{"product_id":"mathematical-theory-of-bayesian-statistics-sumio-watanabe-9780367734817","title":"Mathematical Theory of Bayesian Statistics","description":"\u003cp\u003e\u003cem\u003eMathematical Theory of Bayesian Statistics\u003c\/em\u003e introduces the mathematical foundation of Bayesian inference which is well-known to be more accurate in many real-world problems than the maximum likelihood method. Recent research has uncovered several mathematical laws in Bayesian statistics, by which both the generalization loss and the marginal likelihood are estimated even if the posterior distribution cannot be approximated by any normal distribution. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cb\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/b\u003e\u003cp\u003eFeatures\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cul\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cli\u003eExplains Bayesian inference not subjectively but objectively. \u003c\/li\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cli\u003eProvides a mathematical framework for conventional Bayesian theorems.\u003c\/li\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cli\u003eIntroduces and proves new theorems. \u003c\/li\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cli\u003eCross validation and information criteria of Bayesian statistics are studied from the mathematical point of view. \u003c\/li\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cli\u003eIllustrates applications to several statistical problems, for example, model selection, hyperparameter optimization, and hypothesis tests. \u003c\/li\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\n\u003c\/ul\u003e\u003cb\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/b\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eThis book provides basic introductions for students, researchers, and users of Bayesian statistics, as well as applied mathematicians.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cb\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/b\u003e\u003cp\u003eAuthor\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eSumio Watanabe is a professor of Department of Mathematical and Computing Science at Tokyo Institute of Technology. He studies the relationship between algebraic geometry and mathematical statistics. \u003c\/p\u003e\u003cb\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/b\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Sumio Watanabe\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0367734818\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780367734817\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/18\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 332\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.83lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.80d","brand":"Sumio Watanabe","offers":[{"title":"Paperback","offer_id":44966409437439,"sku":"9780367734817","price":66.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_e5c84faa-cc20-44e2-84aa-6b6131f608a0.jpg?v=1711159767","url":"https:\/\/www.whiterainbookhouse.com\/products\/mathematical-theory-of-bayesian-statistics-sumio-watanabe-9780367734817","provider":"WR Book House","version":"1.0","type":"link"}