{"product_id":"random-variables-and-probability-distributions-paperback-9780521604864","title":"Random Variables and Probability Distributions (Paperback) 9780521604864","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eRandom Variables and Probability Distributions\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis tract develops the purely mathematical side of the theory of probability.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eH. Cramer (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521604864, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 3 June 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e132 pages\u003cbr\u003e21.6 x 14 x 0.8 cm, 0.18 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface to the first edition\u003cbr\u003e Preface to the second edition\u003cbr\u003e Preface to the third edition\u003cbr\u003e Abbreviations\u003cbr\u003e Part I. Principles: 1. Introductory remarks\u003cbr\u003e 2. Axioms and preliminary theorems\u003cbr\u003e Part II. Distributions in R1: 3. General properties\u003cbr\u003e 4. Characteristic functions\u003cbr\u003e 5. Addition of independent variables\u003cbr\u003e 6. The normal distribution and the central limit theorem\u003cbr\u003e 7. Error estimation\u003cbr\u003e 8. A class of stochastic processes\u003cbr\u003e Part III. Distributions in R2: 9. General properties\u003cbr\u003e 10. The normal distribution and the central limit theorem\u003cbr\u003e Bibliography.\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":46129231233304,"sku":"9780521604864","price":37.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521604864i.jpg?v=1691666401","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/random-variables-and-probability-distributions-paperback-9780521604864","provider":"Freshly Printed Books","version":"1.0","type":"link"}