MARC record from Internet Archive

LEADER: 04522cam 2200613 a 4500
001 ocm25706494
003 OCoLC
005 20200506212315.0
008 920326s1992 nyua b 001 0 eng
010 $a 92012811
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020 $a0471540250$q(alk. paper)
020 $a9780471540250$q(alk. paper)
035 $a(OCoLC)25706494$z(OCoLC)27012772
050 00 $aQA273.6$b.L54 1992
082 00 $a519.2/4$220
084 $a31.70$2bcl
084 $a*60K99$2msc
100 1 $aLindvall, Torgny,$d1945-
245 10 $aLectures on the coupling method /$cTorgny Lindvall.
260 $aNew York :$bWiley,$c℗♭1992.
300 $axii, 257 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aWiley series in probability and mathematical statistics. Probability and mathematical statistics
500 $a"A Wiley-Interscience publication."
504 $aIncludes bibliographical references (pages 241-245) and index.
520 $aDuring the last two decades, the coupling method has developed as a critically important tool in probability theory and its applications. Used primarily for estimates of total variation distances, the method also works well in establishing inequalities and has proven highly successful in the study of Markov and renewal process asymptotics. The range of applications, which now include queueing networks, epidemics and infinite particle systems, has rapidly grown. Yet, despite the acknowledged popularity and importance of the method, there existed no definitive reference on the coupling phenomenon. Until now. Lectures on the Coupling Method is the first detailed, comprehensive examination of the coupling method, its many uses, and gaining influence in probability studies. Designed as a premier introductory textbook, Lectures on the Coupling Method leads the reader from simple to advanced topics in a clear progressive format, while illustrating key facets of the method's underlying theory and mechanics. Complete with end-of-discussion notes, each chapter is a thorough and rigorous tutorial, designed to pique interest and strengthen subject mastery. Topics include: What is a coupling? the coupling inequality; renewal theory; the discrete renewal theorem; Markov chains; card shuffling; poisson approximation; Harris chains; ergodicity; maximal coupling; Markov processes; Strassen's theorem domination and monotonicity of Markov processes; and birth and death processes. The book also sheds light on the many special types of processes, such as random walks, diffusions, and regenerative processes, in which the method has proven useful. Complete with an explanatory list of notation used, subject index, ample references, and an appendix, the text is a practical, easy-to-use reference which accommodates the diverse informational needs of statistical, mathematical, operations research professionals, instructors, and students alike. A cornerstone textbook destined to serve as the field's common reference, Lectures on the Coupling Method is the first comprehensive look at the theory, features, and operational specifics central to the success of the coupling method.
650 0 $aProbability measures.
650 7 $a31.70 probability.$0(NL-LeOCL)077602080$2bcl
650 7 $aProbability measures.$2fast$0(OCoLC)fst01077757
650 17 $aStochastische methoden.$2gtt
650 7 $aMesures de probabilite s.$2ram
653 0 $aProbabilities
740 0 $aCoupling method.
830 0 $aWiley series in probability and mathematical statistics.$pProbability and mathematical statistics.
856 41 $3Table of contents$uhttp://www.gbv.de/dms/bowker/toc/9780471540250.pdf
856 42 $3Inhaltstext$uhttp://www.zentralblatt-math.org/zmath/en/search/?an=0850.60019
938 $aBaker & Taylor$bBKTY$c125.00$d125.00$i0471540250$n0002124713$sactive
938 $aBaker and Taylor$bBTCP$n92012811
938 $aYBP Library Services$bYANK$n419186
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948 $hNO HOLDINGS IN P4A - 227 OTHER HOLDINGS