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Asymptotic theory of statistics and probability
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ISBN: 9780387759708 9780387759715 0387759700 Year: 2008 Publisher: New York : Springer,

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This book is an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. The book has 34 chapters over a wide range of topics, nearly 600 exercises for practice and instruction, and another 300 worked out examples. It also includes a large compendium of 300 useful inequalities on probability, linear algebra, and analysis that are collected together from numerous sources, as an invaluable reference for researchers in statistics, probability, and mathematics. It can be used as a graduate text, as a versatile research reference, as a source for independent reading on a wide assembly of topics, and as a window to learning the latest developments in contemporary topics. The book is unique in its detailed coverage of fundamental topics such as central limit theorems in numerous setups, likelihood based methods, goodness of fit, higher order asymptotics, as well as of the most modern topics such as the bootstrap, dependent data, Bayesian asymptotics, nonparametric density estimation, mixture models, and multiple testing and false discovery. It provides extensive bibliographic references on all topics that include very recent publications. Anirban DasGupta is Professor of Statistics at Purdue University. He has also taught at the Wharton School of the University of Pennsylvania, at Cornell University, and at the University of California at San Diego. He has been on the editorial board of the Annals of Statistics since 1998 and has also served on the editorial boards of the Journal of the American Statistical Association, International Statistical Review, and the Journal of Statistical Planning and Inference. He has edited two monographs in the lecture notes monograph series of the Institute of Mathematical Statistics, is a Fellow of the Institute of Mathematical Statistics and has 70 refereed publications on theoretical statistics and probability in major journals.

All of nonparametric statistics.
Author:
ISBN: 0387251456 1441920447 9786610619153 1280619155 0387306234 9780387251455 Year: 2007 Publisher: Springer

Mathematical Statistics: Exercises and Solutions
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ISBN: 0387249702 9780387249704 9786610612079 128061207X 0387282769 Year: 2005 Publisher: New York, NY : Springer New York : Imprint: Springer,

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This book consists of four hundred exercises in mathematical statistics and their solutions, over 95% of which are in the author's Mathematical Statistics, Second Edition (Springer, 2003). For students preparing for work on a Ph.D. degree in statistics and instructors of mathematical statistics courses, this useful book provides solutions to train students for their research ability in mathematical statistics and presents many additional results and examples that complement any text in mathematical statistics. To develop problem-solving skills, two solutions and/or notes of brief discussions accompany a few exercises. The exercises are grouped into seven chapters with titles matching those in the author's Mathematical Statistics. On the other hand, the book is stand-alone because exercises and solutions are comprehensible independently of their source, and notation and terminology are explained in the front of the book. Readers are assumed to have a good knowledge in advanced calculus. A course in real analysis or measure theory is highly recommended. If this book is used with a statistics textbook that does not include probability theory, then knowledge in measure-theoretic probability theory is required. Jun Shao is Professor of Statistics at the University of Wisconsin, Madison.

Introduction to Stochastic Calculus for Finance : A New Didactic Approach
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ISBN: 3540348360 9783540348368 9786610724918 1280724919 3540348379 Year: 2006 Volume: 579 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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The large number of already available textbooks on stochastic calculus with specific applications to finance requires a justification for another contribution to this subject. The justifcation is mainly pedagogical. These lecture notes start with an elementary approach to stochastic calculus due to Föllmer, who showed that one can develop Ito's calculus "pathwise" as an exercise in real analysis. The text opens to students interested in finance a quick (but by no means "dirty") road to the tools required for advanced finance in continuous time, including option pricing by martingale methods, term structure models in a HJM-framework and the Libor market model. The reader is supposed only to be familiar with elementary real analysis (e.g. Taylor's Theorem) and basic probability theory. The text is also useful for mathematicians interested in the methods of modern mathematical finance without prior knowledge of advanced stochastic analysis.

