Introduction to Stochastic Programming

The theory of Lévy processes in Lie groups is not merely an extension of the theory of Lévy processes in Euclidean spaces. Because of the unique structures possessed by non-commutative Lie groups, these processes exhibit certain interesting limiting properties which are not present for their counterparts in Euclidean spaces. These properties reveal a deep connection between the behaviour of the stochastic processes and the underlying algebraic and geometric structures of the Lie groups themselves. The purpose of this work is to provide an introduction to Lévy processes in general Lie groups, the limiting properties of Lévy processes in semi-simple Lie groups of non-compact type and the dynamical behavior of such processes as stochastic flows on certain homogeneous spaces. The reader is assumed to be familiar with Lie groups and stochastic analysis, but no prior knowledge of semi-simple Lie groups is required.

Axiomatic categorical domain theory is crucial for understanding the meaning of programs and reasoning about them. This book is the first systematic account of the subject and studies mathematical structures suitable for modelling functional programming languages in an axiomatic (i.e. abstract) setting. In particular, the author develops theories of partiality and recursive types and applies them to the study of the metalanguage FPC; for example, enriched categorical models of the FPC are defined. Furthermore, FPC is considered as a programming language with a call-by-value operational semantics and a denotational semantics defined on top of a categorical model. To conclude, for an axiomatisation of absolute non-trivial domain-theoretic models of FPC, operational and denotational semantics are related by means of computational soundness and adequacy results. To make the book reasonably self-contained, the author includes an introduction to enriched category theory.

The essays in this collection cover the whole range of Irish drama from the late nineteenth-century melodramas which anticipated the rise of the Abbey Theatre to the contemporary Dublin of theatre festivals. A team of international experts from Ireland, the UK, the USA and Europe provide individual studies of internationally known playwrights of the period of the Literary Revival - Yeats, Synge, Lady Gregory, Shaw, Wilde, O'Casey - and contemporary playwrights Brian Friel, Tom Murphy, Frank McGuiness and Sebastian Barry, in addition to emerging playwrights such as Martin McDonagh and Marina Carr. Further to studies of individual playwrights the collection also includes examination of the relationship between the theatre and its political context as this is inflected through its ideology, staging and programming. With a full chronology and bibliography, this collection is an indispensable introduction to one of the world's most vibrant theatre cultures.

Kiyosi Ito's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller theory of Markov processes. Starting with the geo

This book provides an up-to-date introduction to the theory of sound propagation in the ocean. The text treats both ray and wave propagation and pays considerable attention to stochastic problems such

This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The first half of the book gives an exposition of real analysis: basic set theory, general topology, measure theory, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The second half introduces probability based on measure theory, including laws of large numbers, ergodic theorems, the central limit theorem, conditional expectations and martingale's convergence. A chapter on stochastic processes introduces Brownian motion and the Brownian bridge. The edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on uniform approximation in algebras of functions. Several other sections have been revised and improved, and the comprehensive historical n

This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The first half of the book gives an exposition of real analysis: basic set theory, general topology, measure theory, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The second half introduces probability based on measure theory, including laws of large numbers, ergodic theorems, the central limit theorem, conditional expectations and martingale's convergence. A chapter on stochastic processes introduces Brownian motion and the Brownian bridge. The edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on uniform approximation in algebras of functions. Several other sections have been revised and improved, and the comprehensive historical n

An accessible introduction to probability, stochastic processes, and statistics for computer science and engineering applications This updated and revised edition of the popular classic relates fu

A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.

Optimal Reliability Design, first published in 2000, provides a detailed introduction to systems reliability and reliability optimization. Techniques for maximizing system reliability are described, focusing on component reliability enhancement and redundancy arrangement. The authors present several case studies and show how optimization techniques are applied in practice. They also pay particular attention to finding methods that give the optimal trade-off between reliability and cost. The book begins with a review of key background material, and a discussion of a range of optimization models. The authors go on to cover optimization tools, such as heuristics, discrete optimization, nonlinear programming, mixed integer programming, optimal arrangement, and metaheuristic algorithms. They also describe the computational implementation of these tools. Many numerical examples are included, and the book contains over 180 homework exercises. It is suitable as a textbook for graduate-level co

This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to sel

Lévy processes are rich mathematical objects and constitute perhaps the most basic class of stochastic processes with a continuous time parameter. This book is intended to provide the reader with comprehensive basic knowledge of Lévy processes, and at the same time serve as an introduction to stochastic processes in general. No specialist knowledge is assumed and proofs are given in detail. Systematic study is made of stable and semi-stable processes, and the author gives special emphasis to the correspondence between Lévy processes and infinitely divisible distributions. All serious students of random phenomena will find that this book has much to offer.

