04269nam 2200685Ia 450 991045019250332120200520144314.01-281-88079-59786611880798981-256-767-4(CKB)1000000000247273(EBL)244557(OCoLC)475965602(SSID)ssj0000251329(PQKBManifestationID)11227638(PQKBTitleCode)TC0000251329(PQKBWorkID)10248567(PQKB)11247483(MiAaPQ)EBC244557(WSP)00000308 (PPN)164924337(Au-PeEL)EBL244557(CaPaEBR)ebr10106565(CaONFJC)MIL188079(OCoLC)935228870(EXLCZ)99100000000024727320051129d2005 uy 0engur|n|---|||||txtccrStein's method and applications[electronic resource] /[edited by] A.D. Barbour, Louis H.Y. ChenSingapore Singapore University Press ;New Jersey ;Hong Kong World Scientificc20051 online resource (319 p.)Lecture notes series / Institute for Mathematical Sciences, National University of Singapore ;5"... 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.981-256-281-8 Includes bibliographical references.CONTENTS; 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 methodAn 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 treesStein'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 iLecture notes series (National University of Singapore. Institute for Mathematical Sciences) ;v. 5.Distribution (Probability theory)CongressesApproximation theoryCongressesElectronic books.Distribution (Probability theory)Approximation theory519.2/4Stein Charles1929-896071Barbour A. D536411Chen Louis H. Y(Louis Hsiao Yun),1940-896072National University of Singapore.Institute for Mathematical Sciences.MiAaPQMiAaPQMiAaPQBOOK9910450192503321Stein's method and applications2001748UNINA