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1781 births ab 47.99 € als Taschenbuch: George Stephenson Anton Diabelli René Laennec Siméon Denis Poisson David Brewster Eugène de Beauharnais Stamford Raffles Rebecca Gratz Lucy Aikin Robert Lusk Swaminarayan Robert Smirke William Westall Bernard Bolzano. Aus dem Bereich: Bücher, Taschenbücher, Geist & Wissen,

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1840 deaths ab 47.99 € als Taschenbuch: Niccolò Paganini Caspar David Friedrich Siméon Denis Poisson Frances Burney Lucien Bonaparte Pierre-Joseph Redouté John Fowler Joseph Jacotot William Garrow José María Narváez Constantine Samuel Rafinesque Sidney Smith. Aus dem Bereich: Bücher, Taschenbücher, Geist & Wissen,

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Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results. In this third edition, the dramatic change of focus of extreme value theory has been taken into account: from concentrating on maxima of observations it has shifted to large observations, defined as exceedances over high thresholds. One emphasis of the present third edition lies on multivariate generalized Pareto distributions, their representations, properties such as their peaks-over-threshold stability, simulation, testing and estimation.Reviews of the 2nd edition:"In brief, it is clear that this will surely be a valuable resource for anyone involved in, or seeking to master, the more mathematical features of this field."David Stirzaker, Bulletin of the London Mathematical Society"Laws of Small Numbers can be highly recommended to everyone who is looking for a smooth introduction to Poisson approximations in EVT and other fields of probability theory and statistics. In particular, it offers an interesting view on multivariate EVT and on EVT for non-iid observations, which is not presented in a similar way in any other textbook."Holger Drees, Metrika

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Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results. In this third edition, the dramatic change of focus of extreme value theory has been taken into account: from concentrating on maxima of observations it has shifted to large observations, defined as exceedances over high thresholds. One emphasis of the present third edition lies on multivariate generalized Pareto distributions, their representations, properties such as their peaks-over-threshold stability, simulation, testing and estimation. Reviews of the 2nd edition: 'In brief, it is clear that this will surely be a valuable resource for anyone involved in, or seeking to master, the more mathematical features of this field.' David Stirzaker, Bulletin of the London Mathematical Society 'Laws of Small Numbers can be highly recommended to everyone who is looking for a smooth introduction to Poisson approximations in EVT and other fields of probability theory and statistics. In particular, it offers an interesting view on multivariate EVT and on EVT for non-iid observations, which is not presented in a similar way in any other textbook.' Holger Drees, Metrika

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Stability is a very important property of mathematical models simulating physical processes which provides an adequate description of the process. Starting from the classical notion of the well-posedness in the Hadamard sense, this notion was adapted to different areas of research and at present is understood, depending on the physical problem under consideration, as the Lyapunov stability of stationary solutions, stability of specified initial data, stability of averaged models, etc. The stability property is of great interest for researchers in many fields such as mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, fluid mechanics, etc. etc. The variety of recent results, surveys, methods and approaches to different models presented by leading world-known mathematicians, makes both volumes devoted to the stability and instability of mathematical models in fluid mechanics very attractive for provisional buyers/readers working in the above mentioned and related areas. TOC:Justifying Asymptotics for 3D Water-Waves, David Lannes.- Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients, Evgenii Panov.- Irreducible Chapman-Enskog Projections and Navier-Stokes Approximations, Evgenii Radkevich.- Exponential Mixing for Randomly Forced Partial Differential Equations: Method of Coupling, Armen Shirikyan.- On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid, Vsevolod Solonnikov.- Weak Spatially Nondecaying Solutions of 3D Navier-Stokes Equations in Cylindrical Domains, Sergey Zelik.- On Global in Time Properties of the Symmetric Compressible Barotropic Navier-Stokes-Poisson Flows in a Vacuum, Alexander Zlotnik.

