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  • Markov Models & Optimization

    par M.H.A. Davis ...
    Collections series Chapman & Hall/CRC Monographs on Statistics and Applied Probability
    This book presents a radically new approach to problems of evaluating and optimizing the performance of continuous-time stochastic systems. This approach is based on the use of a family of Markov processes called Piecewise-Deterministic Processes (PDPs) as a general class of stochastic system models. A PDP is a Markov process that follows deterministic trajectories between random jumps, the latter ... En savoir plus

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  • A Modern Theory of Random Variation

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    A ground-breaking and practical treatment of probability and stochastic processesA Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the ... En savoir plus

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  • Convergence of Probability Measures

    Collections series Wiley Series in Probability and Statistics
    A new look at weak-convergence methods in metric spaces-from a master of probability theory In this new edition, Patrick Billingsley updates his classic work Convergence of Probability Measures to reflect developments of the past thirty years. Widely known for his straightforward approach and reader-friendly style, Dr. Billingsley presents a clear, precise, up-to-date account of probability limit ... En savoir plus

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  • Information Theory

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  • Basic Math for Social Scientists

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    Collections series Quantitative Applications in the Social Sciences
    Taking an informal approach, Hagle presents a review of the basic mathematical concepts that underlie most quantitative analysis in the social sciences. After an algebra review featuring sets and combinations, Hagle discusses limits and continuity. Calculus is presented next, with an introduction to differential calculus. Multivariate functions, partial derivatives and integral calculus are ... En savoir plus

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  • Introduction to Probability and Statistics

    par Giri ...
    Collections series Statistics: A Series of Textbooks and Monographs
    Beginning with the historical background of probability theory, this thoroughly revised text examines all important aspects of mathematical probability - including random variables, probability distributions, characteristic and generating functions, stochatic convergence, and limit theorems - and provides an introduction to various types of statistical problems, covering the broad range of ... En savoir plus

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  • Fundamentals of Advanced Mathematics 1

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    This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general ... En savoir plus

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  • Homological and Computational Methods in Commutative Algebra

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    Collections series Information and Learning Sciences
    The ebook edition of this title is Open Access and freely available to read online.Complex cognitive systems, such as social networks, robotic swarms, or biological networks, are composed of individual entities (the agents) whose actions typically arise from some sophisticated form of “social” interaction with other agents. For example, consider the way humans form their individual opinions about ... En savoir plus

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  • Theory of Stochastic Objects

    Probability, Stochastic Processes and Inference

    Collections series Chapman & Hall/CRC Texts in Statistical Science
    This book defines and investigates the concept of a random object. To accomplish this task in a natural way, it brings together three major areas; statistical inference, measure-theoretic probability theory and stochastic processes. This point of view has not been explored by existing textbooks; one would need material on real analysis, measure and probability theory, as well as stochastic ... En savoir plus

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