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/