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020 _a9783540450290
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024 7 _a10.1007/BFb0106703
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
072 7 _aPBT
_2thema
072 7 _aPBWL
_2thema
082 0 4 _a519.2
_223
100 1 _aEmery, Michel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLectures on Probability Theory and Statistics
_h[electronic resource] :
_bEcole d’Eté de Probabilités de Saint-Flour XXVIII - 1998 /
_cby Michel Emery, Arkadi Nemirovski, Dan Voiculescu ; edited by Pierre Bernard.
246 3 _aMSC 2000: 46L10, 46L53
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2000.
300 _aXIII, 349 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1738
505 0 _aVariétés, vecteurs, covecteurs, diffuseurs, codiffuseurs -- Semimartingales dans une variété et géométrie d’ordre 2 -- Connexions et martingales -- Fonctions convexes et comportement des martingales -- Mouvements browniens et applications harmoniques -- Preface -- Estimating regression functions from Hölder balls -- Estimating regression functions from Sobolev balls -- Spatial adaptive estimation on Sobolev balls -- Estimating signals satisfying differential inequalities -- Aggregation of estimates, I -- Aggregation of estimates, II -- Estimating functionals, I -- Estimating functionals, II -- Noncommutative probability and operator algebra background -- Addition of freely independent noncommutative random variables -- Multiplication of freely independent noncommutative random variables -- Generalized canonical form, noncrossing partitions -- Free independence with amalgamation -- Some basic free processes -- Random matrices in the large N limit -- Free entropy.
520 _aThis volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the three courses are the following: - Continuous martingales on differential manifolds. - Topics in non-parametric statistics. - Free probability theory. The reader is expected to have a graduate level in probability theory and statistics. This book is of interest to PhD students in probability and statistics or operators theory as well as for researchers in all these fields. The series of lecture notes from the Saint-Flour Probability Summer School can be considered as an encyclopedia of probability theory and related fields.
650 0 _aDistribution (Probability theory.
650 0 _aGlobal analysis (Mathematics).
650 0 _aGlobal differential geometry.
650 0 _aMathematical statistics.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aStatistical Theory and Methods.
_0http://scigraph.springernature.com/things/product-market-codes/S11001
700 1 _aNemirovski, Arkadi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aVoiculescu, Dan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aBernard, Pierre.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662189702
776 0 8 _iPrinted edition:
_z9783540677369
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1738
856 4 0 _uhttps://doi.org/10.1007/BFb0106703
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9519
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