Size-biased permutation of Dirichlet partitions and search-cost distribution

Javiera Barrera; Thierry Huillet; Christian Paroissin

doi:10.1017/s0269964805050060

Size-biased permutation of Dirichlet partitions and search-cost distribution

Javiera Barrera
, Thierry Huillet
, Christian Paroissin

Faculty of Engineering and Science

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Consider the random Dirichlet partition of the interval into n fragments at temperature θ 0. Explicit results on the law of its size-biased permutation are first supplied. Using these, new results on the comparative search cost distributions from Dirichlet partition and from its size-biased permutation are obtained.

Original language	English
Pages (from-to)	83-97
Number of pages	15
Journal	Probability in the Engineering and Informational Sciences
Volume	19
Issue number	1
DOIs	https://doi.org/10.1017/s0269964805050060
State	Published - 2005

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title = "Size-biased permutation of Dirichlet partitions and search-cost distribution",

abstract = "Consider the random Dirichlet partition of the interval into n fragments at temperature θ 0. Explicit results on the law of its size-biased permutation are first supplied. Using these, new results on the comparative search cost distributions from Dirichlet partition and from its size-biased permutation are obtained.",

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AU - Barrera, Javiera

AU - Huillet, Thierry

AU - Paroissin, Christian

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AB - Consider the random Dirichlet partition of the interval into n fragments at temperature θ 0. Explicit results on the law of its size-biased permutation are first supplied. Using these, new results on the comparative search cost distributions from Dirichlet partition and from its size-biased permutation are obtained.

UR - https://www.scopus.com/pages/publications/12144262643

U2 - 10.1017/s0269964805050060

DO - 10.1017/s0269964805050060

M3 - Article

AN - SCOPUS:12144262643

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EP - 97

JO - Probability in the Engineering and Informational Sciences

JF - Probability in the Engineering and Informational Sciences

IS - 1

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Size-biased permutation of Dirichlet partitions and search-cost distribution

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