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CONVERGENCE OF INTEGRAL FUNCTIONALS OF STOCHASTIC PROCESSES

Published online by Cambridge University Press:  09 February 2006

István Berkes  and
Lajos Horváth
István Berkes
Affiliation:
Graz University of Technology
Lajos Horváth
Affiliation:
University of Utah
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Abstract

We investigate the convergence in distribution of integrals of stochastic processes satisfying a functional limit theorem. We allow a large class of continuous Gaussian processes in the limit. Depending on the continuity properties of the underlying process, local Lebesgue or Riemann integrability is required.We are grateful to the referees and Benedikt Pötscher for their helpful and constructive comments. The research of the first author was partially supported by OTKA grants T37668 and T43037 and NSF-OTKA grant INT-0223262. The research of the second author was partially supported by NATO grant PST.EAP.CLG 980599 and NSF-OTKA grant INT-0223262.

Type
Research Article
Information
Econometric Theory , Volume 22 , Issue 2 , April 2006 , pp. 304 - 322
Copyright
© 2006 Cambridge University Press

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References

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