{"product_id":"lectures-on-the-poisson-process-paperback-9781107458437","title":"Lectures on the Poisson Process (Paperback \/ softback) 9781107458437","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLectures on the Poisson Process\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGünter Last (Author), Mathew Penrose (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107458437, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 26 October 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e314 pages\u003cbr\u003e22.7 x 15.3 x 1.5 cm, 0.46 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The book under review fills an essential gap and is a very valuable addition to the point process literature. There is no doubt that this volume is a milestone and will very quickly become a standard reference in every field in which the Poisson process appears.' Christoph Thale, MathSciNet\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e List of symbols\u003cbr\u003e 1. Poisson and other discrete distributions\u003cbr\u003e 2. Point processes\u003cbr\u003e 3. Poisson processes\u003cbr\u003e 4. The Mecke equation and factorial measures\u003cbr\u003e 5. Mappings, markings and thinnings\u003cbr\u003e 6. Characterisations of the Poisson process\u003cbr\u003e 7. Poisson processes on the real line\u003cbr\u003e 8. Stationary point processes\u003cbr\u003e 9. The Palm distribution\u003cbr\u003e 10. Extra heads and balanced allocations\u003cbr\u003e 11. Stable allocations\u003cbr\u003e 12. Poisson integrals\u003cbr\u003e 13. Random measures and Cox processes\u003cbr\u003e 14. Permanental processes\u003cbr\u003e 15. Compound Poisson processes\u003cbr\u003e 16. The Boolean model and the Gilbert graph\u003cbr\u003e 17. The Boolean model with general grains\u003cbr\u003e 18. Fock space and chaos expansion\u003cbr\u003e 19. Perturbation analysis\u003cbr\u003e 20. Covariance identities\u003cbr\u003e 21. Normal approximation\u003cbr\u003e 22. Normal approximation in the Boolean model\u003cbr\u003e Appendix A. Some measure theory\u003cbr\u003e Appendix B. Some probability theory\u003cbr\u003e Appendix C. Historical notes\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Signal processing [\u003ca title=\"See our other books on Signal processing\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Signal%20processing%20%5BUYS%5D%22\"\u003eUYS\u003c\/a\u003e], Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\u003c\/a\u003e], Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003074564376,"sku":"9781107458437","price":29.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107458437i.jpg?v=1696754445","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/lectures-on-the-poisson-process-paperback-9781107458437","provider":"Freshly Printed Books","version":"1.0","type":"link"}