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    • Sequential Statistical Procedures

      • 1st Edition
      • June 20, 2014
      • Z. Govindarajulu
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 9 6 9 9
      • eBook
        9 7 8 1 4 8 3 2 6 3 3 2 8
      Probability and Mathematical Statistics, Volume 26: Sequential Statistical Procedures provides information pertinent to the sequential procedures that are concerned with statistical analysis of data. This book discusses the fundamental aspects of sequential estimation. Organized into four chapters, this volume begins with an overview of the essential feature of sequential procedure. This text then examines the sequential probability ratio test procedure and provides a method of constructing a most powerful test for a simple hypothesis versus simple alternative-testing problem. Other chapters consider the problem of testing a composite hypothesis against a composite alternative. This book discusses as well the theory of sequential tests that is appropriate for distinguishing between two simple or composite hypotheses. The final chapter deals with the theory of sequential estimation. This book is a valuable resource for graduate students, research workers, and users of sequential procedures.

    • Computability Theory

      • 1st Edition
      • June 20, 2014
      • Neil D. Jones
      • Robert L. Ashenhurst
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 0 5 2
      • eBook
        9 7 8 1 4 8 3 2 1 8 4 8 9
      Computability Theory: An Introduction provides information pertinent to the major concepts, constructions, and theorems of the elementary theory of computability of recursive functions. This book provides mathematical evidence for the validity of the Church–Turing thesis. Organized into six chapters, this book begins with an overview of the concept of effective process so that a clear understanding of the effective computability of partial and total functions is obtained. This text then introduces a formal development of the equivalence of Turing machine computability, enumerability, and decidability with other formulations. Other chapters consider the formulas of the predicate calculus, systems of recursion equations, and Post's production systems. This book discusses as well the fundamental properties of the partial recursive functions and the recursively enumerable sets. The final chapter deals with different formulations of the basic ideas of computability that are equivalent to Turing-computability... This book is a valuable resource for undergraduate or graduate students.

    • Stochastic Integrals

      • 1st Edition
      • June 20, 2014
      • H. P. McKean
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 3 7 9 4
      • eBook
        9 7 8 1 4 8 3 2 5 9 2 3 9
      Stochastic Integrals discusses one area of diffusion processes: the differential and integral calculus based upon the Brownian motion. The book reviews Gaussian families, construction of the Brownian motion, the simplest properties of the Brownian motion, Martingale inequality, and the law of the iterated logarithm. It also discusses the definition of the stochastic integral by Wiener and by Ito, the simplest properties of the stochastic integral according to Ito, and the solution of the simplest stochastic differential equation. The book explains diffusion, Lamperti's method, forward equation, Feller's test for the explosions, Cameron-Martin's formula, the Brownian local time, and the solution of dx=e(x) db + f(x) dt for coefficients with bounded slope. It also tackles Weyl's lemma, diffusions on a manifold, Hasminski's test for explosions, covering Brownian motions, Brownian motions on a Lie group, and Brownian motion of symmetric matrices. The book gives as example of a diffusion on a manifold with boundary the Brownian motion with oblique reflection on the closed unit disk of R squared. The text is suitable for economists, scientists, or researchers involved in probabilistic models and applied mathematics.

    • Communicating Pictures

      • 1st Edition
      • June 20, 2014
      • David Bull
      • English
      • Paperback
        9 7 8 0 0 8 1 0 1 3 1 4 4
      • Hardback
        9 7 8 0 1 2 4 0 5 9 0 6 1
      • eBook
        9 7 8 0 0 8 0 9 9 3 7 4 4
      Communicating Pictures starts with a unique historical perspective of the role of images in communications and then builds on this to explain the applications and requirements of a modern video coding system. It draws on the author's extensive academic and professional experience of signal processing and video coding to deliver a text that is algorithmically rigorous, yet accessible, relevant to modern standards, and practical. It offers a thorough grounding in visual perception, and demonstrates how modern image and video compression methods can be designed in order to meet the rate-quality performance levels demanded by today's applications, networks and users.With this book you will learn: Practical issues when implementing a codec, such as picture boundary extension and complexity reduction, with particular emphasis on efficient algorithms for transforms, motion estimators and error resilience Conflicts between conventional video compression, based on variable length coding and spatiotemporal prediction, and the requirements for error resilient transmission How to assess the quality of coded images and video content, both through subjective trials and by using perceptually optimised objective metrics Features, operation and performance of the state-of-the-art High Efficiency Video Coding (HEVC) standard

    • Decomposability

      • 1st Edition
      • June 20, 2014
      • P. J. Courtois
      • Robert L. Ashenhurst
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 1 5 4
      • eBook
        9 7 8 1 4 8 3 2 1 7 5 8 1
      Decomposability: Queueing and Computer System Applications presents a set of powerful methods for systems analysis. This 10-chapter text covers the theory of nearly completely decomposable systems upon which specific analytic methods are based. The first chapters deal with some of the basic elements of a theory of nearly completely decomposable stochastic matrices, including the Simon-Ando theorems and the perturbation theory. The succeeding chapters are devoted to the analysis of stochastic queuing networks that appear as a type of key model. These chapters also discuss congestion problems in information processing systems, which could be studied by the queuing network models. A method of analysis by decomposition and aggregation for these models is proposed. Other chapters highlight the problem of computer system performance evaluation, specifically the analysis of hardware and software of the dynamic behavior of computer systems and user programs. These topics are followed by a description of an aggregative model of a typical multiprogramming time-sharing computer system. The last chapter examines the existing affinity between the concept of aggregate in nearly completely decomposable structures and the notions of module and level of abstraction so frequently invoked in computer system design and software engineering. This book will prove useful to both hardware and software designers and engineers, as well as scientists who are investigating complex systems.

