{"product_id":"algebraic-and-geometric-methods-in-statistics-hardback-9780521896191","title":"Algebraic and Geometric Methods in Statistics (Hardback) 9780521896191","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAlgebraic and Geometric Methods in Statistics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn up-to-date account of algebraic statistics and information geometry, which also explores the emerging connections between these two disciplines.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePaolo Gibilisco (Edited by), Eva Riccomagno (Edited by), Maria Piera Rogantin (Edited by), Henry P. Wynn (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521896191, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 22 October 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e382 pages, 30 b\/w illus.  35 tables\u003cbr\u003e25.4 x 18.1 x 2.3 cm, 0.83 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis up-to-date account of algebraic statistics and information geometry explores the emerging connections between the two disciplines, demonstrating how they can be used in design of experiments and how they benefit our understanding of statistical models, in particular, exponential models. This book presents a new way of approaching classical statistical problems and raises scientific questions that would never have been considered without the interaction of these two disciplines. Beginning with a brief introduction to each area, using simple illustrative examples, the book then proceeds with a collection of reviews and some new results written by leading researchers in their respective fields. Part III dwells in both classical and quantum information geometry, containing surveys of key results and new material. Finally, Part IV provides examples of the interplay between algebraic statistics and information geometry. Computer code and proofs are also available online, where key examples are developed in further detail.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eList of contributors\u003cbr\u003e Frequently used notations and symbols\u003cbr\u003e Preface\u003cbr\u003e 1. Algebraic and geometric methods in statistics P. Gibilisco, E. Riccomagno, M. P. Rogantin and H. P. Wynn\u003cbr\u003e Part I. Contingency Tables: 2. Maximum likelihood estimation in latent class models S. E. Fienberg, P. Hersh, A. Rinaldo and Y. Zhou\u003cbr\u003e 3. Algebraic geometry of 2 x 2 contingency tables A. Slavkovic and S. E. Fienberg\u003cbr\u003e 4. Model selection for contingency tables with algebraic statistics A. Krampe and S. Kuhnt\u003cbr\u003e 5. Markov chains, quotient ideals, and connectivity Y. Chen, I. Dinwoodie and R. Yoshida\u003cbr\u003e 6. Algebraic category distinguishability E. Carlini and F. Rapallo\u003cbr\u003e 7. Algebraic complexity of MLE for bivariate missing data S. Hoşten and S. Sullivant\u003cbr\u003e 8. The generalized shuttle algorithm A. Dobra and S. E. Fienberg\u003cbr\u003e Part II. Designed Experiments: 9. Generalised design H. Maruri-Aguilar and H. P. Wynn\u003cbr\u003e 10. Design of experiments and biochemical network inference R. Laubenbacher and B. Stigler\u003cbr\u003e 11. Replicated measurements and algebraic statistics R. Notari and E. Riccomagno\u003cbr\u003e 12. Indicator function and sudoku designs R. Fontana and M. P. Rogantin\u003cbr\u003e 13. Markov basis for design of experiments and three-level factors S. Aoki and A. Takemura\u003cbr\u003e Part III. Information Geometry: 14. Non-parametric estimation R. F. Streater\u003cbr\u003e 15. Banach manifold of quantum states R. F. Streater\u003cbr\u003e 16. On quantum information manifolds A. Jenčová\u003cbr\u003e 17. Axiomatic geometries for text documents G. Lebanon\u003cbr\u003e 18. Exponential manifold by reproducing kernel Hilbert spaces K. Fukumizu\u003cbr\u003e 19. Extended exponential models D. Imparato and B. Trivellato\u003cbr\u003e 20. Quantum statistics and measures of quantum information F. Hansen\u003cbr\u003e Part IV. Information Geometry and Algebraic Statistics: 21. Algebraic varieties vs differentiable manifolds G. Pistone\u003cbr\u003e Part V. On-Line Supplements: Coloured Figures for Chapter 2\u003cbr\u003e 22. Maximum likelihood estimation in latent class models Y. Zhou\u003cbr\u003e 23. The generalized shuttle algorithm A. Dobra and S. E. Fienberg\u003cbr\u003e 24. Indicator function and sudoku designs R. Fontana and M. P. Rogantin\u003cbr\u003e 25. Replicated measurements and algebraic statistics R. Notari and E. Riccomagno\u003cbr\u003e 26. Extended exponential models D. Imparato and B. Trivellato.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004402061592,"sku":"9780521896191","price":101.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521896191i_3e8b4dac-4269-474d-afd8-73c3a44f765a.jpg?v=1691359136","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/algebraic-and-geometric-methods-in-statistics-hardback-9780521896191","provider":"Freshly Printed Books","version":"1.0","type":"link"}