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Entropy for Random Partitions and Its Applications

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  • Yongzhao Shao
  • Raúl Jiménez

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}

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  • Yongzhao Shao & Raúl Jiménez, 1998. "Entropy for Random Partitions and Its Applications," Journal of Theoretical Probability, Springer, vol. 11(2), pages 417-433, April.
    • Handle: RePEc:spr:jotpro:v:11:y:1998:i:2:d:10.1023_a:1022683822547
    DOI: 10.1023/A:1022683822547
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    References listed on IDEAS

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    1. de Acosta, A., 1994. "Large deviations for vector-valued Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 51(1), pages 75-115, June.
    2. Bartoszewicz, Jaroslaw, 1995. "Bahadur and Hodges-Lehmann approximate efficiencies of tests based on spacings," Statistics & Probability Letters, Elsevier, vol. 23(3), pages 211-220, May.
    3. Shao, Yongzhao & Hahn, Marjorie G., 1995. "Limit theorems for the logarithm of sample spacings," Statistics & Probability Letters, Elsevier, vol. 24(2), pages 121-132, August.
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