A multinomial rule of succession is derived with conditioning on partial past information. The probability computation is done with a Markov chain on tables of non-negative integers using Gröbner bases as described by Diaconis and Sturmfels.
Publié le : 1998-09-14
Classification:
Gröbner basis,
Laplace,
Markov chain,
succession probability
@article{1174324986,
author = {Dinwoodie, Ian H.},
title = {The Diaconis-Sturmfels algorithm and rules of succession},
journal = {Bernoulli},
volume = {4},
number = {1},
year = {1998},
pages = { 401-410},
language = {en},
url = {http://dml.mathdoc.fr/item/1174324986}
}
Dinwoodie, Ian H. The Diaconis-Sturmfels algorithm and rules of succession. Bernoulli, Tome 4 (1998) no. 1, pp. 401-410. http://gdmltest.u-ga.fr/item/1174324986/