LEADER 04269nam 2200685Ia 450 001 9910450192503321 005 20200520144314.0 010 $a1-281-88079-5 010 $a9786611880798 010 $a981-256-767-4 035 $a(CKB)1000000000247273 035 $a(EBL)244557 035 $a(OCoLC)475965602 035 $a(SSID)ssj0000251329 035 $a(PQKBManifestationID)11227638 035 $a(PQKBTitleCode)TC0000251329 035 $a(PQKBWorkID)10248567 035 $a(PQKB)11247483 035 $a(MiAaPQ)EBC244557 035 $a(WSP)00000308 035 $a(PPN)164924337 035 $a(Au-PeEL)EBL244557 035 $a(CaPaEBR)ebr10106565 035 $a(CaONFJC)MIL188079 035 $a(OCoLC)935228870 035 $a(EXLCZ)991000000000247273 100 $a20051129d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aStein's method and applications$b[electronic resource] /$f[edited by] A.D. Barbour, Louis H.Y. Chen 210 $aSingapore $cSingapore University Press ;$aNew Jersey ;$aHong Kong $cWorld Scientific$dc2005 215 $a1 online resource (319 p.) 225 1 $aLecture notes series / Institute for Mathematical Sciences, National University of Singapore ;$v5 300 $a"... contains the proceedings of a workshop which took place during the meeting Stein's Method and Applications: A Program in Honor of Charles Stein, held in Singapore at the Institute for Mathematical Sciences, from 28 July to 31 August 2003."--Pref. 311 $a981-256-281-8 320 $aIncludes bibliographical references. 327 $aCONTENTS; FOREWORD; PREFACE; Zero biasing in one and higher dimensions, and applications; Poisson limit theorems for the appearances of attributes; Normal approximation in geometric probability; Stein's method, Edgeworth's expansions and a formula of Barbour; Stein's method for compound Poisson approximation via immigration-death processes; The central limit theorem for the independence number for minimal spanning trees in the unit square; Stein's method, Markov renewal point processes, and strong memoryless times; Multivariate Poisson-binomial approximation using Stein's method 327 $aAn explicit Berry-Esseen bound for Student's t-statistic via Stein's methodAn application of Stein's method to maxima in hypercubes; Exact expectations of minimal spanning trees for graphs with random edge weights; Limit theorems for spectra of random matrices with martingale structure; Characterization of Brownian motion on manifolds through integration by parts; On the asymptotic distribution of some randomized quadrature rules; The permutation distribution of matrix correlation statistics; Applications of Stein's method in the analysis of random binary search trees 330 $aStein's startling technique for deriving probability approximations first appeared about 30 years ago. Since then, much has been done to refine and develop the method, but it is still a highly active field of research, with many outstanding problems, both theoretical and in applications. This volume, the proceedings of a workshop held in honour of Charles Stein in Singapore, August 2003, contains contributions from many of the mathematicians at the forefront of this effort. It provides a cross-section of the work currently being undertaken, with many pointers to future directions. The papers i 410 0$aLecture notes series (National University of Singapore. Institute for Mathematical Sciences) ;$vv. 5. 606 $aDistribution (Probability theory)$vCongresses 606 $aApproximation theory$vCongresses 608 $aElectronic books. 615 0$aDistribution (Probability theory) 615 0$aApproximation theory 676 $a519.2/4 701 $aStein$b Charles$f1929-$0896071 701 $aBarbour$b A. D$0536411 701 $aChen$b Louis H. Y$g(Louis Hsiao Yun),$f1940-$0896072 712 02$aNational University of Singapore.$bInstitute for Mathematical Sciences. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450192503321 996 $aStein's method and applications$92001748 997 $aUNINA