| 书目名称 | Lectures on Algebraic Statistics |
| 编辑 | Mathias Drton,Bernd Sturmfels,Seth Sullivant |
| 视频video | |
| 概述 | Exercises and Open Problems complement the material and stimulate further research.Introduces to the rather new field of Algebraic Statistics.Includes supplementary material: |
| 丛书名称 | Oberwolfach Seminars |
| 图书封面 |  |
| 描述 | .How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models.. |
| 出版日期 | Textbook 2009 |
| 关键词 | Factor analysis; Grad; Likelihood; Parameter; algebraic geometry; algebraic statistics; statistics |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-7643-8905-5 |
| isbn_softcover | 978-3-7643-8904-8 |
| isbn_ebook | 978-3-7643-8905-5Series ISSN 1661-237X Series E-ISSN 2296-5041 |
| issn_series | 1661-237X |
| copyright | Birkhäuser Basel 2009 |
发表于 2025-3-21 18:50:52
