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    • Lattice Path Counting and Applications

      • 1st Edition
      • July 10, 2014
      • Gopal Mohanty
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 3 7 3
      • eBook
        9 7 8 1 4 8 3 2 1 8 8 0 9
      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
      • July 10, 2014
      • B. L. S. Prakasa Rao
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 4 9 4 5
      • eBook
        9 7 8 1 4 8 3 2 6 9 2 3 8
      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.

    • Multivariate Statistical Inference

      • 1st Edition
      • July 10, 2014
      • Narayan C. Giri
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 9 4 5 3
      • eBook
        9 7 8 1 4 8 3 2 6 3 3 3 5
      Multivariate Statistical Inference is a 10-chapter text that covers the theoretical and applied aspects of multivariate analysis, specifically the multivariate normal distribution using the invariance approach. Chapter I contains some special results regarding characteristic roots and vectors, and partitioned submatrices of real and complex matrices, as well as some special theorems on real and complex matrices useful in multivariate analysis. Chapter II deals with the theory of groups and related results that are useful for the development of invariant statistical test procedures, including the Jacobians of some specific transformations that are useful for deriving multivariate sampling distributions. Chapter III is devoted to basic notions of multivariate distributions and the principle of invariance in statistical testing of hypotheses. Chapters IV and V deal with the study of the real multivariate normal distribution through the probability density function and through a simple characterization and the maximum likelihood estimators of the parameters of the multivariate normal distribution and their optimum properties. Chapter VI tackles a systematic derivation of basic multivariate sampling distributions for the real case, while Chapter VII explores the tests and confidence regions of mean vectors of multivariate normal populations with known and unknown covariance matrices and their optimum properties. Chapter VIII is devoted to a systematic derivation of tests concerning covariance matrices and mean vectors of multivariate normal populations and to the study of their optimum properties. Chapters IX and X look into a treatment of discriminant analysis and the different covariance models and their analysis for the multivariate normal distribution. These chapters also deal with the principal components, factor models, canonical correlations, and time series. This book will prove useful to statisticians, mathematicians, and advance mathematics students.

    • Cloud Dynamics

      • 2nd Edition
      • Volume 104
      • July 8, 2014
      • Robert A. Houze Jr.
      • English
      • Hardback
        9 7 8 0 1 2 3 7 4 2 6 6 7
      • eBook
        9 7 8 0 0 8 0 9 2 1 4 6 4
      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.

    • Up and Running with AutoCAD 2015

      • 1st Edition
      • July 4, 2014
      • Elliot J. Gindis
      • English
      • Paperback
        9 7 8 0 1 2 8 0 0 9 5 4 3
      • eBook
        9 7 8 0 1 2 8 0 1 1 8 8 1
      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.

    • Social Cognition and Metacognition in Schizophrenia

      • 1st Edition
      • July 4, 2014
      • Paul Lysaker + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 0 2 7 1 8
      • Hardback
        9 7 8 0 1 2 4 0 5 1 7 2 0
      • eBook
        9 7 8 0 1 2 4 0 5 1 7 4 4
      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.

    • Real Analysis and Probability

      • 1st Edition
      • July 3, 2014
      • Robert B. Ash
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 7 5 6 1 4
      • eBook
        9 7 8 1 4 8 3 1 9 1 4 2 3
      Real Analysis and Probability provides the background in real analysis needed for the study of probability. Topics covered range from measure and integration theory to functional analysis and basic concepts of probability. The interplay between measure theory and topology is also discussed, along with conditional probability and expectation, the central limit theorem, and strong laws of large numbers with respect to martingale theory. Comprised of eight chapters, this volume begins with an overview of the basic concepts of the theory of measure and integration, followed by a presentation of various applications of the basic integration theory. The reader is then introduced to functional analysis, with emphasis on structures that can be defined on vector spaces. Subsequent chapters focus on the connection between measure theory and topology; basic concepts of probability; and conditional probability and expectation. Strong laws of large numbers are also examined, first from the classical viewpoint, and then via martingale theory. The final chapter is devoted to the one-dimensional central limit problem, paying particular attention to the fundamental role of Prokhorov's weak compactness theorem. This book is intended primarily for students taking a graduate course in probability.

    • Fourier Transforms of Distributions and Their Inverses

      • 1st Edition
      • July 3, 2014
      • Fritz Oberhettinger
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 5 9 5
      • eBook
        9 7 8 1 4 8 3 2 1 9 0 2 8
      Fourier Transforms of Distributions and Their Inverses: A Collection of Tables is a collection of tables on the integrals of Fourier transforms of distributions and their inverses involving the class of functions which are nonnegative and integrable over the interval. The emphasis is on the probability densities, and a number of examples are provided. This book is organized into two parts and begins with an introduction to those properties of characteristic functions which are important in probability theory, followed by a description of the tables and their use. The first three tables contain Fourier transforms of absolutely continuous distribution functions, namely, even functions (including Legendre functions); functions vanishing identically for negative values of the argument (including arbitrary powers); and functions that do not belong to either of the above classes. The transform pairs are numbered consecutively and arranged systematically according to the analytical character of the frequency function. The next two tables give the inverse transforms of the functions listed in the first and third tables, respectively. This monograph will appeal to students and specialists in the fields of probability and mathematical statistics.

    • Probability Algebras and Stochastic Spaces

      • 1st Edition
      • July 3, 2014
      • Demetrios A. Kappos
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 0 7 6
      • eBook
        9 7 8 1 4 8 3 2 1 8 5 0 2
      Probability Algebras and Stochastic Spaces explores the fundamental notions of probability theory in the so-called “point-free” way. The space of all elementary random variables defined over a probability algebra in a “point-free” way is a base for the stochastic space of all random variables, which can be obtained from it by lattice-theoretic extension processes. This book is composed of eight chapters and begins with discussions of the definition, properties, scope, and extension of probability algebras. The succeeding chapters deal with the Cartesian product of probability algebras and the principles of stochastic spaces. These topics are followed by surveys of the expectation, moments, and spaces of random variables. The final chapters define generalized random variables and the Boolean homomorphisms of these variables. This book will be of great value to mathematicians and advance mathematics students.

    • 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.

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