Discrete Time Branching Processes in Random Environment. (Record no. 132242)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04748nam a22004333i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC5123119 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131548.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2017 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781119473558 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781786302526 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC5123119 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL5123119 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11464347 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1009042545 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA274.76 .K477 2017 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kersting, Götz. |
| 245 10 - TITLE STATEMENT | |
| Title | Discrete Time Branching Processes in Random Environment. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Newark : |
| Name of producer, publisher, distributor, manufacturer | John Wiley & Sons, Incorporated, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2017. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (311 pages) |
| 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 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Preface -- List of Notations -- 1. Branching Processes in Varying Environment -- 1.1. Introduction -- 1.2. Extinction probabilities -- 1.3. Almost sure convergence -- 1.4. Family trees -- 1.4.1. Construction of the Geiger tree -- 1.4.2. Construction of the size-biased tree T* -- 1.5. Notes -- 2. Branching Processes in Random Environment -- 2.1. Introduction -- 2.2. Extinction probabilities -- 2.3. Exponential growth in the supercritical case -- 2.4. Three subcritical regimes -- 2.5. The strictly critical case -- 2.6. Notes -- 3. Large Deviations for BPREs -- 3.1. Introduction -- 3.2. A tail estimate for branching processes in a varying environment -- 3.3. Proof of Theorem 3.1 -- 3.4. Notes -- 4. Properties of Random Walks -- 4.1. Introduction -- 4.2. Sparre-Andersen identities -- 4.3. Spitzer identity -- 4.4. Applications of Sparre-Andersen and Spitzer identities -- 4.4.1. Properties of ladder epochs and ladder heights -- 4.4.2. Tail distributions of ladder epochs -- 4.4.3. Some renewal functions -- 4.4.4. Asymptotic properties of Ln and Mn -- 4.4.5. Arcsine law -- 4.4.6. Large deviations for random walks -- 4.5. Notes -- 5. Critical BPREs: the Annealed Approach -- 5.1. Introduction -- 5.2. Changes of measures -- 5.3. Properties of the prospective minima -- 5.4. Survival probability -- 5.5. Limit theorems for the critical case (annealed approach) -- 5.6. Environment providing survival -- 5.7. Convergence of log Zn -- 5.8. Notes -- 6. Critical BPREs: the Quenched Approach -- 6.1. Introduction -- 6.2. Changes of measures -- 6.3. Probability of survival -- 6.4. Yaglom limit theorems -- 6.4.1. The population size at non-random moments -- 6.4.2. The population size at moments nt, 0 < -- t < -- 1 -- 6.4.3. The number of particles at moment τ(n) ≤ nt. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6.4.4. The number of particles at moment τ(n) > -- nt -- 6.5. Discrete limit distributions -- 6.6. Notes -- 7. Weakly Subcritical BPREs -- 7.1. Introduction -- 7.2. The probability measures P+ and P− -- 7.3. Proof of theorems -- 7.3.1. Proof of Theorem 7.1 -- 7.3.2. Proof of Theorem 7.2 -- 7.3.3. Proof of Theorem 7.3 -- 7.4. Notes -- 8. Intermediate Subcritical BPREs -- 8.1. Introduction -- 8.2. Proof of Theorems 8.1 to 8.3 -- 8.3. Further limit results -- 8.4. Conditioned family trees -- 8.5. Proof of Theorem 8.4 -- 8.6. Notes -- 9. Strongly Subcritical BPREs -- 9.1. Introduction -- 9.2. Survival probability and Yaglom-type limit theorems -- 9.3. Environments providing survival and dynamics of the population size -- 9.3.1. Properties of the transition matrix P* -- 9.3.2. Proof of Theorem 9.2 -- 9.3.3. Proof of Theorem 9.3 -- 9.4. Notes -- 10. Multi-type BPREs -- 10.1. Introduction -- 10.2. Supercritical MBPREs -- 10.3. The survival probability of subcritical and critical MBPREs -- 10.4. Functional limit theorem in the critical case -- 10.5. Subcritical multi-type case -- Appendix -- A.1. Examples of slowly varying functions -- Bibliography -- Index -- Other titles from iSTE in Mathematics and Statistics -- EULA. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Branching processes. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vatutin, Vladimir. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Kersting, Götz |
| Title | Discrete Time Branching Processes in Random Environment |
| Place, publisher, and date of publication | Newark : John Wiley & Sons, Incorporated,c2017 |
| International Standard Book Number | 9781786302526 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5123119">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5123119</a> |
| Public note | Click to View |
No items available.