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SIZE-BIASED PERMUTATION OF DIRICHLET PARTITIONS AND SEARCH-COST DISTRIBUTION

Published online by Cambridge University Press:  01 January 2005

Javiera Barrera ,
Thierry Huillet  and
Christian Paroissin
Javiera Barrera
Affiliation:
Departmento Ingeniería Matemática and Centro Modelamiento Matemático, UMR 2071 UCHILE-CNRS, Santiago, Chile, E-mail: [email protected]
Thierry Huillet
Affiliation:
Laboratoire de Physique Théorique et Modélisation, CNRS-UMR 8089 et Université de Cergy-Pontoise, Neuville sur Oise, France, E-mail: [email protected]
Christian Paroissin
Affiliation:
MODAL'X, Université de Paris 10 Nanterre, 92001 Nanterre Cédex, France, E-mail: [email protected]
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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.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 19 , Issue 1 , January 2005 , pp. 83 - 97
Copyright
© 2005 Cambridge University Press

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