SIZE-BIASED PERMUTATION OF DIRICHLET PARTITIONS AND SEARCH-COST DISTRIBUTION
Javiera Barrera, Thierry Huillet, Christian Paroissin · Probability in the Engineering and Informational Sciences · 2005
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.