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Probabilistic Symmetries and Invariance Principles
Olav Kallenberg
€ 268.60
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Description for Probabilistic Symmetries and Invariance Principles
Hardback. This book is about random objects--sequences, processes, arrays, measures, functionals--with interesting symmetry properties. Series: Probability and its Applications. Num Pages: 524 pages, biography. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 28. Weight in Grams: 2000.
This book is about random objects-sequences, processes, arrays, measures, functionals-with interesting symmetry properties. Here symmetry should beunderstoodinthebroadsenseofinvarianceunderafamily(notnecessarily a group) of measurable transformations. To be precise, it is not the random objects themselves but rather their distributions that are assumed to be symmetric. Though many probabilistic symmetries are conceivable and have been considered in various contexts, four of them-stationarity, contractability, exchangeability, and rotatability-stand out as especially interesting and - portant in several ways: Their study leads to some deep structural theorems of great beauty and signi?cance, they are intimately related to some basic areasofmodernprobabilitytheory, andtheyaremutuallyconnectedthrough a variety of basic relationships. The ... Read more
This book is about random objects-sequences, processes, arrays, measures, functionals-with interesting symmetry properties. Here symmetry should beunderstoodinthebroadsenseofinvarianceunderafamily(notnecessarily a group) of measurable transformations. To be precise, it is not the random objects themselves but rather their distributions that are assumed to be symmetric. Though many probabilistic symmetries are conceivable and have been considered in various contexts, four of them-stationarity, contractability, exchangeability, and rotatability-stand out as especially interesting and - portant in several ways: Their study leads to some deep structural theorems of great beauty and signi?cance, they are intimately related to some basic areasofmodernprobabilitytheory, andtheyaremutuallyconnectedthrough a variety of basic relationships. The ... Read more
Product Details
Format
Hardback
Publication date
2005
Publisher
Springer-Verlag New York Inc. United States
Number of pages
524
Condition
New
Series
Probability and its Applications
Number of Pages
512
Place of Publication
New York, NY, United States
ISBN
9780387251158
SKU
V9780387251158
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Olav Kallenberg
Olav Kallenberg received his Ph.D. in 1972 from Chalmers University in Gothenburg, Sweden. After teaching for many years at Swedish universities, he moved in 1985 to the US, where he is currently Professor of Mathematics at Auburn University. He is well known for his previous books Random Measures (4th edition, 1986) and Foundations of Modern Probability (2nd edition, 2002) and ... Read more
Reviews for Probabilistic Symmetries and Invariance Principles
From the reviews of the first edition: "The starting point of this book … is de Finetti’s famous theorem characterizing sequences of exchangeable random variables as mixtures of i.i.d. random variables. … The monograph provides a tight approach to this subject based on modern mathematical tools … and presents de Finetti’s theorem in a new ... Read more