An Introduction to Copulas
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ISBN: 0387286594 9780387286594 1441921095 9786610938339 1280938331 0387286780 9781441921093 Year: 2006 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Copulas are functions that join multivariate distribution functions to their one-dimensional margins. The study of copulas and their role in statistics is a new but vigorously growing field. In this book the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the construction of families of bivariate distributions. With 116 examples, 54 figures, and 167 exercises, this book is suitable as a text or for self-study. The only prerequisite is an upper level undergraduate course in probability and mathematical statistics, although some familiarity with nonparametric statistics would be useful. Knowledge of measure-theoretic probability is not required. The revised second edition includes new sections on extreme value copulas, tail dependence, and quasi-copulas. Roger B. Nelsen is Professor of Mathematics at Lewis & Clark College in Portland, Oregon. He is also the author of Proofs Without Words: Exercises in Visual Thinking and Proofs Without Words II: More Exercises in Visual Thinking, published by the Mathematical Association of America.

Keywords

Stochastic processes --- Mathematical statistics --- Copulas (Mathematical statistics) --- Distribution (Probability theory) --- Copules (Statistique mathématique) --- Distribution (Théorie des probabilités) --- Copulas (Mathematical statistics). --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- 519.5 --- Copulas (mathematical statistics) --- Copules (Statistique mathématique) --- Distribution (Théorie des probabilités) --- EPUB-LIV-FT LIVSTATI SPRINGER-B --- Mathematics. --- Computer simulation. --- Economics, Mathematical. --- Probabilities. --- Statistics. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Statistics for Business/Economics/Mathematical Finance/Insurance. --- Quantitative Finance. --- Simulation and Modeling. --- Distribution (Probability theory. --- Mathematical statistics. --- Finance. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Funding --- Funds --- Economics --- Currency question --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Sampling (Statistics) --- Statistics . --- Economics, Mathematical . --- Mathematical economics --- Probability --- Combinations --- Chance --- Least squares --- Risk --- Methodology

Computational Genome Analysis : An Introduction
Authors: --- ---
ISBN: 0387987851 1441931627 0387288074 Year: 2005 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Computational Genome Analysis: An Introduction presents the foundations of key problems in computational molecular biology and bioinformatics. It focuses on computational and statistical principles applied to genomes, and introduces the mathematics and statistics that are crucial for understanding these applications. The book is appropriate for a one-semester course for advanced undergraduate or beginning graduate students, and it can also introduce computational biology to computer scientists, mathematicians, or biologists who are extending their interests into this exciting field. This book features:Topics organized around biological problems, such as sequence alignment and assembly, DNA signals, analysis of gene expression, and human genetic variation. Presentation of fundamentals of probability, statistics, and algorithms. Implementation of computational methods with numerous examples based upon the R statistics package. Extensive descriptions and explanations to complement the analytical development. More than 100 illustrations and diagrams (some in color) to reinforce concepts and present key results from the primary literature. Exercises at the end of chapters. Richard C. Deonier is Professor Emeritus in the Molecular and Computational Biology Section of the Department of Biological Sciences at the University of Southern California. Originally trained as a physical biochemist, His major research has been in areas of molecular genetics, with particular interests in physical methods for gene mapping, bacterial transposable elements, and conjugative plasmids. During 30 years of active teaching, he has taught chemistry, biology, and computational biology at both the undergraduate and graduate levels. Simon Tavaré holds the George and Louise Kawamoto Chair in Biological Sciences and is a Professor of Biological Sciences, Mathematics, and Preventive Medicine at the University of Southern California. Professor Tavaré's research lies at the interface between statistics and biology, specifically focusing on problems arising in molecular biology, human genetics, population genetics, molecular evolution, and bioinformatics. His statistical interests focus on stochastic computation. Among the applications are linkage disequilibrium mapping, stem cell evolution, and inference in the fossil record. Dr. Tavaré is also a professor in the Department of Oncology at the University of Cambridge, England, where his group concentrates on cancer genomics. Michael S. Waterman is a University Professor, a USC Associates Chair in Natural Sciences, and Professor of Biological Sciences, Computer Science, and Mathematics at the University of Southern California. A member of the National Academy of Sciences and the American Academy of Arts and Sciences, Professor Waterman is Founding Editor and Co-Editor in Chief of the Journal of Computational Biology. His research has focused on computational analysis of molecular sequence data. His best-known work is the co-development of the local alignment Smith-Waterman algorithm, which has become the foundational tool for database search methods. His interests have also encompassed physical mapping, as exemplified by the Lander-Waterman formulas, and genome sequence assembly using an Eulerian path method.

