Independent random variables and rearrangement invariant spaces:
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Bibliographic Details
Main Author: Braverman, Michael Sh (Author)
Format: Electronic eBook
Language:English
Published: Cambridge Cambridge University Press 1994
Series:London Mathematical Society lecture note series 194
Subjects:
Online Access:FAW01
FAW02
Volltext
Item Description:Includes bibliographical references (p. [113]-115) and index
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
Physical Description:1 Online-Ressource (viii, 115 p.)
ISBN:0511662343
0521455154
1107362016
9780511662348
9780521455152
9781107362017

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