Logarithmic Combinatorial Structures A Probabilistic Approach
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Logarithmic Combinatorial Structures
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Author : Richard Arratia
language : en
Publisher: European Mathematical Society
Release Date : 2003
Logarithmic Combinatorial Structures written by Richard Arratia and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This book explains similarities in asymptotic behavior as the result of two basic properties shared by the structures: the conditioning relation and the logarithmic condition. The discussion is conducted in the language of probability, enabling the theory to be developed under rather general and explicit conditions; for the finer conclusions, Stein's method emerges as the key ingredient.
Logarithmic Combinatorial Structures A Probabilistic Approach
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Author : R. Arratia (Barbour, A.D., Tavare, S.)
language : en
Publisher:
Release Date : 2013
Logarithmic Combinatorial Structures A Probabilistic Approach written by R. Arratia (Barbour, A.D., Tavare, S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Combinatorics And Probability
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Author : Graham Brightwell
language : en
Publisher: Cambridge University Press
Release Date : 2007-03-08
Combinatorics And Probability written by Graham Brightwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-08 with Mathematics categories.
This volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.
Probability Approximations And Beyond
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Author : Andrew Barbour
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-08
Probability Approximations And Beyond written by Andrew Barbour and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-08 with Mathematics categories.
In June 2010, a conference, Probability Approximations and Beyond, was held at the National University of Singapore (NUS), in honor of pioneering mathematician Louis Chen. Chen made the first of several seminal contributions to the theory and application of Stein’s method. One of his most important contributions has been to turn Stein’s concentration inequality idea into an effective tool for providing error bounds for the normal approximation in many settings, and in particular for sums of random variables exhibiting only local dependence. This conference attracted a large audience that came to pay homage to Chen and to hear presentations by colleagues who have worked with him in special ways over the past 40+ years. The papers in this volume attest to how Louis Chen’s cutting-edge ideas influenced and continue to influence such areas as molecular biology and computer science. He has developed applications of his work on Poisson approximation to problems of signal detection in computational biology. The original papers contained in this book provide historical context for Chen’s work alongside commentary on some of his major contributions by noteworthy statisticians and mathematicians working today.
Analytic Combinatorics
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Author : Philippe Flajolet
language : en
Publisher: Cambridge University Press
Release Date : 2009-01-15
Analytic Combinatorics written by Philippe Flajolet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-15 with Mathematics categories.
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Combinatorics And Finite Fields
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Author : Kai-Uwe Schmidt
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-08
Combinatorics And Finite Fields written by Kai-Uwe Schmidt and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-08 with Mathematics categories.
Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.
Probability And Mathematical Genetics
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Author : N. H. Bingham
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-15
Probability And Mathematical Genetics written by N. H. Bingham and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-15 with Mathematics categories.
No leading university department of mathematics or statistics, or library, can afford to be without this unique text. Leading authorities give a unique insight into a wide range of currently topical problems, from the mathematics of road networks to the genomics of cancer.
A Course In Error Correcting Codes
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Author : Jørn Justesen
language : en
Publisher: European Mathematical Society
Release Date : 2004
A Course In Error Correcting Codes written by Jørn Justesen and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Error-correcting codes (Information theory) categories.
This book is written as a text for a course aimed at advanced undergraduates. Chapters cover the codes and decoding methods that are currently of most interest in research, development, and application. They give a relatively brief presentation of the essential results, emphasizing the interrelations between different methods and proofs of all important results. A sequence of problems at the end of each chapter serves to review the results and give the student an appreciation of the concepts.
Mathematics And Computer Science Iii
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Author : Michael Drmota
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-23
Mathematics And Computer Science Iii written by Michael Drmota and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-23 with Computers categories.
Mathematics and Computer Science III contains invited and contributed papers on combinatorics, random graphs and networks, algorithms analysis and trees, branching processes, constituting the Proceedings of the Third International Colloquium on Mathematics and Computer Science, held in Vienna in September 2004. It addresses a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers.
Statistics Based On Dirichlet Processes And Related Topics
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Author : Hajime Yamato
language : en
Publisher: Springer Nature
Release Date : 2020-07-17
Statistics Based On Dirichlet Processes And Related Topics written by Hajime Yamato and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-17 with Mathematics categories.
This book focuses on the properties associated with the Dirichlet process, describing its use a priori for nonparametric inference and the Bayes estimate to obtain limits for the estimable parameter. It presents the limits and the well-known U- and V-statistics as a convex combination of U-statistics, and by investigating this convex combination, it demonstrates these three statistics. Next, the book notes that the Dirichlet process gives the discrete distribution with probability one, even if the parameter of the process is continuous. Therefore, there are duplications among the sample from the distribution, which are discussed. Because sampling from the Dirichlet process is described sequentially, it can be described equivalently by the Chinese restaurant process. Using this process, the Donnelly–Tavaré–Griffiths formulas I and II are obtained, both of which give the Ewens’ sampling formula. The book then shows the convergence and approximation of the distribution for its number of distinct components. Lastly, it explains the interesting properties of the Griffiths–Engen–McCloskey distribution, which is related to the Dirichlet process and the Ewens’ sampling formula.