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Stein's method and applications / [edited by] A.D. Barbour, Louis H.Y. Chen.
- Format:
- Book
- Series:
- Lecture notes series (National University of Singapore. Institute for Mathematical Sciences) ; v. 5.
- Lecture notes series / Institute for Mathematical Sciences, National University of Singapore ; 5
- Language:
- English
- Subjects (All):
- Distribution (Probability theory)--Congresses.
- Distribution (Probability theory).
- Approximation theory--Congresses.
- Approximation theory.
- Physical Description:
- 1 online resource (319 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Singapore : Singapore University Press ; New Jersey ; Hong Kong : World Scientific, c2005.
- Language Note:
- English
- Summary:
- Stein'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
- Contents:
- 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 method
- An 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
- Notes:
- "... 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.
- Includes bibliographical references.
- ISBN:
- 9786611880798
- 9781281880796
- 1281880795
- 9789812567673
- 9812567674
- OCLC:
- 475965602
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