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Stochastic Simulation

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ISBN-10: 0470009608

ISBN-13: 9780470009604

Edition: 1987

Authors: Brian D. Ripley

List price: $132.95
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Description:

A comprehensive guide to simulation methods with explicit recommendations of methods and algorithms. Covers both the technical aspects of the subject, such as the generation of random numbers, non-uniform random variates and stochastic processes, and the use of simulation. Supported by the relevant mathematical theory, the text contains a great deal of unpublished research material, including coverage of the analysis of shift-register generators, sensitivity analysis of normal variate generators, analysis of simulation output, and more. Includes a selection of computer programs.
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Book details

List price: $132.95
Copyright year: 1987
Publisher: John Wiley & Sons, Incorporated
Publication date: 3/10/2006
Binding: Paperback
Pages: 264
Size: 6.30" wide x 9.51" long x 0.51" tall
Weight: 0.880
Language: English

Aims of Simulation
The Tools
Models
Simulation as Experimentation
Simulation in Inference
Examples
Literature
Convention
Exercises
Pseudo-Random Numbers
History and Philosophy
Congruential Generators
Shift-Register Generators
Lattice Structure
Shuffling and Testing
Conclusions
Proofs
Exercises
Random Variables
Simple Examples
General Principles
Discrete Distributions
Continuous Distributions
Recommendations
Exercises
Stochastic Models
Order Statistics
Multivariate Distributions
Poisson Processes and Lifetimes
Markov Processes
Gaussian Processes
Point Processes
Metropolis' Method and Random Fields
Exercises
Variance Reduction
Monte-Carlo Integration
Importance Sampling
Control and Antithetic Variates
Conditioning
Experimental Design
Exercises
Output Analysis
The Initial Transient
Batching
Time-Series Methods
Regenerative Simulation
A Case Study
Exercises
Uses of Simulation
Statistical Inference
Stochastic Methods in Optimization
Systems of Linear Equations
Quasi-Monte-Carlo Integration
Sharpening Buffon's Needle
Exercises
References
Computer Systems
Computer Programs
Form a x b mod c
Check Primitive Roots
Lattice Constants for Congruential Generators
Test GFSR Generators
Normal Variates
Exponential Variates
Gamma Variates
Discrete Distributions
Index