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Harmonizability,V-boundedness, (2,p)-boundedness of stochastic processes
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  • Published: March 1990

Harmonizability,V-boundedness, (2,p)-boundedness of stochastic processes

  • Christian Houdré1 nAff2 

Probability Theory and Related Fields volume 84, pages 39–54 (1990)Cite this article

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Summary

Some new classes of discrete time non-stationary processes, related to the harmonizable andV-bounded classes, are introduced. A few characterizations are obtained which, in turn, unify theV-bounded theory. Our main results depend on a special form of Grothendieck's inequality.

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Author information

Author notes
  1. Christian Houdré

    Present address: Center For Computational Statistics and Probability, George Mason University, 22030, Fairfax, VA, USA

Authors and Affiliations

  1. Center for Stochastic Processes, Department of Statistics, University of North Carolina, 27599-3260, Chapel Hill, NC, USA

    Christian Houdré

Authors
  1. Christian Houdré
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Additional information

Research supported by the AFOSR Contract no. F49620 85 C 0144

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Cite this article

Houdré, C. Harmonizability,V-boundedness, (2,p)-boundedness of stochastic processes. Probab. Th. Rel. Fields 84, 39–54 (1990). https://doi.org/10.1007/BF01288557

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  • Received: 26 September 1988

  • Revised: 21 April 1989

  • Issue Date: March 1990

  • DOI: https://doi.org/10.1007/BF01288557

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Keywords

  • Stochastic Process
  • Probability Theory
  • Discrete Time
  • Special Form
  • Mathematical Biology
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