A Non-Random Sampling Method (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Hardcover
- New

Seller: PBShop.store UK, Fairford, GLOS, United KingdomPBShop.store UK
AbeBooks seller since June 11, 1999
Condition: New
US$ 38.20
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Add to basketItem description from seller
Seller Inventory # LX-9780267866076
- Title
- A Non-Random Sampling Method (Classic Reprint)
- Author
- Robert D. Richtmyer
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- HRD
- Language
- English
- ISBN 10
- 0267866070
- ISBN 13
- 9780267866076
- Item weight
- 281 grams
Discover a new approach to Monte Carlo problems that aims to improve accuracy with systematic sampling.
This book explains how a non-random method, based on congruences and Weyl’s theorems, can produce faster convergence than traditional random sampling in high-dimensional integrals. It outlines the ideas, the math, and practical implications for problems like chain reactions and other stochastic models.
Opening with the Monte Carlo method, the work then builds a framework for using orderly point sequences in the unit cube. It shows how carefully chosen, linearly independent irrational numbers determine a full sampling scheme and how this can lead to reduced fluctuations in estimates. The discussion spans theory, statistical treatment, and numerical results, with attention to when the improvement is most noticeable.
- How systematic sampling differs from random sampling and when it helps most.
- Connections between uniform distribution, Fourier series, and convergence rates.
- Practical considerations for implementing the method, including error behavior and digits on a machine.
- Numerical examples that illustrate the method’s impact on Monte Carlo calculations.
Ideal for readers of numerical analysis and Monte Carlo methods seeking a rigorous, implementable alternative to standard random sampling.
"Synopsis" may belong to another edition of this title.
PBShop.store UK
Fairford, GLOS, United Kingdom
AbeBooks seller since June 11, 1999
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