Random Number Generation and Monte Carlo Methods:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
2003
|
Ausgabe: | Second Edition |
Schriftenreihe: | Statistics and Computing
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Monte Carlo simulation has become one of the most important tools in all fields of science. Simulation methodology relies on a good source of numbers that appear to be random. These "pseudorandom" numbers must pass statistical tests just as random samples would. Methods for producing pseudorandom numbers and transforming those numbers to simulate samples from various distributions are among the most important topics in statistical computing. This book surveys techniques of random number generation and the use of random numbers in Monte Carlo simulation. The book covers basic principles, as well as newer methods such as parallel random number generation, nonlinear congruential generators, quasi Monte Carlo methods, and Markov chain Monte Carlo. The best methods for generating random variates from the standard distributions are presented, but also general techniques useful in more complicated models and in novel settings are described. The emphasis throughout the book is on practical methods that work well in current computing environments. The book includes exercises and can be used as a test or supplementary text for various courses in modern statistics. It could serve as the primary test for a specialized course in statistical computing, or as a supplementary text for a course in computational statistics and other areas of modern statistics that rely on simulation. The book, which covers recent developments in the field, could also serve as a useful reference for practitioners. Although some familiarity with probability and statistics is assumed, the book is accessible to a broad audience. The second edition is approximately 50% longer than the first edition. It includes advances in methods for parallel random number generation, universal methods for generation of nonuniform variates, perfect sampling, and software for random number generation |
Beschreibung: | 1 Online-Ressource (XVI, 382 p) |
ISBN: | 9780387216102 9780387001784 |
ISSN: | 1431-8784 |
DOI: | 10.1007/b97336 |
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author | Gentle, James E. 1943- |
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discipline | Mathematik |
doi_str_mv | 10.1007/b97336 |
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indexdate | 2024-07-10T01:21:03Z |
institution | BVB |
isbn | 9780387216102 9780387001784 |
issn | 1431-8784 |
language | English |
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spelling | Gentle, James E. 1943- Verfasser (DE-588)126727031 aut Random Number Generation and Monte Carlo Methods by James E. Gentle Second Edition New York, NY Springer New York 2003 1 Online-Ressource (XVI, 382 p) txt rdacontent c rdamedia cr rdacarrier Statistics and Computing 1431-8784 Monte Carlo simulation has become one of the most important tools in all fields of science. Simulation methodology relies on a good source of numbers that appear to be random. These "pseudorandom" numbers must pass statistical tests just as random samples would. Methods for producing pseudorandom numbers and transforming those numbers to simulate samples from various distributions are among the most important topics in statistical computing. This book surveys techniques of random number generation and the use of random numbers in Monte Carlo simulation. The book covers basic principles, as well as newer methods such as parallel random number generation, nonlinear congruential generators, quasi Monte Carlo methods, and Markov chain Monte Carlo. The best methods for generating random variates from the standard distributions are presented, but also general techniques useful in more complicated models and in novel settings are described. The emphasis throughout the book is on practical methods that work well in current computing environments. The book includes exercises and can be used as a test or supplementary text for various courses in modern statistics. It could serve as the primary test for a specialized course in statistical computing, or as a supplementary text for a course in computational statistics and other areas of modern statistics that rely on simulation. The book, which covers recent developments in the field, could also serve as a useful reference for practitioners. Although some familiarity with probability and statistics is assumed, the book is accessible to a broad audience. The second edition is approximately 50% longer than the first edition. It includes advances in methods for parallel random number generation, universal methods for generation of nonuniform variates, perfect sampling, and software for random number generation Statistics Numerical analysis Mathematical statistics Statistics and Computing/Statistics Programs Numerical Analysis Statistik Monte-Carlo-Simulation (DE-588)4240945-7 gnd rswk-swf Zufallsgenerator (DE-588)4191097-7 gnd rswk-swf Monte-Carlo-Simulation (DE-588)4240945-7 s Zufallsgenerator (DE-588)4191097-7 s 1\p DE-604 https://doi.org/10.1007/b97336 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Gentle, James E. 1943- Random Number Generation and Monte Carlo Methods Statistics Numerical analysis Mathematical statistics Statistics and Computing/Statistics Programs Numerical Analysis Statistik Monte-Carlo-Simulation (DE-588)4240945-7 gnd Zufallsgenerator (DE-588)4191097-7 gnd |
subject_GND | (DE-588)4240945-7 (DE-588)4191097-7 |
title | Random Number Generation and Monte Carlo Methods |
title_auth | Random Number Generation and Monte Carlo Methods |
title_exact_search | Random Number Generation and Monte Carlo Methods |
title_full | Random Number Generation and Monte Carlo Methods by James E. Gentle |
title_fullStr | Random Number Generation and Monte Carlo Methods by James E. Gentle |
title_full_unstemmed | Random Number Generation and Monte Carlo Methods by James E. Gentle |
title_short | Random Number Generation and Monte Carlo Methods |
title_sort | random number generation and monte carlo methods |
topic | Statistics Numerical analysis Mathematical statistics Statistics and Computing/Statistics Programs Numerical Analysis Statistik Monte-Carlo-Simulation (DE-588)4240945-7 gnd Zufallsgenerator (DE-588)4191097-7 gnd |
topic_facet | Statistics Numerical analysis Mathematical statistics Statistics and Computing/Statistics Programs Numerical Analysis Statistik Monte-Carlo-Simulation Zufallsgenerator |
url | https://doi.org/10.1007/b97336 |
work_keys_str_mv | AT gentlejamese randomnumbergenerationandmontecarlomethods |