APPLICATION THE STOCHASTIC INTEGRAL IN BROWNIAN MOTION

  • BURCĂ GENOVEVA
    UNIVERSITY OF BACĂU
  • SPĂTARU CĂTĂLINA
    LOUGHBOROUGH UNIVERSITY

Abstract

In this paper we present the stochastic d’Itô integral with respect to a Brownian motion. It is part of wider stochastic integral theory with respect to a continuous semi-martingale; hence we define the class of random functions which are going to be integrated. The whole presentation is based on probability filtering space

Cuvinte cheie

probability filtering space d’Itô integral Stratonovich integral brownian motion.