Details:
Title  Gröbner bases and factorisation in discrete probability and Bayes  Author(s)  Giovanni Pistone, Eva Riccomagno, Henry P. Wynn  Type  Article in Journal  Abstract  Gröbner bases, elimination theory and factorization may be used to perform calculations in elementary discrete probability and more complex areas such as Bayesian networks (influence diagrams). The paper covers the application of computational algebraic geometry to probability theory. The application to the Boolean algebra of events is straightforward (and essentially known). The extension into the probability superstructure is via the polynomial interpolation of densities and log densities and this is used naturally in the Bayesian application.  Keywords  Bayes, Gröbner bases, probability distributions  Length  10  ISSN  09603174 
File 
 URL 
dx.doi.org/10.1023/A:1026505815343 
Language  English  Journal  Statistics and Computing  Volume  11  Number  1  Pages  3746  Publisher  Springer Science Business Media B.V.  Address  Hingham, MA, USA  Year  2001  Month  January  Translation 
No  Refereed 
No 
