An urn model of Diaconis and some generalizations are discussed. A convergence theorem is proved that implies for Diaconis’ model that the empirical distribution of balls in the urn converges with probability one to the uniform distribution.
Publié le : 2005-09-14
Classification:
Almost supermartingale,
fixed point,
urn model,
60G48,
60F15,
60C05
@article{1127395880,
author = {Siegmund, D. and Yakir, B.},
title = {An urn model of Diaconis},
journal = {Ann. Probab.},
volume = {33},
number = {1},
year = {2005},
pages = { 2036-2042},
language = {en},
url = {http://dml.mathdoc.fr/item/1127395880}
}
Siegmund, D.; Yakir, B. An urn model of Diaconis. Ann. Probab., Tome 33 (2005) no. 1, pp. 2036-2042. http://gdmltest.u-ga.fr/item/1127395880/