We prove that the d-finite tuples in models of ARV are precisely the discrete random variables. Then, we apply d-finite tuples to the work by Keisler, Hoover, Fajardo, and Sun concerning saturated probability spaces. In particular, we strengthen a result in Keisler and Sun's recent paper.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-3-2,
author = {Shichang Song},
title = {On d-finite tuples in random variable structures},
journal = {Fundamenta Mathematicae},
volume = {220},
year = {2013},
pages = {221-230},
zbl = {1277.03038},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-3-2}
}
Shichang Song. On d-finite tuples in random variable structures. Fundamenta Mathematicae, Tome 220 (2013) pp. 221-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-3-2/