Are Bernstein's Examples on Independent Events Paradoxical?

Czesław Stępniak () and Tomasz Owsiany ()
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Czesław Stępniak: University of Rzeszów, Al. Rejtana 16 A, Institute of Mathematics
Tomasz Owsiany: University of Rzeszów, Al. Rejtana 16 A, Institute of Mathematics

A chapter in Statistical Inference, Econometric Analysis and Matrix Algebra, 2009, pp 411-414 from Springer

Abstract: Abstract Bernstein gave two examples showing that a collection of pairwise independent random events need not to be jointly independent. These examples were numbered by Stoyanov among the most fascinating counterexamples in probability. Considering the minimal sample size for existing n independent and pairwise independent but jointly dependent random events we reveal the fact that the second situation is more often. In consequence it is rather a rule than a paradox.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7908-2121-5_28

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DOI: 10.1007/978-3-7908-2121-5_28

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