Approximation Theory in the Central Limit Theorem

Exact Results in Banach Spaces

von V. Paulauskas, A. Rackauskas

180 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

1. General Questions of the Distribution Theory in Banach Spaces.- 1.1. Random Elements in Banach Spaces.- 1.2. Main Facts on Gaussian Measures in Banach Spaces.- 1.3. Weak Convergence of Probability Measures and Some Inequalities.- 2. Some Questions of Non-Linear Analysis.- 2.1. Differentiation in Normed Spaces.- 2.2. Smooth Approximation in a Banach Space.- 2.3. Supplements.- 3. The Central Limit Theorem in Banach Spaces.- 3.1. Operators of Type p.- 3.2. The Central Limit Theorem.- 3.3. Supplements.- 4. Gaussian Measure of ?-Strip of Some Sets.- 4.1. General Remarks.- 4.2. Distribution Density of the Norm of a Gaussian Element in Lp.- 4.3. Distribution Density of the Norm of a Gaussian Element in c0.- 4.4. Supplements.- 5. Estimates of Rate of Convergence in the Central Limit Theorem.- 5.1. Estimates of the Rate of Convergence on Sets.- 5.2. Estimates of the Rate of Convergence in the Central Limit Theorem in Some Banach Spaces.- 5.3. Estimates of the Rate of Convergence in the Prokhorov Metric and the Bounded Lipschitz Metric.- 5.4. Supplements.- Bibliographical Notes.- References.

• Themen: Mathematik und Naturwissenschaften Physik Mathematische / Computergestützte / Theoretische Physik
• ISBN: 9789401178006
• Sprache: Englisch
• Erscheinungsdatum: 09.04.2012
• Größe: 235 x 155 mm
• Verlag: Springer