This book is devoted to limit theorems and probability inequalities for sums of independent random variables. It includes limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of the iterated logarithm, and also many inequalities for sums of an arbitrary number of random variables.
The aim of the book is two-fold. First, the book can be a basis for a course in probability for graduate or advanced undergraduate students. Second, the book can serve as a reference formulations of many (mostly recent) results which are usually inaccessible in book form. These supplements border on the basic text and make it possible for the reader to look at the frontier of modern investigations.
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It is a well-written scholarly work based on 487 references. Whilst reading the book one is amply rewarded by theory. Proceedings of the Edinburgh Mathematical Society
'In 1954 Gnedenko and Kolmogorov wrote a classic book on this subject. The present work is in the same spirit. ...It is a well-written scholarly work...this text should be a useful reference for a long time to come. (Proceedings of the Edinburgh Mathematical Society, 1996)
Each chapter has a concise account of the core theory, with proofs but with full bibliographic information. The Addenda are a remarkable achievement and give the book its real added value over the competition...Professor Petrov has again given us what will become a standard work and its worth will be appreciated by many in the years it will be of use.
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Hardcover. Condition: new. Hardcover. This book is devoted to limit theorems and probability inequalities for sums of independent random variables. It includes limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of the iterated logarithm, and also many inequalities for sums of an arbitrary number of random variables.The aim of the book is two-fold. First, thebook can be a basis for a course in probability for graduate or advanced undergraduate students. Second, the book can serve as a reference formulations of many (mostly recent) results which areusually inaccessible in book form. These supplements border on the basic text and make it possible for the reader to look at the frontier of modern investigations. Devoted to limit theorems and probability inequalities for sums of independent random variables, both the classical and the most recent results are explained, and every chapter has supplements with formulations of many of these results. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198534990
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Condition: New. Limit theorems and probability inequalities for sums of independent random variables are beneficial to those studying probability and statistics. This treatise presents a clear exposition of classical and modern results in the field. Series: Oxford Studies in Probability. Num Pages: 304 pages, index. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 241 x 158 x 29. Weight in Grams: 592. . 1995. Hardback. . . . . Seller Inventory # V9780198534990
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Condition: Sehr gut. Zustand: Sehr gut | Seiten: 304 | Sprache: Englisch | Produktart: Bücher | This book offers a superb overview of limit theorems and probability inequalities for sums of independent random variables. Unique in its combination of both classic and recent results, the book details the many practical aspects of these important tools for solving a great variety of problems in probability and statistics. Topics include limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of the iterated logarithm, and the many inequalities for sums of an arbitrary number random variables. Ideal as both a graduate text and a reference for seasoned mathematicians, Limit Theorems of Probability Theory brings the reader to the frontier of current research. Seller Inventory # 2091814/202
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Condition: New. Limit theorems and probability inequalities for sums of independent random variables are beneficial to those studying probability and statistics. This treatise presents a clear exposition of classical and modern results in the field. Series: Oxford Studies in Probability. Num Pages: 304 pages, index. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 241 x 158 x 29. Weight in Grams: 592. . 1995. Hardback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780198534990