Functional limit theorems for random step lines and random broken lines defined by sums of iid random variables with replacements are obtained and discussed. Also we obtained functional limit theorems for integrals of such random processes. We use our results to study a number of models of the financial market.

Original languageEnglish
Pages (from-to)11-39
Number of pages29
JournalLobachevskii Journal of Mathematics
Volume12
StatePublished - 2003

    Scopus subject areas

  • Mathematics(all)

ID: 87286055