A Non-Random Sampling Method (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.52
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This fascinating book proposes a method to enhance Monte Carlo simulations by introducing a new non-random sampling approach grounded in mathematical theories. By replacing the random generation of points in multi-dimensional space with carefully constructed sequences derived from algebraic principles, this method has the potential to yield more accurate results for complex simulations, particularly those with high dimensionality. The author provides theoretical foundations for the method, supported by statistical analysis and numerical examples. The book opens up new avenues for researchers and practitioners seeking to improve the efficiency and precision of their Monte Carlo simulations, a technique widely used in fields such as physics, finance, and engineering. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332421251_0
- Title
- A Non-Random Sampling Method (Classic Reprint)
- Author
- Robert D. Richtmyer
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332421253
- ISBN 13
- 9781332421251
- Seller catalogs
- Statistics
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.
Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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FB &c Ltd
Dalton House, 60 Windsor Avenue
London, United Kingdom SW19 2RR
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All books are Print on Demand and will be printed upon purchase and shipped in New Condition. Orders typically ship within 3-5 business days. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the ask bookseller a question link to contact us and we'll respond within 2 business days.
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All Forgotten Books titles are printed on demand. The moment an order is submitted, it is automatically transmitted to our distributor and then forwarded to the printer, where it enters production. This process begins within minutes and is entirely automated.
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