{"product_id":"rethinking-the-foundations-of-statistics-paperback-9780521649759","title":"Rethinking the Foundations of Statistics (Paperback) 9780521649759","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eRethinking the Foundations of Statistics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA synthesis of foundational studies in Bayesian decision theory and statistics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJoseph B. Kadane (Author), Mark J. Schervish (Author), Teddy Seidenfeld (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521649759, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 13 August 1999\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e400 pages, 25 b\/w illus.  3 tables\u003cbr\u003e23.4 x 15.8 x 2.3 cm, 0.657 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\"The material is well presented, and the authors themselves have made significant contributions to this area...should greatly appeal to philosophers, advanced graduate students, and researchers interested in exploring and researching the foundations of Bayesian statistics.\"   CHOICE\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis important collection of essays is a synthesis of foundational studies in Bayesian decision theory and statistics. An overarching topic of the collection is understanding how the norms for Bayesian decision making should apply in settings with more than one rational decision maker and then tracing out some of the consequences of this turn for Bayesian statistics. There are four principal themes to the collection: cooperative, non-sequential decisions; the representation and measurement of 'partially ordered' preferences; non-cooperative, sequential decisions; and pooling rules and Bayesian dynamics for sets of probabilities. The volume will be particularly valuable to philosophers concerned with decision theory, probability, and statistics, statisticians, mathematicians, and economists.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e Part I. Decision Theory for Cooperative Decision-Making: 1. Shared preferences of two Bayesian decision makers\u003cbr\u003e 2. Decisions without ordering\u003cbr\u003e 3. A representation of partially ordered preferences\u003cbr\u003e Part II. The Truth about Consequences: 4. Separating probability elicitation from utilities\u003cbr\u003e 5. State-dependent utilities\u003cbr\u003e 6. Shared preferences and state-dependent utilities\u003cbr\u003e 7. A conflict between finitely additive probability and avoiding Dutch book\u003cbr\u003e 8. Statistical implications of finitely additive probability\u003cbr\u003e Part III. Non-Cooperative Decision Making, Inference, and Learning with Shared Evidence: 9. Subjective probability and the theory of games\u003cbr\u003e 10. Equilibrium, common knowledge, and optimal sequential decisions\u003cbr\u003e 11. A fair minimax theorem for 2 person (zero-sum) games involving finitely additive strategies\u003cbr\u003e 12. Randomization in a Bayesian perspective\u003cbr\u003e 13. Characterizations of externally Bayesian pooling operators\u003cbr\u003e 14. An approach to consensus and certainty with increasing evidence\u003cbr\u003e 15. Reasoning to a foregone conclusion\u003cbr\u003e 16. When several Bayesians agree that there will be no reasoning to a foregone conclusion.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Philosophy: logic [\u003ca title=\"See our other books on Philosophy: logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy:%20logic%20%5BHPL%5D%22\"\u003eHPL\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":46005724250392,"sku":"9780521649759","price":32.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521649759i_1e178c61-0330-4fd4-a3d9-98a5f9ad82ef.jpg?v=1691379531","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/rethinking-the-foundations-of-statistics-paperback-9780521649759","provider":"Freshly Printed Books","version":"1.0","type":"link"}