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    • Fixed Effects Analysis of Variance

      • 1st Edition
      • July 3, 2014
      • Lloyd Fisher + 1 more
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 4 3 7
      • eBook
        9 7 8 1 4 8 3 2 1 7 8 6 4
      Fixed Effects Analysis of Variance covers the mathematical theory of the fixed effects analysis of variance. The book discusses the theoretical ideas and some applications of the analysis of variance. The text then describes topics such as the t-test; two-sample t-test; the k-sample comparison of means (one-way analysis of variance); the balanced two-way factorial design without interaction; estimation and factorial designs; and the Latin square. Confidence sets, simultaneous confidence intervals, and multiple comparisons; orthogonal and nonorthologonal designs; and multiple regression analysis and related matters are also encompassed. Mathematicians, statisticians, and students taking related courses will find the book useful.

    • Stochastic Convergence

      • 2nd Edition
      • July 3, 2014
      • Eugene Lukacs
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 1 5 1
      • eBook
        9 7 8 1 4 8 3 2 1 8 5 8 8
      Stochastic Convergence, Second Edition covers the theoretical aspects of random power series dealing with convergence problems. This edition contains eight chapters and starts with an introduction to the basic concepts of stochastic convergence. The succeeding chapters deal with infinite sequences of random variables and their convergences, as well as the consideration of certain sets of random variables as a space. These topics are followed by discussions of the infinite series of random variables, specifically the lemmas of Borel-Cantelli and the zero-one laws. Other chapters evaluate the power series whose coefficients are random variables, the stochastic integrals and derivatives, and the characteristics of the normal distribution of infinite sums of random variables. The last chapter discusses the characterization of the Wiener process and of stable processes. This book will prove useful to mathematicians and advance mathematics students.

    • Probability Theory

      • 1st Edition
      • July 3, 2014
      • L. E. Maistrov
      • Samuel Kotz
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 2 0 5
      • eBook
        9 7 8 1 4 8 3 2 1 8 6 3 2
      Probability Theory: A Historical Sketch covers the probability theory, mainly axiomatization problems. The book discusses the prehistory of the probability theory; the first stage in the development of probability theory; and the development of probability theory to the middle of the 19th century. The text also describes the probability theory in the second half of the 19th century; and the axiomatic foundations of the probability theory. Historians and mathematicians will find the book invaluable.

    • Classical and Modern Integration Theories

      • 1st Edition
      • July 3, 2014
      • Ivan N. Pesin
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 4 7 3 0
      • eBook
        9 7 8 1 4 8 3 2 6 8 6 9 9
      Classical and Modern Integration Theories discusses classical integration theory, particularly that part of the theory directly associated with the problems of area. The book reviews the history and the determination of primitive functions, beginning from Cauchy to Daniell. The text describes Cauchy's definition of an integral, Riemann's definition of the R-integral, the upper and lower Darboux integrals. The book also reviews the origin of the Lebesgue-Young integration theory, and Borel's postulates that define measures of sets. W.H. Young's work provides a construction of the integral equivalent to Lebesque's construction with a different generalization of integrals leading to different approaches in solutions. Young's investigations aim at generalizing the notion of length for arbitrary sets by means of a process which is more general than Borel's postulates. The text notes that the Lebesgue measure is the unique solution of the measure problem for the class of L-measurable sets. The book also describes further modifications made into the Lebesgue definition of the integral by Riesz, Pierpont, Denjoy, Borel, and Young. These modifications bring the Lebesgue definition of the integral closer to the Riemann or Darboux definitions, as well as to have it associated with the concepts of classical analysis. The book can benefit mathematicians, students, and professors in calculus or readers interested in the history of classical mathematics.

    • Statistics of Directional Data

      • 1st Edition
      • July 3, 2014
      • K. V. Mardia
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 2 3 6
      • eBook
        9 7 8 1 4 8 3 2 1 8 6 6 3
      Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Statistics of Directional Data aims to provide a systematic account of statistical theory and methodology for observations which are directions. The publication first elaborates on angular data and frequency distributions, descriptive measures, and basic concepts and theoretical models. Discussions focus on moments and measures of location and dispersion, distribution function, corrections for grouping, calculation of the mean direction and the circular variance, interrelations between different units of angular measurement, and diagrammatical representation. The book then examines fundamental theorems and distribution theory, point estimation, and tests for samples from von Mises populations. The text takes a look at non-parametric tests, distributions on spheres, and inference problems on the sphere. Topics include tests for axial data, point estimation, distribution theory, moments and limiting distributions, and tests of goodness of fit and tests of uniformity. The publication is a dependable reference for researchers interested in probability and mathematical statistics.

