MARC details
| 000 -LEADER |
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| fixed length control field |
03038nam a2200397 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
CR9781009093965 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240905181748.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
210517s2022||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781009093965 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9781009098441 (hardback) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
UkCbUP |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
UkCbUP |
| 041 1# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| Language code of original |
rus |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA273.67 |
| Item number |
.B67 2022 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.2 |
| Edition number |
23/eng20220215 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Borovkov, A. A. |
| Fuller form of name |
(Aleksandr Alekseevich), |
| Dates associated with a name |
1931- |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Compound renewal processes / |
| Statement of responsibility, etc. |
A.A. Borovkov ; translated by Alexey Alimov. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Cambridge ; New York : |
| Name of producer, publisher, distributor, manufacturer |
Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2022. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xvi, 362 pages) : |
| Other physical details |
digital, PDF file(s). |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Encyclopedia of mathematics and its applications ; |
| Volume/sequential designation |
184 |
| 500 ## - GENERAL NOTE |
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| General note |
Title from publisher's bibliographic system (viewed on 20 Jun 2022). |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Main limit laws in the normal deviation zone -- Integro-local limit theorems in the normal deviation zone -- Large deviation principles for compound renewal processes -- Large deviation principles for trajectories of compound renewal processes -- Integro-local limit theorems under the Cramér moment condition -- Exact asymptotics in boundary crossing problems for compound renewal processes -- Extension of the invariance principle to the zones of moderately large and small deviations -- Appendix. On boundary crossing problems for compound renewal processes when the Cramér condition is not fulfilled. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Compound renewal processes (CRPs) are among the most ubiquitous models arising in applications of probability. At the same time, they are a natural generalization of random walks, the most well-studied classical objects in probability theory. This monograph, written for researchers and graduate students, presents the general asymptotic theory and generalizes many well-known results concerning random walks. The book contains the key limit theorems for CRPs, functional limit theorems, integro-local limit theorems, large and moderately large deviation principles for CRPs in the state space and in the space of trajectories, including large deviation principles in boundary crossing problems for CRPs, with an explicit form of the rate functionals, and an extension of the invariance principle for CRPs to the domain of moderately large and small deviations. Applications establish the key limit laws for Markov additive processes, including limit theorems in the domains of normal and large deviations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Limit theorems (Probability theory) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Deviation (Mathematics) |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Alimov, Alexey, |
| Relator term |
translator. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| International Standard Book Number |
9781009098441 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Encyclopedia of mathematics and its applications ; |
| Volume/sequential designation |
184. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1017/9781009093965">https://doi.org/10.1017/9781009093965</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
eBooks |
