We obtain necessary and sufficient conditions for one-sided strong laws of large numbers and laws of the iterated logarithm for large increments of sums of i.i.d. random variables. Our results are generalizations of Csörgö-Révész results on strong approximation laws.

Original languageEnglish
Pages (from-to)155-165
Number of pages11
JournalStatistics and Probability Letters
Volume37
Issue number2
DOIs
StatePublished - 15 Feb 1998

    Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

    Research areas

  • Large deviations, Law of the iterated logarithm, Moderate deviations, One-sided strong law of large numbers

ID: 75020522