This text in microeconomics focuses on the strategic analysis of markets under imperfect competition, incomplete information, and incentives. Part I of the book covers imperfect competition, from monopoly and regulation to the strategic analysis of oligopolistic markets. Part II explains the analytics of risk, stochastic dominance, and risk aversion, supplemented with a variety of applications from different areas in economics. Part III focuses on markets and incentives under incomplete information, including a comprehensive introduction to the theory of auctions, which plays an important role in modern economics. Each chapter introduces the core issues in an accessible yet rigorous fashion, and then investigates specialized themes. Each also offers self-contained explanations and proofs. The only prerequisites are a basic knowledge of calculus and probability, and familiarity with intermediate undergraduate microeconomics. The text can be used as a textbook in different courses for se

Illustrates how to take advantage of using VBA in Word, with a no-nonsense introduction to Word Macros and VBA programming for power users and aspiring beginners.

This book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It offers a practical introduction to the theory of stochastic partial differential equ

Primarily an introduction to the theory of stochastic processes at the undergraduate or beginning graduate level, the primary objective of this book is to initiate students in the art of stochastic mo

Rice offers the most comprehensive, research-based introduction to stress management and personal health programming available, addressing the theoretical aspects of stress and stress management. With

Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. In this way, all the key ideas are covered without getting involved in the complications of more advanced systems, but concentrating rather on the principles that make the theory work in practice. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm which lies at the heart of every such system. Also featured are two other interesting algorithms that have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making the book at a level which can be used as an introduction to type theory for comp

This innovative text provides beginning programmers with a concise, accessible introduction to the world of C. Assuming no prior programming experience, the author presents a carefully chosen subset o

Numerical Recipes in Fortran 90 starts with a detailed introduction to the Fortran 90 language and then presents the basic concepts of parallel programming. All 350+ routines from the second edition of Numerical Recipes are presented in Fortran 90. Many are completely reworked algorithmically so as to be 'parallel-ready' and to utilise Fortran 90's advanced language features. Numerical Recipes in Fortran 90 emphasises general principles, but throughout there are also numerous hints and tips. This volume is intended for use with the original Numerical Recipes in Fortran, 2nd Edition (now called Numerical Recipes in Fortran 77) and does not discuss how the individual programs are used, or how the mathematical methods are used. An excellent guide for Fortran programmers interested in moving to Fortran 90, or C/C++ programmers interested in parallel programming.

Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and reflected Brownian motion. The authors provide not only a self-contained introduction to the theory but also details of how the required Lyapunov functions are constructed in various situations.

As computerisation in the medical environment has increased, so the advantages of storage and the computer analysis of data from various monitoring and measuring equipment has become well recognised. Most medical monitoring and measurement equipment now supports an RS-232 serial interface, allowing for direct computer access both in terms of data analysis and equipment control. This book describes the techniques used for interfacing a PC to a range of medical equipment used internationally in the areas of anaesthesia, intensive care, surgery, respiratory medicine and physiology. Part One addresses the serial interface, including the RS-232 standard, transmission of data and an introduction to serial-interface programming using Microsoft QuickBASIC. Part Two looks at electrical safety, the use of Kermit and data analysis. Part Three considers the practical aspects of interfacing a PC to a wide range of equipment, and includes example programs for collecting data and in some cases for co

This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

Research programmes in economics usually emerge from the intersection between a new analytical approach and a real economic problem. In the last few years, such a programme has emerged in international monetary economics, which is underpinned by a theoretical framework grounded in stochastic calculus and the increasing prominence in the real world of the international monetary arrangements under which national monetary authorities attempt to keep exchange rates within bands or 'target zones'. This new programme of research also covers switches in exchange rate regimes. This volume from the Centre for economic Policy Research and the National Bureau of Economic Research includes contributions - as authors or discussants - from most of the active participants in the development of this new field, and will serve as a useful introduction and basic text for this new research programme. It opens with an account of the basic economic model of a currency band developed by Paul Krugman, which i

Concise advanced-level introduction to stochastic processes that frequently arise in applied probability. Largely self-contained text covers Poisson process, renewal theory, Markov chains, inventory

The primary object of this manual is to build an understanding of the principles of computer operations and the use of computers in the laboratory. While the development of applications for computers has been rapid since their introduction, the principles of computer operation and their use in sensing and control have remained stable. Those are the primary subjects of this book, throughout which a gradual understanding of what goes on inside a computer is developed. The laboratory provides a vital experience in linking theory with physical reality, and all of the computer work is done in the context of doing experiments. The IBM-PC design is used as the basis for the book. The internal design of this machine is slightly more complicated than earlier personal computers, but it is still simple enough to be quickly learned. The computer can be directly controlled by proper programming, and offers considerably more power than earlier designs. The IBM design also has expansion slots which m

This is an introduction to the field of efficient parallel algorithms and to the techniques for efficient parallelisation. It is self-contained and presumes no special knowledge of parallel computers or particular mathematics. The book emphasises designing algorithms within the timeless and abstracted context of a high-level programming language rather than within highly specific computer architectures. This is an approach which concentrates on the essence of algorithmic theory, determining and taking advantage of the inherently parallel nature of certain types of problem. The authors present regularly-used techniques and a range of algorithms which includes some of the more celebrated and well-known. Efficient Parallel Algorithms is targeted at non-specialists who are considering entering the field of parallel algorithms. It will be particularly useful for courses aimed at advanced undergraduate or new postgraduate students of computer science and mathematics.

