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Independent random variables and rearrangement invariant spaces /
The subject of this book lies on the boundary between probability theory and the theory of function spaces. Here Professor Braverman investigates independent random variables in rearrangement invariant (r.i.) spaces. The significant feature of r.i. spaces is that the norm of an element depends on it...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1994.
|
| Colección: | London Mathematical Society lecture note series ;
194. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Braverman, Michael Sh. | |
| 245 | 1 | 0 | |a Independent random variables and rearrangement invariant spaces / |c Michael Sh. Braverman. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1994. | ||
| 300 | |a 1 online resource (viii, 115 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 194 | |
| 504 | |a Includes bibliographical references (pages 113-115) and index. | ||
| 505 | 0 | |a 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. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a The subject of this book lies on the boundary between probability theory and the theory of function spaces. Here Professor Braverman investigates independent random variables in rearrangement invariant (r.i.) spaces. The significant feature of r.i. spaces is that the norm of an element depends on its distribution only, and this property allows the results and methods associated with r.i. spaces to be applied to problems in probability theory. On the other hand, probabilistic methods can also prove useful in the study of r.i. spaces. In this book new techniques are used and a number of interesting results are given. Most of the results are due to the author but have never before been available in English. Here they are all presented together in a volume that will be essential reading for all serious researchers in this area. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Random variables. | |
| 650 | 0 | |a Rearrangement invariant spaces. | |
| 650 | 0 | |a Inequalities (Mathematics) | |
| 650 | 6 | |a Variables aléatoires. | |
| 650 | 6 | |a Inégalités (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Inequalities (Mathematics) |2 fast |0 (OCoLC)fst00972020 | |
| 650 | 7 | |a Random variables. |2 fast |0 (OCoLC)fst01089812 | |
| 650 | 7 | |a Rearrangement invariant spaces. |2 fast |0 (OCoLC)fst01091266 | |
| 650 | 7 | |a Topologischer Vektorraum |2 gnd | |
| 650 | 7 | |a Unabhängige Zufallsvariable |2 gnd | |
| 650 | 1 | 7 | |a Waarschijnlijkheidstheorie. |2 gtt |
| 650 | 1 | 7 | |a Functieruimten. |2 gtt |
| 650 | 7 | |a Processos estocasticos. |2 larpcal | |
| 650 | 7 | |a Variables aléatoires. |2 ram | |
| 650 | 7 | |a Sous espaces invariants. |2 ram | |
| 650 | 7 | |a Inégalités (Mathématiques) |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Braverman, Michael Sh. |t Independent random variables and rearrangement invariant spaces. |d Cambridge ; New York : Cambridge University Press, 1994 |z 0521455154 |w (DLC) 96105776 |w (OCoLC)31415502 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 194. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552467 |z Texto completo |
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