High Dimensional Probability III (Progress in Probability, V. 55)
Publisher: Birkhauser
Published: November 2003
Language: eng
Format: Hardcover
Number of pages: 346
ISBN-13: 9780817621872
Subjects: Probability & Statistics - General; Mathematics; Congresses; Science/Mathematics; Probabilities; Linear topological spaces; Gaussian processes
First sentence: In the theory of empirical processes and uniform convergence of stochastic processes, non-measurable norms and non-measurable "random elements" occur naturally and a crucial part of the theory consists in extending the classical inequalities (Levy's inequality, Ottaviani's inequality, Jensen's inequality, the symmetrization inequalities, the exponential inequality and the subgaussian inequalities) to vector valued non-measurable functions under various independence and regularity conditions.