Keywords

Genetics --- Génétique --- Mathematical models --- Modèles mathématiques --- Mathematics. --- Genetics -- Mathematics. --- Genomics --- Sequence Analysis --- Genome --- Computational Biology --- Biology --- Genetic Structures --- Genetic Techniques --- Genetic Phenomena --- Biological Science Disciplines --- Investigative Techniques --- Phenomena and Processes --- Natural Science Disciplines --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Disciplines and Occupations --- Biology - General --- Health & Biological Sciences --- Mathematics --- Génétique --- Modèles mathématiques --- EPUB-LIV-FT LIVSTATI SPRINGER-B --- Computer science. --- Mathematical statistics. --- Bioinformatics. --- Biomathematics. --- Statistics. --- Computer Science. --- Computational Biology/Bioinformatics. --- Genetics and Population Dynamics. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Probability and Statistics in Computer Science. --- Embryology --- Mendel's law --- Adaptation (Biology) --- Breeding --- Chromosomes --- Heredity --- Mutation (Biology) --- Variation (Biology) --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Informatics --- Science --- Data processing --- Statistics . --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics)

An R and S-PLUS companion to multivariate analysis.
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ISBN: 9781852338824 1852338822 1846281245 Year: 2005 Publisher: London, England : Springer,

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Most data sets collected by researchers are multivariate, and in the majority of cases the variables need to be examined simultaneously to get the most informative results. This requires the use of one or other of the many methods of multivariate analysis, and the use of a suitable software package such as S-PLUS or R. In this book the core multivariate methodology is covered along with some basic theory for each method described. The necessary R and S-PLUS code is given for each analysis in the book, with any differences between the two highlighted. A website with all the datasets and code used in the book can be found at http://biostatistics.iop.kcl.ac.uk/publications/everitt/. Graduate students, and advanced undergraduates on applied statistics courses, especially those in the social sciences, will find this book invaluable in their work, and it will also be useful to researchers outside of statistics who need to deal with the complexities of multivariate data in their work. Brian Everitt is Emeritus Professor of Statistics, King’s College, London.

Resampling Methods : A Practical Guide to Data Analysis
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ISBN: 0817643869 081764444X 9780817643867 Year: 2006 Publisher: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser,

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"…the author has packaged an excellent and modern set of topics around the development and use of quantitative models.... If you need to learn about resampling, this book would be a good place to start." —Technometrics (Review of the Second Edition) This thoroughly revised and expanded third edition is a practical guide to data analysis using the bootstrap, cross-validation, and permutation tests. Only requiring minimal mathematics beyond algebra, the book provides a table-free introduction to data analysis utilizing numerous exercises, practical data sets, and freely available statistical shareware. Topics and Features * Practical presentation covers both the bootstrap and permutations along with the program code necessary to put them to work. * Includes a systematic guide to selecting the correct procedure for a particular application. * Detailed coverage of classification, estimation, experimental design, hypothesis testing, and modeling. * Suitable for both classroom use and individual self-study. New to the Third Edition * Procedures are grouped by application; a prefatory chapter guides readers to the appropriate reading matter. * Program listings and screen shots now accompany each resampling procedure: Whether one programs in C++, CART, Blossom, Box Sampler (an Excel add-in), EViews, MATLAB, R, Resampling Stats, SAS macros, S-PLUS, Stata, or StatXact, readers will find the program listings and screen shots needed to put each resampling procedure into practice. * To simplify programming, code for readers to download and apply is posted at http://www.springeronline.com/0-8176-4386-9. * Notation has been simplified and, where possible, eliminated. * A glossary and answers to selected exercises are included. With its accessible style and intuitive topic development, the book is an excellent basic resource for the power, simplicity, and versatility of resampling methods. It is an essential resource for statisticians, biostatisticians, statistical consultants, students, and research professionals in the biological, physical, and social sciences, engineering, and technology.

