Probability Theory and Related Fields

, Volume 80, Issue 3, pp 365–379 | Cite as

Upper classes for the increments of fractional Wiener processes

  • J. Ortega
Article

Summary

Let (X(t), t≧0) be a centred Gaussian process with stationary increments andEX2(t)=C0t for someC0>0, 0<α<1, and let 0<a t t be a nondecreasing function oft witha t /t nonincreasing. The asymptotic behaviour of several increment processes constructed fromX anda t is studied in terms of their upper classes.

Keywords

Stochastic Process Asymptotic Behaviour Probability Theory Mathematical Biology Gaussian Process 

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • J. Ortega
    • 1
  1. 1.Depto. de MatemáticasInstituto Venezolano de Investigaciones CientificasCaracasVenezuela

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