1.

Record Nr.

UNINA9910144683703321

Autore

Thompson James R (James Robert), <1938->

Titolo

Simulation [[electronic resource] ] : a modeler's approach / / James R. Thompson

Pubbl/distr/stampa

New York, : Wiley, 2000

ISBN

1-282-30763-0

9786612307638

0-470-31706-X

0-470-31790-6

Descrizione fisica

1 online resource (332 p.)

Collana

Wiley series in probability and statistics. Applied probability and statistics

Disciplina

003.3

Soggetti

Experimental design

Mathematical models

Mathematical statistics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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 Motion

ProblemsReferences; 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 Equations

4.3.1. 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. Diversification

6.5. 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 Model

8.3. 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 Selection

10.8. The Bootstrap as an All-Purpose Tool

Sommario/riassunto

A 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, statist



2.

Record Nr.

UNISA996202495403316

Titolo

Conference proceedings

Pubbl/distr/stampa

[Place of publication not identified], : IEEE EMB, 2003

Disciplina

612.8/233

Soggetti

Technology

Health Occupations

Mathematical Concepts

Artificial Intelligence

Biological Science Disciplines

Engineering

Pattern Recognition, Automated

Natural Science Disciplines

Computing Methodologies

Technology, Industry, and Agriculture

Information Science

Occupations

Neural Networks (Computer)

Biotechnology

Neurosciences

Biomedical Engineering

Human Anatomy & Physiology

Health & Biological Sciences

Neuroscience

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph