A two parameter family of distributions on partitions is obtained by mixing a multinomial with a symmetric Dirichlet distribution. Estimates for the parameters are proposed and studied in various asymptotic limits.
Publié le : 1987-12-14
Classification:
Partitions,
convergence in distribution,
maximum likelihood estimation,
unbiased estimation,
Ewens' sampling formula,
Maxwell-Boltzmann,
Bose-Einstein,
62E20,
62F10
@article{1176350604,
author = {Keener, Robert and Rothman, Edward and Starr, Norman},
title = {Distributions on Partitions},
journal = {Ann. Statist.},
volume = {15},
number = {1},
year = {1987},
pages = { 1466-1481},
language = {en},
url = {http://dml.mathdoc.fr/item/1176350604}
}
Keener, Robert; Rothman, Edward; Starr, Norman. Distributions on Partitions. Ann. Statist., Tome 15 (1987) no. 1, pp. 1466-1481. http://gdmltest.u-ga.fr/item/1176350604/