LEADER 02615nam 22004575a 450 001 9910151937003321 005 20091109150325.0 010 $a3-03719-527-4 024 70$a10.4171/027 035 $a(CKB)3710000000953805 035 $a(CH-001817-3)44-091109 035 $a(PPN)178155179 035 $a(EXLCZ)993710000000953805 100 $a20091109j20070110 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on Empirical Processes$b[electronic resource] $eTheory and Statistical Applications /$fEustasio del Barrio, Paul Deheuvels, Sara van de Geer 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2007 215 $a1 online resource (263 pages) 225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176 330 $aThe theory of empirical processes constitutes the mathematical toolbox of asymptotic statistics. Its growth was accelerated by the 1950s work on the Functional Central Limit Theorem and the Invariance Principle. The theory has developed in parallel with statistical methodologies, and has been successfully applied to a large diversity of problems related to the asymptotic behaviour of statistical procedures. The three sets of lecture notes in the book offer a wide panorama of contemporary empirical processes theory. Techniques are developed in the framework of probability in Banach spaces, Hungarian-style strong approximations, using tools from general stochastic process theory. Other tools appear in this text in connection with historical as well as modern applications, such as goodness-of-fit tests, density estimation or general M-estimators. This book gives an excellent overview of the broad scope of the theory of empirical processes. It will be an invaluable aid for students and researchers interested in an advanced and well-documented approach to the selected topics. 606 $aProbability & statistics$2bicssc 606 $aStochastics$2bicssc 606 $aProbability theory and stochastic processes$2msc 606 $aStatistics$2msc 615 07$aProbability & statistics 615 07$aStochastics 615 07$aProbability theory and stochastic processes 615 07$aStatistics 686 $a60-xx$a62-xx$2msc 700 $adel Barrio$b Eustasio$01071022 702 $aDeheuvels$b Paul 702 $avan de Geer$b Sara 801 0$bch0018173 906 $aBOOK 912 $a9910151937003321 996 $aLectures on Empirical Processes$92565668 997 $aUNINA