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Record Nr. |
UNINA9910450192503321 |
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Titolo |
Stein's method and applications [[electronic resource] /] / [edited by] A.D. Barbour, Louis H.Y. Chen |
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Pubbl/distr/stampa |
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Singapore, : Singapore University Press |
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New Jersey ; ; Hong Kong, : World Scientific, c2005 |
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ISBN |
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1-281-88079-5 |
9786611880798 |
981-256-767-4 |
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Descrizione fisica |
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1 online resource (319 p.) |
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Collana |
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Lecture notes series / Institute for Mathematical Sciences, National University of Singapore ; ; 5 |
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Altri autori (Persone) |
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SteinCharles <1929-> |
BarbourA. D |
ChenLouis H. Y <1940-> (Louis Hsiao Yun) |
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Disciplina |
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Soggetti |
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Distribution (Probability theory) |
Approximation theory |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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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."--Pref. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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; |
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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 |
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Sommario/riassunto |
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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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