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Book
Introducing Monte Carlo Methods with R
Authors: --- ---
ISBN: 9781441915757 9781441915764 9781441915825 1441915753 Year: 2010 Publisher: New York NY Springer New York

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Abstract

Computational techniques based on simulation have now become an essential part of the statistician's toolbox. It is thus crucial to provide statisticians with a practical understanding of those methods, and there is no better way to develop intuition and skills for simulation than to use simulation to solve statistical problems. Introducing Monte Carlo Methods with R covers the main tools used in statistical simulation from a programmer's point of view, explaining the R implementation of each simulation technique and providing the output for better understanding and comparison. While this book constitutes a comprehensive treatment of simulation methods, the theoretical justification of those methods has been considerably reduced, compared with Robert and Casella (2004). Similarly, the more exploratory and less stable solutions are not covered here. This book does not require a preliminary exposure to the R programming language or to Monte Carlo methods, nor an advanced mathematical background. While many examples are set within a Bayesian framework, advanced expertise in Bayesian statistics is not required. The book covers basic random generation algorithms, Monte Carlo techniques for integration and optimization, convergence diagnoses, Markov chain Monte Carlo methods, including Metropolis {Hastings and Gibbs algorithms, and adaptive algorithms. All chapters include exercises and all R programs are available as an R package called mcsm. The book appeals to anyone with a practical interest in simulation methods but no previous exposure. It is meant to be useful for students and practitioners in areas such as statistics, signal processing, communications engineering, control theory, econometrics, finance and more. The programming parts are introduced progressively to be accessible to any reader. Christian P. Robert is Professor of Statistics at Université Paris Dauphine, and Head of the Statistics Laboratory of CREST, both in Paris, France. He has authored more than 150 papers in applied probability, Bayesian statistics and simulation methods. He is a fellow of the Institute of Mathematical Statistics and the recipient of an IMS Medallion. He has authored eight other books, including The Bayesian Choice which received the ISBA DeGroot Prize in 2004, Monte Carlo Statistical Methods with George Casella, and Bayesian Core with Jean-Michel Marin. He has served as Joint Editor of the Journal of the Royal Statistical Society Series B, as well as an associate editor for most major statistical journals, and was the 2008 ISBA President. George Casella is Distinguished Professor in the Department of Statistics at the University of Florida. He is active in both theoretical and applied statistics, is a fellow of the Institute of Mathematical Statistics and the American Statistical Association, and a Foreign Member of the Spanish Royal Academy of Sciences. He has served as Theory and Methods Editor of the Journal of the American Statistical Association, as Executive Editor of Statistical Science, and as Joint Editor of the Journal of the Royal Statistical Society Series B. In addition to books with Christian Robert, he has written Variance Components, 1992, with S.R. Searle and C.E. McCulloch; Statistical Inference, Second Edition, 2001, with Roger Berger; and Theory of Point Estimation, Second Edition, 1998, with Erich Lehmann. His latest book is Statistical Design 2008.


Book
Semi-Markov chains and hidden semi-Markov models toward applications : their use in reliability and DNA analysis
Authors: ---
ISBN: 9780387731735 0387731717 9780387731711 9786611960063 1281960063 0387731733 Year: 2008 Volume: 191 Publisher: New York : Springer,

