000 02414nam a22003858i 4500
001 CR9781316104477
003 UkCbUP
005 20200124160209.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 140520s2018||||enk o ||1 0|eng|d
020 _a9781316104477 (ebook)
020 _z9781107088016 (hardback)
020 _z9781107458437 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA274.42
_b.L36 2018
082 0 0 _a519.2/4
_223
100 1 _aLast, Günter,
_eauthor.
245 1 0 _aLectures on the Poisson Process /
_cGünter Last, Mathew Penrose.
264 1 _aCambridge :
_bCambridge University Press,
_c2018.
300 _a1 online resource (xx, 293 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aInstitute of Mathematical Statistics textbooks ;
_v7
500 _aTitle from publisher's bibliographic system (viewed on 10 Nov 2017).
520 _aThe 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 0 _aPoisson processes.
650 0 _aStochastic processes.
650 0 _aProbabilities.
700 1 _aPenrose, Mathew,
_eauthor.
776 0 8 _iPrint version:
_z9781107088016
830 0 _aInstitute of Mathematical Statistics textbooks ;
_v7.
856 4 0 _uhttps://doi.org/10.1017/9781316104477
999 _c515604
_d515602