Description

Book Synopsis
1 Introduction.- 2 Preliminaries from Number Theory.- 3 Linear Congruential Generators.- 4 Beyond Linear Congruential Generators.- 5 Statistical Tests.- 6 Derandomization.- A Sample C Routines.- References.

Table of Contents
Series Foreword by Yu-Chi Ho. Preface. 1: Introduction. 2: Preliminaries from Number Theory. 2.1. Modular Arithmetic. 2.2. Geometry of Numbers. 2.3. Uniform Distribution of Sequences. 3: Linear Congruential Generators. 3.1. Lattice Structure. 3.2. Spectral Test. 3.3. Implementing Long-Period LCGs. 4: Beyond Linear Congruential Generators. 4.1. LCGs Using Polynomial Arithmetic. 4.2. LCGs Using Multiplicative Inversion. 4.3. Random Sequences in Cryptography. 5: Statistical Tests. 5.1. Description of Test Procedures. 5.2. Tests Using Non-Uniform Random Variate Generation. 6: Derandomization. 6.1. Low-Discrepancy Sequences. 6.2. K-wise Independent Random Variables. A: Sample C Routines. References Index.

Uniform Random Numbers Theory and Practice 315

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A Hardback by Shu Tezuka

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    View other formats and editions of Uniform Random Numbers Theory and Practice 315 by Shu Tezuka

    Publisher: Springer
    Publication Date: 31/05/1995
    ISBN13: 9780792395720, 978-0792395720
    ISBN10: 0792395727
    Also in:
    Cybernetics and systems theory

    Description

    Book Synopsis
    1 Introduction.- 2 Preliminaries from Number Theory.- 3 Linear Congruential Generators.- 4 Beyond Linear Congruential Generators.- 5 Statistical Tests.- 6 Derandomization.- A Sample C Routines.- References.

    Table of Contents
    Series Foreword by Yu-Chi Ho. Preface. 1: Introduction. 2: Preliminaries from Number Theory. 2.1. Modular Arithmetic. 2.2. Geometry of Numbers. 2.3. Uniform Distribution of Sequences. 3: Linear Congruential Generators. 3.1. Lattice Structure. 3.2. Spectral Test. 3.3. Implementing Long-Period LCGs. 4: Beyond Linear Congruential Generators. 4.1. LCGs Using Polynomial Arithmetic. 4.2. LCGs Using Multiplicative Inversion. 4.3. Random Sequences in Cryptography. 5: Statistical Tests. 5.1. Description of Test Procedures. 5.2. Tests Using Non-Uniform Random Variate Generation. 6: Derandomization. 6.1. Low-Discrepancy Sequences. 6.2. K-wise Independent Random Variables. A: Sample C Routines. References Index.

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