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020 _a9783642033100
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
041 _aEnglish
082 0 0 _a519.22
_bDEM-L
100 1 _aDembo, Amir.
245 1 0 _aLarge deviations techniques and applications
250 _a2nd ed.
260 _aNew York :
_bSpringer,
_c2010.
300 _axvi, 396p. :
_bill. ;
_c24 cm.
490 _aApplications of mathematics ;
_v38.
504 _aIncludes bibliographical references (p. 363-384) and indexes.
520 _aLarge deviation estimates have proved to be the crucial tool required to handle many questions in statistics, engineering, statistial mechanics, and applied probability. Amir Dembo and Ofer Zeitouni, two of the leading researchers in the field, provide an introduction to the theory of large deviations and applications at a level suitable for graduate students. The mathematics is rigorous and the applications come from a wide range of areas, including electrical engineering and DNA sequences. The second edition, printed in 1998, included new material on concentration inequalities and the metric and weak convergence approaches to large deviations. General statements and applications were sharpened, new exercises added, and the bibliography updated. The present soft cover edition is a corrected printing of the 1998 edition.
650 0 _aLarge deviations.
650 0 _aContraction principle (large deviations theory)
650 0 _aDawson-Gartner theorem
650 0 _aExponentially equivalent measures
650 0 _aFreidlin–Wentzell theorem
650 0 _aStatistics
650 0 _aSchilders theorem
700 1 _aZeitouni, Ofer.
856 4 1 _3Table of Contents
_uhttps://link.springer.com/book/10.1007/978-3-642-03311-7#toc
856 4 2 _3Reviews
_uhttps://www.goodreads.com/book/show/2787439-large-deviations-techniques-and-applications?from_search=true&from_srp=true&qid=vZg8ArJX20&rank=1#CommunityReviews
856 4 3 _3Electronic Version
_uhttps://link.springer.com/book/10.1007/978-3-642-03311-7
942 _cBK
_2udc
999 _c35008
_d35008