Entropy for Random Partitions and Its Applications

Yongzhao Shao and Raúl Jiménez

Journal of Theoretical Probability, 1998, vol. 11, issue 2, 417-433

Abstract: Abstract Asymptotic properties of partitions of the unit interval are studied through the entropy for random partition $$E_n (F) \equiv - \sum\limits_{j = 1}^{n + 1} {[F(X_{j,n} ) - F(X_{j - 1,n} )]\log \{ [F(X_{j,n} ) - F(X_{j - 1,n} )](n + 1)\} }$$ where $$X_{1,n}

Keywords: Entropy; Kullback-Liebler divergence; random partition; characterization of distributions; goodness-of-fit test; martingale; spacings (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022683822547

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