{"product_id":"mathematical-theory-of-bayesian-statistics-paperback","title":"Mathematical Theory of Bayesian Statistics - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eSumio Watanabe\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eSumio Watanabe\u003c\/strong\u003e is a professor in the Department of Computational Intelligence and Systems Science at Tokyo Institute of Technology, Japan.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 332\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.8 x 9.1 x 6.1 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 18, 2020\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337097724153,"sku":"9780367734817","price":124.72,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/xASmVP7mEO9780367734817.webp?v=1769674956","url":"https:\/\/bookscloud.io\/products\/mathematical-theory-of-bayesian-statistics-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}