Details:
Title  Asymptotically efficient estimators for algebraic statistical manifolds.  Author(s)  Kei Kobayashi, Henry P. Wynn  Type  Book, Chapter in Book, Conference Proceeding  Abstract  A strong link between information geometry and algebraic statistics is made by investigating statistical manifolds which are algebraic varieties. In particular it it shown how first and second order efficiency estimators can be constructed, such as bias corrected Maximum Likelihood Estimators and more general estimators, but for which the estimating equations are purely algebraic. In addition it is shown how Gröbner basis technology, which is at the heart of algebraic statistics, can be used to reduce the degrees of the terms in the estimating equations. This points the way to the feasible use, to find the estimators, of special methods for solving polynomial equations, such are homotopy methods.  ISBN  9783642400193/pbk 
URL 
http://link.springer.com/chapter/10.1007%2F9783642400209_80 
Language  English  Pages  721728  Publisher  Berlin: Springer  Year  2013  Edition  0  Translation 
No  Refereed 
No 
