Archiv der Mathematik

, Volume 74, Issue 2, pp 115–119 | Cite as

A central limit theorem for exchangeable random variables on a locally compact abelian group

  • M. S. Bingham


A central limit theorem is given for uniformly infinitesimal triangular arrays of random variables in which the random variables in each row are exchangeable and take values in a locally compact second countable abelian group. The limiting distribution in the theorem is Gaussian.


Abelian Group Limit Theorem Central Limit Central Limit Theorem Compact Abelian Group 


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Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  • M. S. Bingham
    • 1
  1. 1.Department of Mathematics, University of Hull, Hull, England, HU6 7RXGB

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