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Distribution (Probability theory)

Most popular at the top

  • Infinite Divisibility of Probability Distributions on the Real Lineby Fred W. Steutel; Klaas van Harn

    Marcel Dekker Inc 2003; US$ 239.95

    Reassessing classical theory and presenting new developments, this text is a definitive, example-filled text focused on divisibility with respect to convolution and addition of independent random variables. more...

  • Testing for Normalityby Henry Thode

    Marcel Dekker Inc 2002; US$ 179.95

    This work describes the selection, design, theory, and application of tests for normality. It covers robust estimation, test power, and univariate and multivariate normality. It contains tests for multivariate normality and coordinate-dependent and invariant approaches. more...

  • Finite Mixture Modelsby Geoffrey McLachlan; David Peel

    John Wiley & Sons, Inc. 2004; US$ 175.00

    An up-to-date, comprehensive account of major issues in finite mixture modeling This volume provides an up-to-date account of the theory and applications of modeling via finite mixture distributions. With an emphasis on the applications of mixture models in both mainstream analysis and other areas such as unsupervised pattern recognition, speech recognition, and medical imaging, the book describes the formulations of the finite mixture approach, details its methodology, discusses aspects of its implementation, and illustrates its application in many common statistical contexts. Major issues discussed in this book include identifiability problems, actual fitting of finite mixtures through use of the EM algorithm, properties of the maximum likelihood... more...

  • A Primer on Statistical Distributionsby N. Balakrishnan; V. B. Nevzorov

    John Wiley & Sons, Inc. 2004; US$ 150.00

    Designed as an introduction to statistical distribution theory. * Includes a first chapter on basic notations and definitions that are essential to working with distributions. * Remaining chapters are divided into three parts: Discrete Distributions, Continuous Distributions, and Multivariate Distributions. * Exercises are incorporated throughout the text in order to enhance understanding of materials just taught. more...

  • Continuous Multivariate Distributionsby Samuel Kotz; N. Balakrishnan; Norman L. Johnson

    John Wiley & Sons, Inc. 2004; US$ 205.00

    Continuous Multivariate Distributions, Volume 1, Second Edition provides a remarkably comprehensive, self-contained resource for this critical statistical area. It covers all significant advances that have occurred in the field over the past quarter century in the theory, methodology, inferential procedures, computational and simulational aspects, and applications of continuous multivariate distributions. In-depth coverage includes MV systems of distributions, MV normal, MV exponential, MV extreme value, MV beta, MV gamma, MV logistic, MV Liouville, and MV Pareto distributions, as well as MV natural exponential families, which have grown immensely since the 1970s. Each distribution is presented in its own chapter along with descriptions of... more...

  • Information Theory And The Central Limit Theoremby Oliver Johnson

    World Scientific 2004; US$ 80.60

    This book provides a comprehensive description of a new method of proving the central limit theorem, through the use of apparently unrelated results from information theory. It gives a basic introduction to the concepts of entropy and Fisher information, and collects together standard results concerning their behaviour. It brings together results from a number of research papers as well as unpublished material, showing how the techniques can give a unified view of limit theorems. more...

  • Large Deviations and Metastabilityby Enzo Olivieri; Maria Eulália Vares; G.-C. Rota; B. Doran; M. Ismail; T. Y. Lam; E. Wutwak; P. Flajolet; E. Lutwak

    Cambridge University Press 2005; US$ 190.00

    The book provides a general introduction to the theory of large deviations and a wide overview of the metastable behaviour of stochastic dynamics. Written to be accessible to graduate students, this book provides an excellent route into contemporary research. more...

  • A Theory of Distributed Objectsby Denis Caromel; Ludovic Henrio

    Springer 2005; US$ 129.00

    This title is a detailed presentation of a calculus for distributed objects interacting using asynchronous method calls with generalized futures. The authors provide generic results on expressiveness and determinism. They also offer an extensive review of concurrent languages and calculi, with comprehensive figures and summaries. more...

  • An Introduction To Stein's Methodby A. D. Barbour

    World Scientific 2005; US$ 67.60

    A common theme in probability theory is the approximation of complicated probability distributions by simpler ones, the central limit theorem being a classical example. Stein's method is a tool which makes this possible in a wide variety of situations. Traditional approaches, for example using Fourier analysis, become awkward to carry through in situations in which dependence plays an important part, whereas Stein's method can often still be applied to great effect. In addition, the method delivers estimates for the error in the approximation, and not just a proof of convergence. Nor is there in principle any restriction on the distribution to be approximated; it can equally well be normal, or Poisson, or that of the whole path of a random... more...

  • Stein's Method And Applicationsby A. D. Barbour; Louis Chen

    World Scientific 2005; US$ 75.40

    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 in the collection include applications to the study of random binary search trees, Brownian motion on manifolds, Monte-Carlo integration, Edgeworth expansions,... more...