Mod-ϕ Convergence (Record no. 426599)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03919nam a22005775i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319468228 |
| -- | 978-3-319-46822-8 |
| 024 7# - | |
| -- | 10.1007/978-3-319-46822-8 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA273.A1-274.9 |
| 050 #4 - | |
| -- | QA274-274.9 |
| 072 #7 - | |
| -- | PBT |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT029000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBT |
| -- | thema |
| 072 #7 - | |
| -- | PBWL |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.2 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Féray, Valentin. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Mod-ϕ Convergence |
| Medium | [electronic resource] : |
| Remainder of title | Normality Zones and Precise Deviations / |
| Statement of responsibility, etc | by Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2016. |
| 300 ## - | |
| -- | XII, 152 p. 17 illus., 9 illus. in color. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | SpringerBriefs in Probability and Mathematical Statistics, |
| -- | 2365-4333 |
| 505 0# - | |
| -- | Preface -- Introduction -- Preliminaries -- Fluctuations in the case of lattice distributions -- Fluctuations in the non-lattice case -- An extended deviation result from bounds on cumulants -- A precise version of the Ellis-Gärtner theorem -- Examples with an explicit generating function -- Mod-Gaussian convergence from a factorisation of the PGF -- Dependency graphs and mod-Gaussian convergence -- Subgraph count statistics in Erdös-Rényi random graphs -- Random character values from central measures on partitions -- Bibliography. |
| 520 ## - | |
| -- | The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples. . |
| 650 #0 - | |
| -- | Distribution (Probability theory. |
| 650 #0 - | |
| -- | Number theory. |
| 650 #0 - | |
| -- | Combinatorics. |
| 650 #0 - | |
| -- | Matrix theory. |
| 650 14 - | |
| -- | Probability Theory and Stochastic Processes. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M27004 |
| 650 24 - | |
| -- | Number Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 650 24 - | |
| -- | Combinatorics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M29010 |
| 650 24 - | |
| -- | Linear and Multilinear Algebras, Matrix Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11094 |
| 700 1# - | |
| -- | Méliot, Pierre-Loïc. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 700 1# - | |
| -- | Nikeghbali, Ashkan. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319468211 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319468235 |
| 830 #0 - | |
| -- | SpringerBriefs in Probability and Mathematical Statistics, |
| -- | 2365-4333 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-46822-8 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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