    • Probabilistic Programming

      • 1st Edition
      • July 3, 2014
      • S. Vajda
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 7 8 6 1
      • eBook
        9 7 8 1 4 8 3 2 6 8 3 7 8
      Probabilistic Programming discusses a high-level language known as probabilistic programming. This book consists of three chapters. Chapter I deals with “wait-and-see” problems that require waiting until an observation is made on the random elements, while Chapter II contains the analysis of decision problems, particularly of so-called two-stage problems. The last chapter focuses on “chance constraints,” such as constraints that are not expected to be always satisfied, but only in a proportion of cases or “with given probabilities.” This text specifically deliberates the decision regions for optimality, probability distributions, Kall's Theorem, and two-stage programming under uncertainty. The complete problem, active approach, quantile rules, randomized decisions, and nonzero order rules are also covered. This publication is suitable for developers aiming to define and automatically solve probability models.

    • Probability Measures on Metric Spaces

      • 1st Edition
      • July 3, 2014
      • K. R. Parthasarathy
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 1 1 8 2 4
      • eBook
        9 7 8 1 4 8 3 2 2 5 2 5 8
      Probability Measures on Metric Spaces presents the general theory of probability measures in abstract metric spaces. This book deals with complete separable metric groups, locally impact abelian groups, Hilbert spaces, and the spaces of continuous functions. Organized into seven chapters, this book begins with an overview of isomorphism theorem, which states that two Borel subsets of complete separable metric spaces are isomorphic if and only if they have the same cardinality. This text then deals with properties such as tightness, regularity, and perfectness of measures defined on metric spaces. Other chapters consider the arithmetic of probability distributions in topological groups. This book discusses as well the proofs of the classical extension theorems and existence of conditional and regular conditional probabilities in standard Borel spaces. The final chapter deals with the compactness criteria for sets of probability measures and their applications to testing statistical hypotheses. This book is a valuable resource for statisticians.

    • Biochemical Ecotoxicology

      • 1st Edition
      • July 2, 2014
      • Francois Gagne
      • English
      • Paperback
        9 7 8 0 1 2 8 1 0 1 1 8 6
      • Hardback
        9 7 8 0 1 2 4 1 1 6 0 4 7
      • eBook
        9 7 8 0 1 2 4 1 1 6 2 3 8
      Biochemical Ecotoxicology: Principles and Methods presents practical approaches to biochemical ecotoxicology experiments for environmental protection and conservation. With its methodical, stepped approach this essential reference introduces readers to current techniques for toxicity endpoint testing, suitable for laboratories of any size and budget. Each chapter presents a state-of-the-art principle, a quick and inexpensive procedure (including appropriate reagents), case studies, and demonstrations on how to analyze your results. Generic techniques are covered, suitable for a variety of organisms, as well as high-throughput techniques like quantitative polymerase chain reactions and enzyme-linked immunoassays. Cutting-edge approaches, including gPCR arrays and lipidomic techniques, are also included, making this is an essential reference for anyone who needs to assess environmental toxicity.

    • Stability of Happiness

      • 1st Edition
      • July 2, 2014
      • Kennon M Sheldon + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 0 2 4 9 7
      • Hardback
        9 7 8 0 1 2 4 1 1 4 7 8 4
      • eBook
        9 7 8 0 1 2 4 1 0 5 3 8 6
      The right to "pursue happiness" is one of the dominant themes of western culture, and understanding the causes of happiness is one of the primary goals of the positive psychology movement. However, before the causality question can even be considered, a more basic question must be addressed: CAN happiness change? Reasons for skepticism include the notion of a "genetic set point" for happiness, i.e. a stable personal baseline of happiness to which individuals will always return, no matter how much their lives change for the better; the life-span stability of happiness-related traits such as neuroticism and extraversion; and the powerful processes of hedonic adaptation, which erode the positive effects of any fortuitous life change. This book investigates prominent theories on happiness with the research evidence to discuss when and how happiness changes and for how long.

    • Milk Proteins

      • 2nd Edition
      • July 2, 2014
      • Mike Boland + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 0 0 4 4 8
      • Hardback
        9 7 8 0 1 2 4 0 5 1 7 1 3
      • eBook
        9 7 8 0 1 2 4 0 5 1 7 5 1
      Understanding of the interactions of milk proteins in complex food systems continues to progress, resulting in specialized milk-protein based applications in functional foods, and in protein ingredients for specific health applications. Milk Proteins is the first and only presentation of the entire dairy food chain – from the source to the nutritional aspects affecting the consumer. With focus on the molecular structures and interactions of milk proteins in various processing methods, Milk Proteins presents a comprehensive overview of the biology and chemistry of milk, as well as featuring the latest science and developments. Significant insight into the use of milk proteins from an industry viewpoint provides valuable application-based information. Those working with food and nutritional research and product development will find this book useful.

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