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Lectures on Algebraic Statistics
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 s...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Oberwolfach Seminars,
39 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-7643-8905-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220117194438.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 sz | s |||| 0|eng d | ||
| 020 | |a 9783764389055 |9 978-3-7643-8905-5 | ||
| 024 | 7 | |a 10.1007/978-3-7643-8905-5 |2 doi | |
| 050 | 4 | |a QA276-280 | |
| 072 | 7 | |a PBT |2 bicssc | |
| 072 | 7 | |a MAT029000 |2 bisacsh | |
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| 100 | 1 | |a Drton, Mathias. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Lectures on Algebraic Statistics |h [electronic resource] / |c by Mathias Drton, Bernd Sturmfels, Seth Sullivant. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2009. | |
| 300 | |a VIII, 172 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 39 | |
| 505 | 0 | |a Markov Bases -- Likelihood Inference -- Conditional Independence -- Hidden Variables -- Bayesian Integrals -- Exercises -- Open Problems. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Statistics . | |
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 1 | 4 | |a Statistical Theory and Methods. |
| 650 | 2 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Probability Theory. |
| 700 | 1 | |a Sturmfels, Bernd. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Sullivant, Seth. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764398866 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764389048 |
| 830 | 0 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 39 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-7643-8905-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||