Bioinformatics and Computational Biology Solutions Using R and Bioconductor
Authors: --- --- --- ---
ISBN: 0387251464 9780387251462 9786610413409 1280413409 0387293620 Year: 2005 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Bioconductor is a widely used open source and open development software project for the analysis and comprehension of data arising from high-throughput experimentation in genomics and molecular biology. Bioconductor is rooted in the open source statistical computing environment R. This volume's coverage is broad and ranges across most of the key capabilities of the Bioconductor project, including importation and preprocessing of high-throughput data from microarray, proteomic, and flow cytometry platforms curation and delivery of biological metadata for use in statistical modeling and interpretation statistical analysis of high-throughput data, including machine learning and visualization, modeling and visualization of graphs and networks. The developers of the software, who are in many cases leading academic researchers, jointly authored chapters. All methods are illustrated with publicly available data, and a major section of the book is devoted to exposition of fully worked case studies. This book is more than a static collection of descriptive text, figures, and code examples that were run by the authors to produce the text; it is a dynamic document. Code underlying all of the computations that are shown is made available on a companion website, and readers can reproduce every number, figure, and table on their own computers. Robert Gentleman is Head of the Program in Computational Biology at the Fred Hutchinson Cancer Research Center in Seattle. He is one of the two authors of the original R system and a leading member of the R core team. Vincent Carey is Associate Professor of Medicine (Biostatistics), Channing Laboratory, Brigham and Women's Hospital, Harvard Medical School. Gentleman and Carey are co-founders of the Bioconductor project. Wolfgang Huber is Group Leader in the European Molecular Biology Laboratory at the European Bioinformatics Institute in Cambridge. He has made influential contributions to the error modeling of microarray data. Rafael Irizarry is Associate Professor of Biostatistics at the Johns Hopkins Bloomberg School of Public Health in Baltimore. He is co-developer of RMA and GCRMA, two of the most popular methodologies for preprocessing high-density oligonucleotide arrays. Sandrine Dudoit is Assistant Professor in the Department of Biostatistics at the University of California, Berkeley. She has made seminal discoveries in the fields of multiple testing and generalized cross-validation and spearheaded the deployment of these findings in applied genomic science.

Keywords

Biomathematics. Biometry. Biostatistics --- Mathematical statistics --- Bioinformatics. --- R (Computer program language) --- Bio-informatique --- R (Langage de programmation) --- Bioconductor (Computer file) --- Bioinformatics --- R (Computer program language). --- Models, Theoretical --- Statistics as Topic --- Software --- Biology --- Computing Methodologies --- Epidemiologic Methods --- Biological Science Disciplines --- Investigative Techniques --- Health Care Evaluation Mechanisms --- Quality of Health Care --- Natural Science Disciplines --- Information Science --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Public Health --- Health Care Quality, Access, and Evaluation --- Disciplines and Occupations --- Environment and Public Health --- Health Care --- Models, Statistical --- Programming Languages --- Computational Biology --- Health & Biological Sciences --- Biology - General --- EPUB-LIV-FT LIVSTATI SPRINGER-B --- GNU-S (Computer program language) --- Bio-informatics --- Biological informatics --- Computer science. --- Animal genetics. --- Statistics. --- Computer Science. --- Computational Biology/Bioinformatics. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Animal Genetics and Genomics. --- Information science --- Computational biology --- Systems biology --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Genetics --- Informatics --- Science --- Data processing --- Domain-specific programming languages --- Bioconductor (Computer file). --- Monograph --- Statistics . --- Computational biology. --- Genomics. --- Genetic Techniques. --- Genetic Techniques --- Models, statistical --- Probability

