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Academic Press

  • Strong Approximations in Probability and Statistics

    • 1st Edition
    • M. Csörgo + 1 more
    • Z. W. Birnbaum + 1 more
    • English
    Strong Approximations in Probability and Statistics presents strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and statistics. Chapter 1 evaluates the theorems for Wiener and Gaussian processes that can be extended to partial sums and empirical processes of IIDRV through strong approximation methods, while Chapter 2 addresses the problem of best possible strong approximations of partial sums of IIDRV by a Wiener process. Chapters 3 and 4 contain theorems concerning the one-time parameter Wiener process and strong approximation for the empirical and quantile processes based on IIDRV. Chapter 5 demonstrate the validity of previously discussed theorems, including Brownian bridges and Kiefer process, for empirical and quantile processes. Chapter 6 illustrate the approximation of defined sequences of empirical density, regression, and characteristic functions by appropriate Gaussian processes. Chapter 7 deal with the application of strong approximation methodology to study weak and strong convergence properties of random size partial sum and empirical processes. This book will prove useful to mathematicians and advance mathematics students.

  • Measure and Integral

    • 1st Edition
    • Konrad Jacobs
    • Z. W. Birnbaum + 1 more
    • English
    Probability and Mathematical Statistics: Measure and Integral provides information pertinent to the general mathematical notions and notations. This book discusses how the machinery of ?-extension works and how ?-content is derived from ?-measure. Organized into 16 chapters, this book begins with an overview of the classical Hahn–Banach theorem and introduces the Banach limits in the form of a major exercise. This text then presents the Daniell extension theory for positive ?-measures. Other chapters consider the transform of ?-contents and ?-measures by measurable mappings and kernels. This text is also devoted to a thorough study of the vector lattice of signed contents. This book discusses as well an abstract regularity theory and applied to the standard cases of compact, locally compact, and Polish spaces. The final chapter deals with the rudiments of the Krein–Milman theorem, along with some of their applications. This book is a valuable resource for graduate students.

  • Lattice Path Counting and Applications

    • 1st Edition
    • Gopal Mohanty
    • Z. W. Birnbaum + 1 more
    • English
    Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Lattice Path Counting and Applications focuses on the principles, methodologies, and approaches involved in lattice path counting and applications, including vector representation, random walks, and rank order statistics. The book first underscores the simple and general boundaries of path counting. Topics include types of diagonal steps and a correspondence, paths within general boundaries, higher dimensional paths, vector representation, compositions, and domination, recurrence and generating function method, and reflection principle. The text then examines invariance and fluctuation and random walk and rank order statistics. Discussions focus on random walks, rank order statistics, Chung-Feller theorems, and Sparre Andersen's equivalence. The manuscript takes a look at convolution identities and inverse relations and discrete distributions, queues, trees, and search codes, as well as discrete distributions and a correlated random walk, trees and search codes, convolution identities, and orthogonal relations and inversion formulas. The text is a valuable reference for mathematicians and researchers interested in in lattice path counting and applications.

  • Nonparametric Functional Estimation

    • 1st Edition
    • B. L. S. Prakasa Rao
    • Z. W. Birnbaum + 1 more
    • English
    Nonparametric Functional Estimation is a compendium of papers, written by experts, in the area of nonparametric functional estimation. This book attempts to be exhaustive in nature and is written both for specialists in the area as well as for students of statistics taking courses at the postgraduate level. The main emphasis throughout the book is on the discussion of several methods of estimation and on the study of their large sample properties. Chapters are devoted to topics on estimation of density and related functions, the application of density estimation to classification problems, and the different facets of estimation of distribution functions. Statisticians and students of statistics and engineering will find the text very useful.

  • Offshore Wind

    A Comprehensive Guide to Successful Offshore Wind Farm Installation
    • 2nd Edition
    • Kurt Thomsen
    • English
    Offshore Wind is the first-ever roadmap to successful offshore wind installation. It provides a ready reference for wind project managers, teaching them how to deal with complications on-site, as well as for financers, who can utilize the text as an easy guide to asking the pivotal questions of petitioning wind project developers. These developers' planning stages will be improved by the book's expert advice on how to avoid wasting money by scoping out and mitigating potential problems up-front. Wind turbine manufacturers will benefit from insights into design optimization to support cheaper installation and hauling, thereby incurring lower project costs, and helping developers establish a quicker route to profitability. The book sheds light not just on how to solve a particular installation difficulty, but delves into why the problem may best be solved in that way.

