Lectures on the Poisson Process (Record no. 60055)

000 -LEADER
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
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Shelving location Full call number Accession Number Koha item type
        IMSc Library First Floor, Rack No: 35, Shelf No: 7 519.2 LAST 77672 BOOKS
The Institute of Mathematical Sciences, Chennai, India

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