This is a concise graduate level introduction to analytical functional methods in quantum field theory. Functional integral methods provide relatively simple solutions to a wide range of problems in quantum field theory. After introducing the basic mathematical background, this book goes on to study applications and consequences of the formalism to the study of series expansions, measure, phase transitions, physics on spaces with nontrivial topologies, stochastic quantisation, fermions, QED, non-abelian gauge theories, symmetry breaking, the effective potential, finite temperature field theory, instantons and compositeness. Serious attention is paid to the shortcomings of the conventional formalism (e.g. problems of measure) as well as detailed appraisal of the ambiguities of series summation. This book will be of great use to graduate students in theoretical physics wishing to learn the use of functional integrals in quantum field theory. It will also be a useful reference for researc

In this book, Jon Conrad and Colin Clark develop the theory of resource economics. To begin, they provide an introduction to the required techniques of dynamic optimization. Throughout the book they build the reader's understanding with many fully-worked problems and numerical examples. The authors have written this text in the belief that the theory and concepts of resource are more quickly learned, more effectively made operational, and more truly understood if the reader is exposed to carefully explained numerical examples. By working through the problems at the end of each chapter, students will learn the techniques to be used in empirical studies of natural resource systems. The first chapter provides an introduction to optimization, including constrained optimization, dynamic allocation problems, dynamic programming, continuous time problems, and the maximum principle, and a discussion of various numerical and graphical techniques. The remaining chapters deal in depth with the ec

In this book, Jon Conrad and Colin Clark develop the theory of resource economics. To begin, they provide an introduction to the required techniques of dynamic optimization. Throughout the book they build the reader's understanding with many fully-worked problems and numerical examples. The authors have written this text in the belief that the theory and concepts of resource are more quickly learned, more effectively made operational, and more truly understood if the reader is exposed to carefully explained numerical examples. By working through the problems at the end of each chapter, students will learn the techniques to be used in empirical studies of natural resource systems. The first chapter provides an introduction to optimization, including constrained optimization, dynamic allocation problems, dynamic programming, continuous time problems, and the maximum principle, and a discussion of various numerical and graphical techniques. The remaining chapters deal in depth with the ec

This 1987 book is a self-contained text on the probabilistic modelling method. It provides the reader with an understanding of the available results as well as with examples of their application. The only background assumed is a knowledge of basic calculus. The necessary fundamentals of probability are presented followed by an introduction to stochastic processes. The remainder of the book is devoted to the treatment of various single-station and their application to uni-programmed and multi-programmed systems and local and wide-area networks. Both exact and approximate solution methods are discussed, with as much emphasis on explaining the ideas and providing information, as on derivations and proofs. This book will still be of use for anyone with an interest in the history of computer science.

This book, written entirely by hand, is an introduction to programming in Pascal. It starts with the fundamental concept of a stored program and works through to the manipulation of records in dynamic storage. The style of presentation is pictorial. This book may be used as a self-contained reference manual for Pascal to BS 6192 and ISO 7185. Besides defining the statements and structures of Pascal this book illustrates the use of such features in small but complete programs. These programs introduce fundamental techniques of programming such as symbol-state tables, bubble sort, quicksoft, stacks and queues, reverse Polish notation, linked lists, shortest-route technique, doubly linked rings, binary trees, hashing technique and other tools of the programmer's trade.

This textbook is an introduction to the design and writing of computer programs. It leads the reader through all the stages of program construction from the original specifications through to the final program. The formal verification of intermediate versions of the program is studied in considerable detail. The authors show how, given the formal specification of a program, data structure and program structure diagrams are drawn and then converted into a procedural program in a program design language (PDL). They demonstrate the conversion of PDL into a variety of real programming languages including Pascal, FORTRAN, COBOL, and Assembler. The book also includes chapters on abstract data types, analysing existing programs, and a small case study. First-year undergraduates in computer science and graduates taking courses in computing will find this a comprehensive introduction to program construction.

Fortran is a computer language that has been around for a quarter of a century, and is still much used despite predictions throughout its life that it would be replaced by more elegant languages. But Fortran is still the only language in which it is possible to write truly portable programs. Using his own special formula, Donald Alcock now does for Fortran what he did for BASIC in his earlier book, Illustrating BASIC. The Fortran described and illustrated is that defined by the American National Standards Institute in 1966 but with allusions to the same Institute's standard published in 1978. For both the person who is new to computers and programming, and the person who has met only BASIC before, this book will give an excellent introduction to standard Fortran; it also provides a reference manual for the language.

BCPL is a simple systems programming language with a portable compiler that has been implemented on many machines from large mainframes to mini computers and microprocessors. The book provides an introduction to the language, paying particular attention to programming style. In addition, it covers the more machine-independent parts of the BCPL library and outlines various debugging aids that most implementations provide. The syntax analysis phase of the compiler is described in detail, giving a realistic example of a typical application of the language. This and other substantial examples given in the book will be of interest both to serious users of BCPL and to computer writers. There is a chapter concerned with the portability code generator design. The reference for BCPL appears as the final chapter.

Android How to Program, Second Edition provides a clear and entertaining App-driven introduction to Android 4.3 development for both introductory- and intermediate-level programming courses. The Deite