A counterexample on domains of partial attraction in banach spaces

  • Evarist Giné
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 990)


It is shown that, contrary to the finite dimensional situation, for every infinite dimensional Banach space B there exists a B-valued r.v. X in the domain of partial attraction of only one type of (non-degenerate, stable) laws, but not in its domain of attraction.


Banach Space Central Limit Theorem Convex Body Separable Banach Space Partial Attraction 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Evarist Giné
    • 1
  1. 1.Department of MathematicsLouisiana State UniversityBaton Rouge

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