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This book is concerned with the estimation of discrete-time semi-Markov and hidden semi-Markov processes. Semi-Markov processes are much more general and better adapted to applications than the Markov ones because sojourn times in any state can be arbitrarily distributed, as opposed to the geometrically distributed sojourn time in the Markov case. Another unique feature of the book is the use of discrete time, especially useful in some specific applications where the time scale is intrinsically discrete. The models presented in the book are specifically adapted to reliability studies and DNA analysis. The book is mainly intended for applied probabilists and statisticians interested in semi-Markov chains theory, reliability and DNA analysis, and for theoretical oriented reliability and bioinformatics engineers. It can also serve as a text for a six month research-oriented course at a Master or PhD level. The prerequisites are a background in probability theory and finite state space Markov chains. Vlad Stefan Barbu is associate professor in statistics at the University of Rouen, France, Laboratory of Mathematics ‘Raphaël Salem.’ His research focuses basically on stochastic processes and associated statistical problems, with a particular interest in reliability and DNA analysis. He has published several papers in the field. Nikolaos Limnios is a professor in Applied Mathematics at the University of Technology of Compiègne. His research interest concerns stochastic processes and statistics with application to reliability. He is the co-author of the books: Semi-Markov Processes and Reliability (Birkhäuser, 2001 with G. Oprisan) and Stochastic Systems in Merging Phase Space (World Scientific, 2005, with V.S. Koroliuk).

Keywords

Markov processes --- Reliability (Engineering) --- DNA --- Markov, Processus de --- Fiabilité --- Mathematical models --- Analysis --- Modèles mathématiques --- DNA --Analysis --Mathematical models. --- Markov processes. --- Reliability (Engineering) --Mathematical models. --- Evaluation Studies as Topic --- Probability --- Stochastic Processes --- Epidemiologic Research Design --- Investigative Techniques --- Nucleic Acids --- Statistics as Topic --- Mathematical Concepts --- Nucleic Acids, Nucleotides, and Nucleosides --- Epidemiologic Methods --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Health Care Evaluation Mechanisms --- Quality of Health Care --- Public Health --- Phenomena and Processes --- Chemicals and Drugs --- Environment and Public Health --- Health Care Quality, Access, and Evaluation --- Health Care --- Markov Chains --- Models, Theoretical --- Reproducibility of Results --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Mathematical models. --- Fiabilité --- Modèles mathématiques --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Deoxyribonucleic acid --- Desoxyribonucleic acid --- Thymonucleic acid --- TNA (Nucleic acid) --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Mathematics. --- Bioinformatics. --- Operations research. --- Management science. --- Probabilities. --- Statistics. --- Quality control. --- Reliability. --- Industrial safety. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Quality Control, Reliability, Safety and Risk. --- Operations Research, Management Science. --- Stochastic processes --- Deoxyribose --- Nucleic acids --- Genes --- Distribution (Probability theory. --- Mathematical statistics. --- System safety. --- Bio-informatics --- Biological informatics --- Biology --- Information science --- Computational biology --- Systems biology --- Safety, System --- Safety of systems --- Systems safety --- Accidents --- Industrial safety --- Systems engineering --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Data processing --- Prevention --- Statistics . --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Industrial accidents --- Industries --- Job safety --- Occupational hazards, Prevention of --- Occupational health and safety --- Occupational safety and health --- Prevention of industrial accidents --- Prevention of occupational hazards --- Safety, Industrial --- Safety engineering --- Safety measures --- Safety of workers --- System safety --- Dependability --- Trustworthiness --- Conduct of life --- Factory management --- Standardization --- Quality assurance --- Quality of products --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk


Book
Markovian demand inventory models
Author:
ISBN: 9780387716046 9780387716039 0387716033 1461424666 9786612509018 1282509012 0387716041 Year: 2010 Publisher: New York ; London : Springer,

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"This book contains the most complete, rigorous mathematical treatment of the classical dynamic inventory model with stochastics demands that I am aware of. Emphasis is placed on a demand structure governed by a discrete time Markov chain. The state of the Markov chain determines the demand distribution for the period in question. Under this more general demand structure, (s,S) ordering policies are still shown to be optimal. The mathematical level is advanced and the book would be most appropriate for a specialized course at the Ph.D. level." Donald L. Iglehart Professor Emeritus of Operations Research, Stanford University "This book provides a comprehensive mathematical presentation of (s,S) inventory models and affords readers thorough coverage of the analytic tools used to establish theoretical results. Markovian demand models are central in the extensive scientific literature on inventory theory, and this volume reviews all the important conceptual developments of the subject." Harvey M. Wagner University of North Carolina at Chapel Hill "Beyer, Cheng, Sethi and Taksar have done a fine job of bringing together many of the central results about this important class of models. The book will be useful to anyone interested in inventory theory." Paul Zipkin Duke University.