    • The Laws of Large Numbers

      • 1st Edition
      • June 20, 2014
      • Pál Révész
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 3 8 0 0
      • eBook
        9 7 8 1 4 8 3 2 6 9 0 2 3
      The Law of Large Numbers deals with three types of law of large numbers according to the following convergences: stochastic, mean, and convergence with probability 1. The book also investigates the rate of convergence and the laws of the iterated logarithm. It reviews measure theory, probability theory, stochastic processes, ergodic theory, orthogonal series, Huber spaces, Banach spaces, as well as the special concepts and general theorems of the laws of large numbers. The text discusses the laws of large numbers of different classes of stochastic processes, such as independent random variables, orthogonal random variables, stationary sequences, symmetrically dependent random variables and their generalizations, and also Markov chains. It presents other laws of large numbers for subsequences of sequences of random variables, including some general laws of large numbers which are not related to any concrete class of stochastic processes. The text cites applications of the theorems, as in numbers theory, statistics, and information theory. The text is suitable for mathematicians, economists, scientists, statisticians, or researchers involved with the probability and relative frequency of large numbers.

    • Stochastic Differential Equations and Applications

      • 1st Edition
      • June 20, 2014
      • Avner Friedman
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 4 5 1
      • eBook
        9 7 8 1 4 8 3 2 1 7 8 8 8
      Stochastic Differential Equations and Applications, Volume 2 is an eight-chapter text that focuses on the practical aspects of stochastic differential equations. This volume begins with a presentation of the auxiliary results in partial differential equations that are needed in the sequel. The succeeding chapters describe the behavior of the sample paths of solutions of stochastic differential equations. These topics are followed by a consideration of an issue whether the paths can hit a given set with positive probability, as well as the stability of paths about a given manifold and with spiraling of paths about this manifold. Other chapters deal with the applications to partial equations, specifically with the Dirichlet problem for degenerate elliptic equations. These chapters also explore the questions of singular perturbations and the existence of fundamental solutions for degenerate parabolic equations. The final chapters discuss stopping time problems, stochastic games, and stochastic differential games. This book is intended primarily to undergraduate and graduate mathematics students.

    • Decomposition of Multivariate Probabilities

      • 1st Edition
      • June 20, 2014
      • Roger Cuppens
      • Z. W. Birnbaum + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 2 1 5
      • eBook
        9 7 8 1 4 8 3 2 1 7 6 4 2
      Decomposition of Multivariate Probability is a nine-chapter text that focuses on the problem of multivariate characteristic functions. After a brief introduction to some useful results on measures and integrals, this book goes on dealing with the classical theory and the Fourier-Stieltjes transforms of signed measures. The succeeding chapters explore the multivariate extension of the well-known Paley-Wiener theorem on functions that are entire of exponential type and square-integrable; the theory of infinitely divisible probabilities and the classical results of Hin?in; and the decompositions of analytic characteristic functions. Other chapters are devoted to the important problem of the description of a specific class on n-variate probabilities without indecomposable factors. The final chapter studies the problem of ?-decomposition of multivariate characteristic functions. This book will prove useful to mathematicians and advance undergraduate and graduate students.

    • Decision Table Languages and Systems

      • 1st Edition
      • June 20, 2014
      • John R. Metzner + 1 more
      • Robert L. Ashenhurst
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 5 3 6 6
      • eBook
        9 7 8 1 4 8 3 2 1 8 7 9 3
      ACM Monograph Series: Decision Table Languages and Systems focuses on linguistic examination of decision tables and survey of the features of existing decision table languages and systems. The book first offers information on semiotics, programming language features, and generalization. Discussions focus on semantic broadening, outer language enrichments, generalization of syntax, limitations, implementation improvements, syntactic and semantic features, decision table syntax, semantics of decision table languages, and decision table programming languages. The text then elaborates on design implications, decision structure tables, spectrum of decision table use, and history of decision table programming. Topics include feature evaluation method, breadth of decision table applicability, and suggested design procedure. The book also takes a look at sequential test procedures and language references. The publication is a vital reference for researchers interested in decision table languages and systems.

    • University Education in Computing Science

      • 1st Edition
      • June 20, 2014
      • Aaron Finerman
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 9 7 6 0
      • eBook
        9 7 8 1 4 8 3 2 2 3 1 9 3
      University Education in Computing Science documents the proceedings of a conference on graduate academic and related research programs in computing science, held at the State University of New York at Stony Brook on June 8, 1967. This book provides a comprehensive study of the role of the computing sciences as an academic program, including its organizational structure and relationship to the computing center. The undergraduate education in computing science and operational policies of university computing centers are also elaborated. Other topics include the graduate computer science program at American universities, dilemma of computer sciences, and science and engineering of information. The industry's view of computing science and doctoral program in computing science are likewise covered. This publication is suitable for educational, industrial, and governmental organizations concerned with education related to computing science.

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