Lectures on the Poisson Process (Record no. 60055)
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000 -LEADER | |
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fixed length control field | 02642 a2200277 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240423b 2018|||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781107458437 (PB) |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
Universal Decimal Classification number | 519.2 |
Item number | LAST |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Last, Gunter |
245 ## - TITLE STATEMENT | |
Title | Lectures on the Poisson Process |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Name of publisher | Cambridge University Press |
Year of publication | 2018 |
Place of publication | UK |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xx, 293p. |
490 ## - SERIES STATEMENT | |
Series statement | Institute of Mathematical Statistics Textbooks |
Volume number/sequential designation | 7 |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes references (281-288) and Index |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | 1. Poisson and Other Discrete Distributions<br/>2. Point Processes<br/>3. Poisson Processes<br/>4. The Mecke Equation and Factorial Measures<br/>5. Mappings, Markings and Thinnings<br/>6. Characterisations of the Poisson Process<br/>7. Poisson Processes on the Real Line<br/>8. Stationary Point Processes<br/>9. The Palm Distribution<br/>10. Extra Heads and Balanced Allocations<br/>11. Stable Allocations<br/>12. Poisson Integrals<br/>13. Random Measures and Cox Processes<br/>14. Permanental Processes<br/>15. Compound Poisson Processes<br/>16. The Boolean Model and the Gilbert Graph<br/>17. The Boolean Model with General Grains<br/>18. Fock Space and Chaos Expansion<br/>19. Perturbation Analysis<br/>20. Covariance Identities<br/>21. Normal Approximation<br/>22. Normal Approximation in the Boolean Model |
520 ## - SUMMARY, ETC. | |
Summary, etc | The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process. Also discussed are applications and related topics in stochastic geometry, including stationary point processes, the Boolean model, the Gilbert graph, stable allocations, and hyperplane processes. Comprehensive, rigorous, and self-contained, this text is ideal for graduate courses or for self-study, with a substantial number of exercises for each chapter. Mathematical prerequisites, mainly a sound knowledge of measure-theoretic probability, are kept in the background, but are reviewed comprehensively in the appendix. The authors are well-known researchers in probability theory; especially stochastic geometry. Their approach is informed both by their research and by their extensive experience in teaching at undergraduate and graduate levels. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Abstract Analysis |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | General Statistics and Probability |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Statistics and Probability |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Probability Theory and Stochastic Processes |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Statistical Theory and Methods |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
Topical term or geographic name as entry element | Mathematics |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Penrose, Mathew |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | BOOKS |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
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IMSc Library | First Floor, Rack No: 35, Shelf No: 7 | 519.2 LAST | 77672 | BOOKS |