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A bounded N-tuplewise independent and identically distributed counterexample to the CLT
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  • Published: July 1998

A bounded N-tuplewise independent and identically distributed counterexample to the CLT

  • Alexander R. Pruss1 

Probability Theory and Related Fields volume 111, pages 323–332 (1998)Cite this article

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  • 13 Citations

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Summary.

A sequence of random variables X 1,X 2,X 3,… is said to be N-tuplewise independent if X i 1,X i 2,…,X i N are independent whenever (i 1,i 2,…,i N ) is an N-tuple of distinct positive integers. For any fixed N∈ℤ+, we construct a sequence of bounded identically distributed N-tuplewise independent random variables which fail to satisfy the central limit theorem.

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  1. Department of Philosophy, University of Pittsburgh, Pittsburgh, PA 15260, USA e-mail: pruss+@pitt.edu, , , , , , US

    Alexander R. Pruss

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  1. Alexander R. Pruss
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Received: 17 May 1996 / In revised form: 28 January 1998

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Pruss, A. A bounded N-tuplewise independent and identically distributed counterexample to the CLT. Probab Theory Relat Fields 111, 323–332 (1998). https://doi.org/10.1007/s004400050170

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  • Issue Date: July 1998

  • DOI: https://doi.org/10.1007/s004400050170

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  • Mathematics Subject Classification (1991): 60F0S
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