Details:
Title  Finiteness for the kfactor model and chirality varieties  Author(s)  Jan Draisma  Type  Article in Journal  Abstract  This paper deals with two families of algebraic varieties arising from applications. First, the kfactor model in statistics, consisting of n × n covariance matrices of n observed Gaussian random variables that are pairwise independent given k hidden Gaussian variables. Second, chirality varieties inspired by applications in chemistry. A point in such a chirality variety records chirality measurements of all ksubsets among an nset of ligands. Both classes of varieties are given by a parameterisation, while for applications having polynomial equations would be desirable. For instance, such equations could be used to test whether a given point lies in the variety. We prove that in a precise sense, which is different for the two classes of varieties, these equations are finitely characterisable when k is fixed and n grows.  Keywords  Factor analysis, Algebraic statistics, GNoetherianity  ISSN  00018708 
URL 
http://www.sciencedirect.com/science/article/pii/S0001870809002539 
Language  English  Journal  Advances in Mathematics  Volume  223  Number  1  Pages  243  256  Year  2010  Edition  0  Translation 
No  Refereed 
No 
