MARC details
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03975nam a22005415i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER |
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| International Standard Book Number |
9783540274995 |
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978-3-540-27499-5 |
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10.1007/3-540-27499-5 |
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doi |
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ISI Library, Kolkata |
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QA273.A1-274.9 |
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QA274-274.9 |
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PBT |
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bicssc |
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MAT029000 |
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bisacsh |
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PBT |
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thema |
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PBWL |
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thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.2 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Talagrand, Michel. |
| Relator code |
aut |
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http://id.loc.gov/vocabulary/relators/aut |
| 245 14 - TITLE STATEMENT |
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| Title |
The Generic Chaining |
| Medium |
[electronic resource] : |
| Remainder of title |
Upper and Lower Bounds of Stochastic Processes / |
| Statement of responsibility, etc |
by Michel Talagrand. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) |
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| Koha item type |
E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS |
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| Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
| Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
| Date of production, publication, distribution, manufacture |
2005. |
| 300 ## - |
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VIII, 222 p. |
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online resource. |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
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rdacontent |
| 337 ## - MEDIA TYPE |
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computer |
| Media Type Code |
c |
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rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier Type Term |
online resource |
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cr |
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rdacarrier |
| 347 ## - |
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text file |
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PDF |
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rda |
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Springer Monographs in Mathematics, |
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1439-7382 |
| 505 0# - |
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Overview and Basic Facts -- Gaussian Processes and Related Structures -- Matching Theorems -- The Bernoulli Conjecture -- Families of distances -- Applications to Banach Space Theory. |
| 520 ## - |
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Author's Note: The material of this book has been reworked and expanded with a lot more details and published in the author's 2014 book "Upper and Lower Bounds for Stochastic Processes" (Ergebnisse Vol. 60, ISBN 978-3-642-54074-5). This book is much easier to read and covers everything that is in "The Generic Chaining" book in a more detailed and comprehensible way. ************ What is the maximum level a certain river is likely to reach over the next 25 years? (Having experienced three times a few feet of water in my house, I feel a keen personal interest in this question. ) There are many questions of the same nature: what is the likely magnitude of the strongest earthquake to occur during the life of a planned building, or the speed of the strongest wind a suspension bridge will have to stand? All these situations can be modeled in the same manner. The value X of the quantity of interest (be it water t level or speed of wind) at time t is a random variable. What can be said about the maximum value of X over a certain range of t? t A collection of random variables (X ), where t belongs to a certain index t set T, is called a stochastic process, and the topic of this book is the study of the supremum of certain stochastic processes, and more precisely to ?nd upper and lower bounds for the quantity EsupX . (0. 1) t t?T Since T might be uncountable, some care has to be taken to de?ne this quantity. For any reasonable de?nition of Esup X we have t t?T EsupX =sup{EsupX ; F?T,F ?nite} , (0. 2) t t t?T t?F an equality that we will take as the de?nition of the quantity Esup X . t t?T Thus, the crucial case for the estimation of the quantity (0. |
| 650 #0 - |
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Distribution (Probability theory. |
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Mathematics. |
| 650 #0 - |
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Statistics. |
| 650 14 - |
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Probability Theory and Stochastic Processes. |
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http://scigraph.springernature.com/things/product-market-codes/M27004 |
| 650 24 - |
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Approximations and Expansions. |
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http://scigraph.springernature.com/things/product-market-codes/M12023 |
| 650 24 - |
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Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. |
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http://scigraph.springernature.com/things/product-market-codes/S17020 |
| 710 2# - |
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SpringerLink (Online service) |
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Springer eBooks |
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Printed edition: |
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9783642063862 |
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Printed edition: |
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9783540807520 |
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Printed edition: |
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9783540245186 |
| 830 #0 - |
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Springer Monographs in Mathematics, |
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1439-7382 |
| 856 40 - |
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https://doi.org/10.1007/3-540-27499-5 |
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ZDB-2-SMA |
| 950 ## - |
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Mathematics and Statistics (Springer-11649) |
