We use generalized beta integrals to construct examples of Markov processes with linear regressions, and quadratic second conditional moments.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-4,
author = {W\l odek Bryc},
title = {Quadratic harnesses from generalized beta integrals},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {67-79},
zbl = {1255.60123},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-4}
}
Włodek Bryc. Quadratic harnesses from generalized beta integrals. Banach Center Publications, Tome 95 (2011) pp. 67-79. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-4/