Convergence in Distribution in Euclidean Spaces

  • David Pollard
Part of the Springer Series in Statistics book series (SSS)


Convergence is distribution of a sequence X n of real random variable is traditionally defined to mean convergence of distribution functions at each continuity point of the limit distribution function:
$$\mathbb{P}\{ X_n \leqslant x\} \to \mathbb{P}\{ X \leqslant x\} \,\text{whenever}\,\mathbb{P}\{ X = x\} = 0$$


Probability Measure Characteristic Function Euclidean Space Random Vector Central Limit Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York Inc. 1984

Authors and Affiliations

  • David Pollard
    • 1
  1. 1.Department of StatisticsYale UniversityNew HavenUSA

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