Time Series Analysis and Its Applications : with R Examples
Authors: ---
ISBN: 0387293175 9780387293172 0387362762 Year: 2006 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Time Series Analysis and Its Applications, Second Edition, presents a balanced and comprehensive treatment of both time and frequency domain methods with accompanying theory. Numerous examples using non-trivial data illustrate solutions to problems such as evaluating pain perception experiments using magnetic resonance imaging, monitoring a nuclear test ban treaty, evaluating the volatility of an asset, or finding a gene in a DNA sequence. The book is designed to be useful as a text for graduate level students in the physical, biological and social sciences and as a graduate level text in statistics. Some parts may also serve as an undergraduate introductory course. Material from the first edition of the text has been updated by adding examples and associated code based on the freeware R statistical package. As in the first edition, modern developments involving categorical time series analysis and the spectral envelope, multivariate spectral methods, long memory series, nonlinear models, longitudinal data analysis, resampling techniques, GARCH models, stochastic volatility models, wavelets, and Monte Carlo Markov chain integration methods are incorporated in the text. In this edition, the material has been divided into smaller chapters, and the coverage of financial time series, including GARCH and stochastic volatility models, has been expanded. These topics add to a classical coverage of time series regression, univariate and multivariate ARIMA models, spectral analysis and state-space models. R.H. Shumway is Professor of Statistics at the University of California, Davis. He is a Fellow of the American Statistical Association and a member of the International Statistical Institute. He won the 1986 American Statistical Association Award for Outstanding Statistical Application and the 1992 Communicable Diseases Center Statistics Award; both awards were for joint papers on time series applications. He is the author of a previous 1988 Prentice-Hall text on applied time series analysis. D.S. Stoffer is Professor of Statistics at the University of Pittsburgh. He has made seminal contributions to the analysis of categorical time series and won the 1989 American Statistical Association Award for Outstanding Statistical Application in a joint paper analyzing categorical time series arising in infant sleep-state cycling. He is currently a Departmental Editor for the Journal of Forecasting and Associate Editor of the Annals of the Institute of Statistical Mathematics. .

Keywords

Mathematical statistics --- Time-series analysis --- Série chronologique --- Série chronologique. --- Tijdreeksen. -- gtt. --- Time-series analysis. --- Toepassingen. -- gtt. --- Mathematical Statistics --- Mathematics --- Physical Sciences & Mathematics --- AA / International- internationaal --- 303.0 --- 304.0 --- 519.2 --- 304.5 --- 305.96 --- tijdreeksanalyse --- 519.246 --- Analysis of time series --- Autocorrelation (Statistics) --- Harmonic analysis --- Probabilities --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken). --- Zuivere statistische analyse (algemene naslagwerken). Tijdreeksen. --- Wiskundige statistiek --- Techniek van de statistische-econometrische voorspellingen. Prognose in de econometrie. --- Macro-economisch model van een of verschillende landen. --- Statistics of stochastic processes. Estimation of stochastic processes. Hypothesis testing. Statistics of point processes. Time series analysis. Auto-correlation. Regression --- Série chronologique. --- Tijdreeksen. --- Toepassingen. --- 519.246 Statistics of stochastic processes. Estimation of stochastic processes. Hypothesis testing. Statistics of point processes. Time series analysis. Auto-correlation. Regression --- Série chronologique --- EPUB-LIV-FT LIVSTATI SPRINGER-B --- Statistics. --- Statistical Theory and Methods. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken) --- Zuivere statistische analyse (algemene naslagwerken). Tijdreeksen --- Techniek van de statistische-econometrische voorspellingen. Prognose in de econometrie --- Macro-economisch model van een of verschillende landen --- Mathematical statistics. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Sampling (Statistics) --- Statistics . --- R (Computer program language). --- GNU-S (Computer program language) --- Domain-specific programming languages

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