@article{98e31b2176f54ffabb2b4930ac6a6cac,
title = "The Dirichlet distributions and polynomial regression",
abstract = "Using our previous results we extend to the case of polynomial regression a recent characterization, obtained by Rao and Sinha, of the Dirichlet distributions. We also show that the class of distributions considered by Rao and Sinha possess many properties previously established by the authors for the multivariate Liouville distributions.",
author = "Gupta, {Rameshwar D.} and Richards, {Donald St P.}",
note = "Funding Information: Received July 7, 1988; revised July 15, 1989. AMS 1980 subject classifications: Primary 62HlO; Secondary 28A01, 62E15, 62505. Key words and phrases: Dirichlet distributions, polynomial regression, Liouville distribution, total positivity, reverse rule, stochastic representation, complete neutrality. * Partially supported by the Natural Sciences and Engineering Research Council of Canada Grant A-4850. {\textquoteright} Partially supported by the National Science Foundation Grant DMS-8802929 and by the Center for Advanced Studies, University of Virginia.",
year = "1990",
month = jan,
doi = "10.1016/0047-259X(90)90074-R",
language = "English (US)",
volume = "32",
pages = "95--102",
journal = "Journal of Multivariate Analysis",
issn = "0047-259X",
publisher = "Academic Press Inc.",
number = "1",
}