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Frederick Mosteller has inspired numerous statisticians and other scientists by his creative approach to statistics and its applications. This volume brings together 40 of his most original and influential papers, capturing the variety and depth of his writings. The editors hope to share these with a new generation of researchers, so that they can build upon his insights and efforts. This volume of selected papers is a companion to the earlier volume A Statistical Model: Frederick Mosteller's Contributions to Statistics, Science, and Public Policy, edited by Stephen E. Fienberg, David C. Hoaglin, William H. Kruskal, and Judith M. Tanur (Springer-Verlag, 1990), and to Mosteller's forthcoming autobiography, which will also be published by Springer-Verlag. It includes a biography and a comprehensive bibliography of Mosteller's books, papers, and other writings. Stephen E. Fienberg is Maurice Falk University Professor of Statistics and Social Science, in the Departments of Statistics and Machine Learning at Carnegie Mellon University, Pittsburgh, PA. David C. Hoaglin is Principal Scientist at Abt Associates Inc., Cambridge, MA. TOC:From the contents Unbiased Estimates For Certain Binomial Sampling Problems with Applications.- on Some Useful 'Inefficient' Statistics, Frederick Mosteller.- A K-Sample Slippage Test for an Extreme Population.- The Uses and Usefulness of Binomial Probability Paper.- The Education of A Scientific Generalist.- Remarks on The Method of Paired Comparisons: I. The Least Squares Solution Assuming Equal Standard Deviations and Equal Correlations.- Remarks on The Method of Paired Comparisons: II. The Effect of an Aberrant Standard Deviation when Equal Standard Deviations And Equal Correlations are Assumed.- Remarks on The Method of Paired Comparisons: III. A Test of Significance for Paired Comparisons when Equal Standard Deviations and Equal Correlations are Assumed.- An Experimental Measurement of Utility.- A Mathematical Model for Simple Learning.- A Model for Stimulus Generalization and Discrimination.- The World Series Competition.- Principles of Sampling.- Stochastic Models for The Learning Process.- Factorial 1/2: A Simple Graphical Treatment.- A Comparison of Eight Models.- Optimal Length of Play for A Binomial Game.- Tables of The Freeman-Tukey Transformations for the Binomial and Poisson Distributions.- Understanding The Birthday Problem.- Recognizing The Maximum of A Sequence.- The Distribution of Sums of Rounded Percentages.- The Expected Coverage to the Left of the ith Order Statistic for Arbitrary Distributions.

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Peter Goos, Department of Statistics, University of Leuven, Faculty of Bio-Science Engineering and University of Antwerp, Faculty of Applied Economics, Belgium David Meintrup, Department of Mathematics and Statistics, University of Applied Sciences Ingolstadt, Faculty of Mechanical Engineering, Germany Thorough presentation of introductory statistics and probability theory, with numerous examples and applications using JMP JMP: Graphs, Descriptive Statistics and Probability provides an accessible and thorough overview of the most important descriptive statistics for nominal, ordinal and quantitative data with particular attention to graphical representations. The authors distinguish their approach from many modern textbooks on descriptive statistics and probability theory by offering a combination of theoretical and mathematical depth, and clear and detailed explanations of concepts. Throughout the book, the user-friendly, interactive statistical software package JMP is used for calculations, the computation of probabilities and the creation of figures. The examples are explained in detail, and accompanied by step-by-step instructions and screenshots. The reader will therefore develop an understanding of both the statistical theory and its applications. Traditional graphs such as needle charts, histograms and pie charts are included, as well as the more modern mosaic plots, bubble plots and heat maps. The authors discuss probability theory, particularly discrete probability distributions and continuous probability densities, including the binomial and Poisson distributions, and the exponential, normal and lognormal densities. They use numerous examples throughout to illustrate these distributions and densities. Key features: * Introduces each concept with practical examples and demonstrations in JMP. * Provides the statistical theory including detailed mathematical derivations. * Presents illustrative examples in each chapter accompanied by step-by-step instructions and screenshots to help develop the reader's understanding of both the statistical theory and its applications. * A supporting website with data sets and other teaching materials. This book is equally aimed at students in engineering, economics and natural sciences who take classes in statistics as well as at masters/advanced students in applied statistics and probability theory. For teachers of applied statistics, this book provides a rich resource of course material, examples and applications.

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