Fifty years ago P. Erdős and A. Rényi published their famous paper on the new law of large numbers. In this survey, we describe numerous results and achievements which are related with this paper or motivated by it during these years.

Original languageEnglish
Pages (from-to)263-273
Number of pages11
JournalStudia Scientiarum Mathematicarum Hungarica
Volume58
Issue number2
DOIs
StatePublished - 29 Jun 2021

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Compound Poisson processes, Erdős–Rényi law, Increments of sums of independent random variables and stochastic processes, Processes with independent increments, Random fields, Renewal processes, Shepp law, Strong limit theorems, Sums of independent random variables, random fields, EXACT CONVERGENCE-RATES, STRONG APPROXIMATION LAWS, EXTENSION, processes with independent increments, sums of independent random variables, Erdos-Renyi law, BIG, renewal processes, CSORGO, WIENER, strong limit theorems, increments of sums of independent random variables and stochastic processes, PARTIAL-SUMS, LARGE INCREMENTS, LOGARITHM, SIDED STRONG LAWS

ID: 86253873