,2).

Original languageEnglish
Pages (from-to)113-123
Number of pages11
JournalStatistics and Probability Letters
Volume72
Issue number2
DOIs
StatePublished - 15 Apr 2005

    Research areas

  • Csörgo-Révész laws, Erdos-Rényi law, Increments of sums of independent random variables, Large increments, Law of the iterated logarithm, One-sided strong laws, Strong approximation laws

    Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

ID: 75021826