Keywords

Economics/Management Science. --- Production/Logistics. --- Probability Theory and Stochastic Processes. --- Engineering Economics, Organization, Logistics, Marketing. --- Mathematical Modeling and Industrial Mathematics. --- Industrial and Production Engineering. --- Operations Research/Decision Theory. --- Economics. --- Distribution (Probability theory). --- Industrial engineering. --- Engineering economy. --- Business logistics. --- Economie politique --- Distribution (Théorie des probabilités) --- Génie industriel --- Décision économique, prise de --- Logistique (Organisation) --- Inventory control --- Inventories. --- Markov processes. --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Stock in trade --- Stock-taking --- Mathematical models. --- Inventory control -- Mathematical models. --- Inventory control. --- Control, Inventory --- Inventory management --- Stock control --- Business. --- Production management. --- Operations research. --- Decision making. --- Business mathematics. --- Management science. --- Probabilities. --- Engineering economics. --- Business and Management. --- Business Mathematics. --- Operation Research/Decision Theory. --- Operations Research, Management Science. --- Operations Management. --- Economy, Engineering --- Engineering economics --- Industrial engineering --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Finance --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Operational analysis --- Operational research --- Management science --- Research --- System theory --- Manufacturing management --- Industrial management --- Trade --- Economics --- Commerce --- Decision making --- Business logistics --- Physical distribution of goods --- Production control --- Inventories --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Markov processes --- Mathematical models

Hidden Markov models in finance
Authors: ---
ISBN: 9780387711638 9780387710815 0387710817 0387711635 1441943803 9786610852048 1280852046 Year: 2007 Volume: 104 Publisher: New York : Springer,

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A number of methodologies have been employed to provide decision making solutions to a whole assortment of financial problems in today's globalized markets. Hidden Markov Models in Finance by Mamon and Elliott will be the first systematic application of these methods to some special kinds of financial problems; namely, pricing options and variance swaps, valuation of life insurance policies, interest rate theory, credit risk modeling, risk management, analysis of future demand and inventory level, testing foreign exchange rate hypothesis, and early warning systems for currency crises. This book provides researchers and practitioners with analyses that allow them to sort through the random "noise" of financial markets (i.e., turbulence, volatility, emotion, chaotic events, etc.) and analyze the fundamental components of economic markets. Hence, Hidden Markov Models in Finance provides decision makers with a clear, accurate picture of core financial components by filtering out the random noise in financial markets. .

Keywords

operationeel onderzoek --- speltheorie --- management --- Operational research. Game theory --- kansrekening --- Business management --- Planning (firm) --- handelswetenschappen --- mathematische modellen --- bedrijfskunde --- financiën --- Finance --- stochastische analyse --- Markov processes --- Finances --- Markov, Processus de --- Mathematical models --- Modèles mathématiques --- EPUB-LIV-FT LIVECONO LIVGESTI SPRINGER-B --- Operations research. --- Finance. --- Distribution (Probability theory. --- Business. --- Operations Research/Decision Theory. --- Finance, general. --- Mathematical Modeling and Industrial Mathematics. --- Probability Theory and Stochastic Processes. --- Business and Management, general. --- Operations Research, Management Science. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Funding --- Funds --- Economics --- Currency question --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Trade --- Management --- Commerce --- Industrial management --- 305.91 --- AA / International- internationaal --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles --- Decision making. --- Mathematical models. --- Probabilities. --- Management science. --- Quantitative business analysis --- Problem solving --- Operations research --- Statistical decision --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Models, Mathematical --- Simulation methods --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Decision making --- Markov processes.

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