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Book Cover
PRINTED BOOKS
Author Braverman, Michael Sh.

Title Independent random variables and rearrangement invariant spaces / Michael Sh. Braverman.

Published Cambridge ; New York : Cambridge University Press, 1994.

Copies

Location Call No. Status
 UniM ERC  519.2 BRAV    AVAILABLE
Physical description viii, 115 pages ; 23 cm.
Series London Mathematical Society lecture note series ; 194.
London Mathematical Society lecture note series ; 194.
Bibliography Includes bibliographical references (pages [113]-115) and index.
Contents Ch. I. Preliminaries. 1. Rearrangement invariant spaces. 2. The function of dilatation and Boyd indices. 3. Independent random variables. 4. Probability inequalities. 5. Disjoint random variables. 6. The Kruglov property. 7. Bases and sequence spaces. 8. Stable distributions -- Ch. II. Inequalities for sums of independent random variables in rearrangement invariant spaces. 1. Rosenthal's inequality and a characterization of the spaces L[subscript p]. 2. Estimates of von Bahr-Esseen type. 3. Upper estimates of the Rosenthal type. 4. Estimates in exponential Orlicz spaces -- Ch. III. Linear combinations of independent random variables in rearrangement invariant spaces. 1. l[subscript q]-estimates [actual symbol not reproducible]. 2. l[subscript 2]-estimates. 3. Stable random variables with different exponents. 4. Equidistributed random variables in exponential Orlicz spaces -- Ch. IV. Complementability of subspaces generated by independent random variables.
1. Subspaces generated by bounded random variables. 2. Subspaces generated by equidistributed random variables.
Subject Random variables.
Rearrangement invariant spaces.
Inequalities (Mathematics)
Probability.
ISBN 0521455154 (paperback)