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Central limit theorem for linearly dependent fields of continuous elements
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  • Published: May 1987

Central limit theorem for linearly dependent fields of continuous elements

  • Gregory J. Morrow1 

Probability Theory and Related Fields volume 75, pages 87–95 (1987)Cite this article

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Summary

The central limit theorem for stationary linearly dependent sequences is extended for elements in the space of continuous functions on a compact metric space. The proof is based on a new estimate for exponential-type moments of sums of independent random variables.

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Authors and Affiliations

  1. Department of Mathematics, University of Colorado, 80933, Colorado Springs, CO, USA

    Gregory J. Morrow

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  1. Gregory J. Morrow
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Cite this article

Morrow, G.J. Central limit theorem for linearly dependent fields of continuous elements. Probab. Th. Rel. Fields 75, 87–95 (1987). https://doi.org/10.1007/BF00320083

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  • Received: 12 August 1985

  • Revised: 25 July 1986

  • Issue Date: May 1987

  • DOI: https://doi.org/10.1007/BF00320083

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Keywords

  • Continuous Function
  • Stochastic Process
  • Probability Theory
  • Limit Theorem
  • Statistical Theory
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