Advances in Stochastic Inequalities (PDF)
This volume contains 15 articles based on invited talks given at an AMS Special Session on "e;Stochastic Inequalities and Their Applications"e; held at Georgia Institute of Technology (Atlanta). The session drew international experts who exchanged...
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This volume contains 15 articles based on invited talks given at an AMS Special Session on "e;Stochastic Inequalities and Their Applications"e; held at Georgia Institute of Technology (Atlanta). The session drew international experts who exchanged ideas and presented state-of-the-art results and techniques in the field. Together, the articles in the book give a comprehensive picture of this area of mathematical probability and statistics. The book includes new results on the following: convexity inequalities for ranges of vector measures; inequalities for tails of Gaussian chaos and for independent symmetric random variables; Bonferroni-type inequalities for sums of stationary sequences; Rosenthal-type second moment inequalities; variance inequalities for functions of multivariate random variables; correlation inequalities for stable random vectors; maximal inequalities for VC classes; deviation inequalities for martingale polynomials; and expectation equalities for bounded mean-zero Gaussian processes. Various articles in the book emphasize applications of stochastic inequalities to hypothesis testing, mathematical finance, statistics, and mathematical physics.
Bibliographische Angaben
- 2011, 212 Seiten
- Herausgegeben: Theodore P Hill
- ISBN-10: 0821878255
- ISBN-13: 9780821878255
- Erscheinungsdatum: 11.01.2011
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