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Stein's method and applications / [edited by] A.D. Barbour, Louis H.Y. Chen.

Contributor(s): Stein, Charles, 1920-2016 | Barbour, A. D | Chen, Louis H. Y. (Louis Hsiao Yun), 1940- | National University of Singapore. Institute for Mathematical SciencesMaterial type: TextTextSeries: Lecture notes series (National University of Singapore. Institute for Mathematical Sciences) ; v. 5.Publication details: Singapore : New Jersey ; Hong Kong : Singapore University Press ; World Scientific, ©2005. Description: 1 online resource (xx, 297 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9812567674; 9789812567673; 9789812562814; 9812562818; 1281880795; 9781281880796; 9786611880798; 6611880798Subject(s): Distribution (Probability theory) -- Congresses | Approximation theory -- Congresses | MATHEMATICS -- Probability & Statistics -- General | Approximation theory | Distribution (Probability theory)Genre/Form: Electronic book. | Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Stein's method and applications.DDC classification: 519.24 LOC classification: QA273.6 | .S696 2005ebOnline resources: Click here to access online
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.
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.
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" ... 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"--Preface.

Includes bibliographical references.

Print version record.

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.

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.

English.

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