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Author Hoffmann-Jørgensen, Jørgen
Title High Dimensional Probability III [electronic resource] / edited by Jørgen Hoffmann-Jørgensen, Jon A. Wellner, Michael B. Marcus
Imprint Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2003
book jacket
Descript 1 online resource (VIII, 346 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Progress in Probability ; 55
Progress in probability ; 55
Note Preface -- 1. Measures on General Spaces and Inequalities -- 2. Gaussian Processes -- 3. Limit Theorems -- 4. Local Times -- 5. Large and Small Deviations -- 6. Density Estimation -- 7. Statistics via Empirical Process Theory
The title High Dimensional Probability is used to describe the many tributaries of research on Gaussian processes and probability in Banach spaces that started in the early 1970s. Many of the problems that motivated researchers at that time were solved. But the powerful new tools created for their solution, such as randomization, isoperimetry, concentration of measure, moment and exponential inequalities, chaining, series representations, and decoupling turned out to be applicable to other important areas of probability. They led to significant advances in the study of empirical processes and other topics in theoretical statistics and to a new approach to the study of aspects of Lvy processes and Markov processes in general. The papers in this book reflect these broad categories. They are divided into seven sections: - measures on general spaces and inequalities - Gaussian processes - limit theorems - local times - large and small deviations - density estimation - statistics via empirical process theory
Subject Mathematics
Distribution (Probability theory)
Statistics
Distribution (Probability theory) fast (OCoLC)fst00895600
Mathematics. fast (OCoLC)fst01012163
Statistics. fast (OCoLC)fst01132103
Electronic books
Alt Author Wellner, Jon A
Marcus, Michael B
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