Abstract

CAVANZO NISSO, ANDREA  and  BLANCO CASTANEDA, LILIANA. The Brownian Fractional Motion as a Limit of some Types of Stochastic Processes. Rev.Colomb.Estad. [online]. 2005, vol.28, n.2, pp.173-191. ISSN 0120-1751.

Some of the most significant constructions of the fractional brownian mo tion developed recently are reviewed in detail. Taqqu works with the limit under weak convergence of normalized partial sums of stationary random variables exhibiting long run non-periodic dependence. Sottinen proves a Donsker type approximation theorem and Delgado & Jolis prove that the fractional brownian motion can be weakly approximated by the law of some processes constructed from standard Poisson process.

Keywords : Weak Convergence; Gaussian Process; Poisson Process; Fractional Brownian Motion; Random Walk.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )