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Author: Frank S. Carlsen
Publisher:
ISBN:
Category : Sequences (Mathematics)
Languages : en
Pages : 44
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Book Description
Author: Frank S. Carlsen
Publisher:
ISBN:
Category : Sequences (Mathematics)
Languages : en
Pages : 44
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Book Description
Author: David Johnston
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 1501506269
Category : Computers
Languages : en
Pages : 524
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Book Description
Random Number Generators, Principles and Practices has been written for programmers, hardware engineers, and sophisticated hobbyists interested in understanding random numbers generators and gaining the tools necessary to work with random number generators with confidence and knowledge. Using an approach that employs clear diagrams and running code examples rather than excessive mathematics, random number related topics such as entropy estimation, entropy extraction, entropy sources, PRNGs, randomness testing, distribution generation, and many others are exposed and demystified. If you have ever Wondered how to test if data is really random Needed to measure the randomness of data in real time as it is generated Wondered how to get randomness into your programs Wondered whether or not a random number generator is trustworthy Wanted to be able to choose between random number generator solutions Needed to turn uniform random data into a different distribution Needed to ensure the random numbers from your computer will work for your cryptographic application Wanted to combine more than one random number generator to increase reliability or security Wanted to get random numbers in a floating point format Needed to verify that a random number generator meets the requirements of a published standard like SP800-90 or AIS 31 Needed to choose between an LCG, PCG or XorShift algorithm Then this might be the book for you.
Author: James E. Gentle
Publisher: Springer
ISBN: 9783662517659
Category : Computers
Languages : en
Pages : 0
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Book Description
The Handbook of Computational Statistics - Concepts and Methods (second edition) is a revision of the first edition published in 2004, and contains additional comments and updated information on the existing chapters, as well as three new chapters addressing recent work in the field of computational statistics. This new edition is divided into 4 parts in the same way as the first edition. It begins with "How Computational Statistics became the backbone of modern data science" (Ch.1): an overview of the field of Computational Statistics, how it emerged as a separate discipline, and how its own development mirrored that of hardware and software, including a discussion of current active research. The second part (Chs. 2 - 15) presents several topics in the supporting field of statistical computing. Emphasis is placed on the need for fast and accurate numerical algorithms, and some of the basic methodologies for transformation, database handling, high-dimensional data and graphics treatment are discussed. The third part (Chs. 16 - 33) focuses on statistical methodology. Special attention is given to smoothing, iterative procedures, simulation and visualization of multivariate data. Lastly, a set of selected applications (Chs. 34 - 38) like Bioinformatics, Medical Imaging, Finance, Econometrics and Network Intrusion Detection highlight the usefulness of computational statistics in real-world applications.
Author: Harald Niederreiter
Publisher: SIAM
ISBN: 0898712955
Category : Mathematics
Languages : en
Pages : 243
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Book Description
This volume contains recent work in uniform pseudorandom number generation and quasi-Monte Carlo methods, and stresses the interplay between them.
Author: Mario Leon Juncosa
Publisher:
ISBN:
Category : Computer programming
Languages : en
Pages : 56
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Book Description
Author: James L. Mannos
Publisher:
ISBN:
Category : Numbers, Random
Languages : en
Pages : 32
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Book Description
Statistical tests are presented which may be applied to any type of pseudo-random number generator to ascertain whether its statistics have certain desired properties. Possible pitfalls are discussed, along with a computer program to implement these tests. The program was applied to several types of uniformly-distributed generators, including the mixed-congruence, the exclusive-or-and-shift, and the CDC RANF generator. Each of these was found to exhibit statistical irregularities, indicating that care is necessary in the selection of a generator. A second computer program is described which tests the correlation between two pseudo-random number sequences. A practical example of its application provides insight into the generation of multiple sequences with a single generator. (Author).
Author: Ming Li
Publisher: Springer Science & Business Media
ISBN: 1475726066
Category : Mathematics
Languages : en
Pages : 655
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Book Description
Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions of objects. The length of such a description (or the number of bits of information in it) is its Kolmogorov complexity. We treat all aspects of the elementary mathematical theory of Kolmogorov complexity. This body of knowledge may be called algo rithmic complexity theory. The theory of Martin-Lof tests for random ness of finite objects and infinite sequences is inextricably intertwined with the theory of Kolmogorov complexity and is completely treated. We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book. We also investigate the recursion theoretic properties of Kolmogorov complexity (relations with Godel's incompleteness result), and the Kolmogorov complexity version of infor mation theory, which we may call "algorithmic information theory" or "absolute information theory. " The treatment of algorithmic probability theory in Chapter 4 presup poses Sections 1. 6, 1. 11. 2, and Chapter 3 (at least Sections 3. 1 through 3. 4).
Author: Olga Taussky
Publisher: Forgotten Books
ISBN: 9780366866199
Category : Mathematics
Languages : en
Pages : 24
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Book Description
Excerpt from Generation and Testing of Pseudo-Random Numbers We shall confine our attention to generation and testing of sequences of pseudo - random numbers by arithmetical* processes on automatic high speed digital computers. 'we shall also confine our attention mainly to a uniform distribution** of random numbers not random The approximation of normal deviates and other random variates by polynomials in uniform variates has been discussed in detail by Teichroew for other methods e, g. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: V. N. Yarmolik
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 184
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Book Description
Deals with theoretical and practical problems of generating pseudorandom signals, and their use in automatic testing and verification systems for complex engineering entities. The authors present their own research results, and note the work of other, international, researchers. Covers pseudorandom digital signals represented by number sequences, elements of the theory of generating so-called maximal-length sequences, synthesis of digital and mixed number sequence generators, and applications. Includes critical analysis of linear congruential sequences, and shows that M-sequences have better properties than other types of sequences.
Author: Carl Allen Faulkner
Publisher:
ISBN:
Category : Sequences (Mathematics)
Languages : en
Pages : 166
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Book Description
