{"product_id":"saddlepoint-approximations-with-applications-hardback-9780521872508","title":"Saddlepoint Approximations with Applications (Hardback) 9780521872508","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSaddlepoint Approximations with Applications\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book explains how approximate probability calculations make complex models tractable, with clear, simple explanations and real data examples.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRonald W. Butler (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521872508, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 16 August 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e578 pages, 131 b\/w illus.  120 tables  283 exercises\u003cbr\u003e25.3 x 18.3 x 3.3 cm, 1.21 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Today this is perhaps the most powerful method used in statistical theory and practice. … This big book with its big coverage of a big topic is a big addition to the big Cambridge series.'  Journal of the Royal Statistical Society\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eModern statistical methods use complex, sophisticated models that can lead to intractable computations. Saddlepoint approximations can be the answer. Written from the user's point of view, this book explains in clear language how such approximate probability computations are made, taking readers from the very beginnings to current applications. The core material is presented in chapters 1-6 at an elementary mathematical level. Chapters 7-9 then give a highly readable account of higher-order asymptotic inference. Later chapters address areas where saddlepoint methods have had substantial impact: multivariate testing, stochastic systems and applied probability, bootstrap implementation in the transform domain, and Bayesian computation and inference. No previous background in the area is required. Data examples from real applications demonstrate the practical value of the methods. Ideal for graduate students and researchers in statistics, biostatistics, electrical engineering, econometrics, and applied mathematics, this is both an entry-level text and a valuable reference.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Fundamental approximations\u003cbr\u003e 2. Properties and derivatives\u003cbr\u003e 3. Multivariate densities\u003cbr\u003e 4. Conditional densities and distribution functions\u003cbr\u003e 5. Exponential families and tilted distributions\u003cbr\u003e 6. Further exponential family examples and theory\u003cbr\u003e 7. Probability computation with p*\u003cbr\u003e 8. Probabilities with r*-type approximations\u003cbr\u003e 9. Nuisance parameters\u003cbr\u003e 10. Sequential saddlepoint applications\u003cbr\u003e 11. Applications to multivariate testing\u003cbr\u003e 12. Ratios and roots of estimating equations\u003cbr\u003e 13. First passage and time to event distributions\u003cbr\u003e 14. Bootstrapping in the transform domain\u003cbr\u003e 15. Bayesian applications\u003cbr\u003e 16. Non-normal bases\u003cbr\u003e References\u003cbr\u003e Index.\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":46003792019736,"sku":"9780521872508","price":102.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521872508i_0712de89-e21a-4f2c-a25c-0577045c8f6c.jpg?v=1691358690","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/saddlepoint-approximations-with-applications-hardback-9780521872508","provider":"Freshly Printed Books","version":"1.0","type":"link"}