NUMBER OF JUMPS FOR SAMPLE FUNCTIONS OF LEVY PROCESSES

  • NADIA MIRELA STOIAN
    Department of Mathematical Analysis and Probability, “Transilvania University of Brasov”, Iuliu Maniu 50, Brasov 500091, ROMANIA
    nadia.stoian@unitbv.ro

Abstract

The structure of jumps of a Levy process is determined by its Levy (or characteristic) measure. For an n-dimensional Levy process, the Levy measure of D ⊂ R<sup>n</sup> is given by the expected number, per unit time, of jumps whose size belongs to D.

Cuvinte cheie

Levy processes jump measures Levy independent process