{"product_id":"comparison-of-statistical-experiments-hardback-9780521250306","title":"Comparison of Statistical Experiments (Hardback) 9780521250306","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eComparison of Statistical Experiments\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA comprehensive treatment of statistical experiments and an essential reference for mathematical statisticians.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eErik Torgersen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521250306, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 14 March 1991\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e696 pages\u003cbr\u003e23.4 x 15.6 x 3.8 cm, 1.14 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\"...impressive volume....It is very rich in content and replete with examples....quite self contained and fairly easy to read.\"  Lucin Le Cam, SIAM Review\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThere are a number of important questions associated with statistical experiments: when does one given experiment yield more information than another; how can we measure the difference in information; how fast does information accumulate by repeating the experiment? The means of answering such questions has emerged from the work of Wald, Blackwell, LeCam and others and is based on the ideas of risk and deficiency. The present work which is devoted to the various methods of comparing statistical experiments, is essentially self-contained, requiring only some background in measure theory and functional analysis. Chapters introducing statistical experiments and the necessary convex analysis begin the book and are followed by others on game theory, decision theory and vector lattices. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomisation, distance, ordering, equivalence, completeness and convergence are explored. This is a comprehensive treatment of the subject and will be an essential reference for mathematical statisticians.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Acknowledgements\u003cbr\u003e 1. Statistical experiments within the measure theoretical framework\u003cbr\u003e 2. Convexity\u003cbr\u003e 3. Two-person, zero-sum games\u003cbr\u003e 4. Statistical decision problems\u003cbr\u003e 5. Vector lattices\u003cbr\u003e 6. Deficiencies\u003cbr\u003e 7. Equivalence, representations and functionals of experiments\u003cbr\u003e 8. Comparison of linear models\u003cbr\u003e 9. Majorisation and approximate majorisation\u003cbr\u003e 10. Complements: Further examples, problems and comments\u003cbr\u003e List of symbols\u003cbr\u003e Author index\u003cbr\u003e Additional references\u003cbr\u003e Subject 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":46005820358936,"sku":"9780521250306","price":174.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521250306i_dbeeef21-34fb-4ed9-8bb1-a0216339efda.jpg?v=1691374099","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/comparison-of-statistical-experiments-hardback-9780521250306","provider":"Freshly Printed Books","version":"1.0","type":"link"}