  • Writing Reaction Mechanisms in Organic Chemistry

    • 3rd Edition
    • Kenneth A. Savin
    • English
    Writing Reaction Mechanisms in Organic Chemistry, Third Edition, is a guide to understanding the movements of atoms and electrons in the reactions of organic molecules. Expanding on the successful book by Miller and Solomon, this new edition further enhances your understanding of reaction mechanisms in organic chemistry and shows that writing mechanisms is a practical method of applying knowledge of previously encountered reactions and reaction conditions to new reactions. The book has been extensively revised with new material including a completely new chapter on oxidation and reduction reactions including stereochemical reactions. It is also now illustrated with hundreds of colorful chemical structures to help you understand reaction processes more easily. The book also features new and extended problem sets and answers to help you understand the general principles and how to apply these to real applications. In addition, there are new information boxes throughout the text to provide useful background to reactions and the people behind the discovery of a reaction. This new edition will be of interest to students and research chemists who want to learn how to organize what may seem an overwhelming quantity of information into a set of simple general principles and guidelines for determining and describing organic reaction mechanisms.

  • Cloud Dynamics

    • 2nd Edition
    • Volume 104
    • Robert A. Houze Jr.
    • English
    As models of the Earth/atmosphere system and observations become ever more sophisticated, and concerns about climate change and societal impacts of extreme weather and its forecasting grow, understanding the role of clouds in the atmosphere is increasingly vital. Cloud Dynamics, Second Edition provides the essential information needed to understand how clouds affect climate and weather. This comprehensive book examines the underlying physics and dynamics of every specific type of cloud that occurs in the Earth's atmosphere, showing how clouds differ dynamically depending on whether they occur over oceans or mountains, or as parts of atmospheric storms, such as thunderstorms, tropical cyclones, or warm and cold fronts. Covering both the microphysical and macrophysical aspects of clouds, the book treats all of the physical scales involved in cloud processes, from the microscale of the individual drops and ice particles up to scales of storms in which the clouds occur. As observational technology advances with increasingly sophisticated remote sensing capabilities, detailed understanding of how the dynamics and physics of clouds affect the quantities being measured is of paramount importance. This book underpins the work necessary for proper interpretation of these observations, now and in the future.

  • Social Cognition and Metacognition in Schizophrenia

    Psychopathology and Treatment Approaches
    • 1st Edition
    • Paul Lysaker + 2 more
    • English
    Deficits in social cognition and metacognition in schizophrenics makes it difficult for them to understand the speech, facial expressions and hence emotion and intention of others, as well as allowing little insight into their own mental state. These deficits are associated with poor social skills, fewer social relationships, and are predictive of poorer performance in a work setting. Social Cognition and Metacognition in Schizophrenia reviews recent research advances focusing on the precise nature of these deficits, when and how they manifest themselves, what their effect is on the course of schizophrenia, and how each can be treated. These deficits may themselves be why schizophrenia is so difficult to resolve; by focusing on the deficits, recovery may be quicker and long lasting. This book discusses such deficits in early onset, first episode, and prolonged schizophrenia; how the deficits relate to each other and to other forms of psychopathology; how the deficits affect social, psychological, and vocational functioning; and how best to treat the deficits in either individual or group settings.

  • Up and Running with AutoCAD 2015

    2D and 3D Drawing and Modeling
    • 1st Edition
    • Elliot J. Gindis
    • English
    Get "Up and Running" with AutoCAD using Gindis’ combination of step-by-step instruction, examples, and insightful explanations. The emphasis from the beginning is on core concepts and practical application of AutoCAD in architecture, engineering, and design. Equally useful in instructor-led classroom training, self-study, or as a professional reference, the book is written with the user in mind by a long-time AutoCAD professional and instructor based on what works in the industry and the classroom.

  • Statistics of Directional Data

    • 1st Edition
    • K. V. Mardia
    • Z. W. Birnbaum + 1 more
    • English
    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.

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