Digital dice : computational solutions to practical probability problems /

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Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number generator simulates a physical process, such as a million rolls of a pair of dice....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nahin, Paul J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. ; Oxford : Princeton University Press, ©2013.
Edición:[Pbk. ed.].
Temas:
MATLAB.
MATLAB
Probabilities > Problems, exercises, etc.
Probabilities > Data processing.
Algorithms.
Computer algorithms.
Probabilités > Problèmes et exercices.
Probabilités > Informatique.
Algorithmes.
algorithms.
MATHEMATICS > Probability & Statistics > General.
MATHEMATICS > Recreations & Games.
Computer algorithms
Algorithms
Probabilities
Probabilities > Data processing
Computermathematik
Wahrscheinlichkeitsrechnung
Mathematics.
Physical Sciences & Mathematics.
Mathematical Statistics.
Problems and exercises
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Title; Copyright; Dedication; Comments on Probability and Monte Carlo; Contents; Preface to the Paperback Edition; Introduction; The Problems; 1. The Clumsy Dishwasher Problem; 2. Will Lil and Bill Meet at the Malt Shop?; 3. A Parallel Parking Question; 4. A Curious Coin-Flipping Game; 5. The Gamow-Stern Elevator Puzzle; 6. Steve's Elevator Problem; 7. The Pipe Smoker's Discovery; 8. A Toilet Paper Dilemma; 9. The Forgetful Burglar Problem; 10. The Umbrella Quandary; 11. The Case of the Missing Senators; 12. How Many Runners in a Marathon?; 13. A Police Patrol Problem
  • 14. Parrondo's Paradox 15. How Long Is the Wait to Get the Potato Salad?; 16. The Appeals Court Paradox; 17. Waiting for Buses; 18. Waiting for Stoplights; 19. Electing Emperors and Popes; 20. An Optimal Stopping Problem; 21. Chain Reactions, Branching Processes, and Baby Boys; MATLAB Solutions To The Problems; 1. The Clumsy Dishwasher Problem; 2. Will Lil and Bill Meet at the Malt Shop?; 3. A Parallel Parking Question; 4. A Curious Coin-Flipping Game; 5. The Gamow-Stern Elevator Puzzle; 6. Steve's Elevator Problem; 7. The Pipe Smoker's Discovery; 8. A Toilet Paper Dilemma
  • 9. The Forgetful Burglar Problem 10. The Umbrella Quandary; 11. The Case of the Missing Senators; 12. How Many Runners in a Marathon?; 13. A Police Patrol Problem; 14. Parrondo's Paradox; 15. How Long is the Wait to Get the Potato Salad?; 16. The Appeals Court Paradox; 17. Waiting for Buses; 18. Waiting for Stoplights; 19. Electing Emperors and Popes; 20. An Optimal Stopping Problem; 21. Chain Reactions, Branching Processes, and Baby Boys; Appendix 1. One Way to Guess on a Test; Appendix 2. An Example of Variance-Reduction in the Monte Carlo Method; Appendix 3. Random Harmonic Sums
  • Appendix 4. Solving Montmort's Problem by Recursion Appendix 5. An Illustration of the Inclusion-Exclusion Principle; Appendix 6. Solutions to the Spin Game; Appendix 7. How to Simulate Kelvin's Fair Coin with a Biased Coin; Appendix 8. How to Simulate an Exponential Random Variable; Appendix 9. Index to Author-Created MATLAB m-Files in the Book; Glossary; Acknowledgments; Index; Also by Paul J. Nahin

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