Independent Random Sampling Methods Luca Martino 331972634X 9783319726342

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Product details:

• ISBN 10: 331972634X
• ISBN 13: 9783319726342
• Author: Luca Martino

This book systematically addresses the design and analysis of efficient techniques for independent random sampling. Both general-purpose approaches, which can be used to generate samples from arbitrary probability distributions, and tailored techniques, designed to efficiently address common real-world practical problems, are introduced and discussed in detail. In turn, the monograph presents fundamental results and methodologies in the field, elaborating and developing them into the latest techniques. The theory and methods are illustrated with a varied collection of examples, which are discussed in detail in the text and supplemented with ready-to-run computer code. The main problem addressed in the book is how to generate independent random samples from an arbitrary probability distribution with the weakest possible constraints or assumptions in a form suitable for practical implementation. The authors review the fundamental results and methods in the field, address the latest methods, and emphasize the links and interplay between ostensibly diverse techniques.

Table of contents:

1. Introduction

2. Direct Methods

3. Accept–Reject Methods

4. Adaptive Rejection Sampling Methods

5. Ratio of Uniforms

6. Independent Sampling for Multivariate Densities

7. Asymptotically Independent Samplers

8. Summary and Outlook

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