05446nam 2200661Ia 450 991084172270332120170815115810.01-282-30763-097866123076380-470-31706-X0-470-31790-6(CKB)1000000000687574(EBL)469964(OCoLC)476298238(SSID)ssj0000342906(PQKBManifestationID)11304594(PQKBTitleCode)TC0000342906(PQKBWorkID)10287381(PQKB)10197802(MiAaPQ)EBC469964(PPN)159314976(EXLCZ)99100000000068757419990507d2000 uy 0engur|n|---|||||txtccrSimulation[electronic resource] a modeler's approach /James R. ThompsonNew York Wiley20001 online resource (332 p.)Wiley series in probability and statistics. Applied probability and statisticsDescription based upon print version of record.0-471-25184-4 Includes bibliographical references and index.Simulation A Modeler's Approach; Contents; Preface; 1 The Generation of Random Numbers; 1.1. Introduction; 1.2. The Generation of Random Uniform Variates; 1.3. Latticing and Other Problems; Problems; References; 2 Random Quadrature; 2.1. Introduction; 2.2. Hit-or-h.iiss Monte Carlo; 2.3. Sample Mean Monte Carlo; 2.4. Control Variate Sampling; 2.5. Importance Sampling; 2.6. Stratification; 2.7. Antithetic Variates; 2.8, Least Squares Est.imators; 2.9. Evaluation of Multidimensional Integrals; 2.10. Stratification in Multidimensional Integration; 2.11. Wiener Measure and Brownian MotionProblemsReferences; 3 Monte Carlo Solutions of Differential Equations; 3.1. Introduction; 3.2. Gambler's Ruin; 3.3. Solution of Simple Differential Equations; 3.4. Solution of the Fokker-Planck Equation; 3.5. The Dirichlet Problem; 3.6. Solution of General Elliptic Differential Equations; 3.7. Conclusions; Problems; References; 4 Markov Chains, Poisson Processes, and Linear Equations; 4.1. Discrete Markov hfodeling; 4.1.1. The Basic Model; 4.1.2. Saving the King; 4.1.3. Screening for Cancer; 4.2. Poisson Process Modeling; 4.3. Solving Systems of Linear Equations4.3.1. An Inefficient Procedure4.3.2. An Algorithm Based on Jacobi Iteration; Problems; References; 5 SIMEST, SIMDAT, and Pseudoreality; 5.1. Computers Si, Models No; 5.2. The Bootstrap: A Dirac-Comb Density btimator; 5.3. SIh4DAT: 4 Smooth Resampling Algorithm; 5.3.1. The SIhIDAT Algorithm; 5.3.2. An Empirical Justification of SIMDAT; 5.4. SIMEST: .4n Oncological Example; 5.4.1. An Exploratory Prelude; 5.4.2. Model and Algorithms; Problems; References; 6 Models for Stocks and Derivatives; 6.1. Introduction; 6.2. Ito's Lemma; 6.3. A Geometric Brownian Model for Stocks; 6.4. Diversification6.5. Negatively Correlated Portfotios6.6. Bear Jumps; 6.7. Options; 6.8. Getting Real: Simulation Analysis of Option Buying; 6.9. Conclusions; Problems; References; 7 Simulation Assessment of Multivariate and Robust Procedures in Statisticai Process Control; 7.1. Introduction; 7.2. A Cont.amination Model for SPC; 7.3. A Compound Test for Higher-Dimensional SPC Data; 7.4. Rank Testing with Higher-Dimensional SPC Data; 7.5. A Robust Estimation Procedure for Location in Higher Dimensions; Problems; Referencas; 8 Noise and Chaos; 8.1. Introduction; 8.2. The Discrete Logistic Model8.3. A Chaotic Convection Model8.4. Conclusions; Problems; References; 9 Bayesian Approaches; 9.1. Introduction; 9.2. The EM Algorithm; 9.3. The Data Augmentation Algorithm; 9.4. The Gibbs Sampler; 9.5. Conclusions; Problems; References; 10 Resampling-Based Tests; 10.1. Introduction; 10.2. Fisher's Analysis of Darwin's Data; 10.3. A Bootstrap Approximation to Fisher's Nonparametric Test; 10.4. The Classical Randomization Test; 10.5. A Resampling-Based Sign Test; 10.6. A Resampling Approach to Confidence Intervds; 10.7. Resampling for Regression Model Selection10.8. The Bootstrap as an All-Purpose ToolA unique, integrated treatment of computer modeling and simulation ""The future of science belongs to those willing to make the shift to simulation-based modeling,"" predicts Rice Professor James Thompson, a leading modeler and computational statistician widely known for his original ideas and engaging style. He discusses methods, available to anyone with a fast desktop computer, for integrating simulation into the modeling process in order to create meaningful models of real phenomena. Drawing from a wealth of experience, he gives examples from trading markets, oncology, epidemiology, statistWiley series in probability and statistics.Applied probability and statistics.Experimental designMathematical modelsMathematical statisticsExperimental design.Mathematical models.Mathematical statistics.003.3Thompson James R(James Robert),1938-141788MiAaPQMiAaPQMiAaPQBOOK9910841722703321Simulation509216UNINA