|  | Gorroochurn, Prakash
Classic Problems of Probability
 1. Auflage Juli 2012
53,90 Euro
2012. 320 Seiten, Softcover
ISBN 978-1-118-06325-5 - John Wiley & Sons
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| Kurzbeschreibung
Providing insight into one of the most fascinating and unique subjects in statistics, this book examines classic problems of probability that have both contributed to the field and have been of historical significance, including Parrondo's Amazing Paradox, Laplace's Rule of Succession, and Jacob Bernoulli and His Golden Theorem. The coverage features detailed history on the subject as well as concise solutions and alternative interpretations. This innovative reference contains all of the core topics typically found in an undergraduate course, providing a valuable resource for students and those interested in the history of probability.
Aus dem Inhalt
Preface 3
Problem 1. Cardano and Games of Chance (1564) 8
Problem 2. Gailieo and a Discovery Concerning Dice (1620) 15
Problem 3. The Chevalier de Méré Problem I: The Problem of Dice (1654) 17
Problem 4. The Chevalier de Méré Problem II: The Problem of Points (1654) 22
Problem 5. Huygens and the Gambler's Ruin (1657) 39
Problem 6. The Pepys-Newton Connection (1693) 47
Problem 7. Rencontres with Montmort (1708) 50
Problem 8. Jacob Bernoulli and his Golden Theorem (1713) 54
Problem 9. De Moivre's Problem (1730) 71
Problem 10. De Moivre, Gauss, and the Normal Curve (1730, 1809) 79
Problem 11. Daniel Bernoulli and the St Petersburg Problem (1738) 94
Problem 12. D'Alembert and the "Croix ou Pile" Article (1754) 102
Problem 13. D'Alembert and the Gambler's Fallacy (1761) 105
Problem 14. Bayes, Laplace, and Philosophies of Probability (1764, 1774) 109
Problem 15. Leibniz's Error (1768) 132
Problem 16. The Buffon Needle Problem (1777) 134
Problem 17. Bertrand's Ballot Problem (1887) 143
Problem 18. Bertrand's Strange Three Boxes (1889) 147
Problem 19. Bertrand's Chords (1889) 151
Problem 20. Three Coins and a Puzzle from Galton (1894) 156
Problem 21. Lewis Carroll's Pillow Problem No. 72 (1894) 157
Problem 22. Borel and A Different Kind of Normality (1909) 161
Problem 23. Borel's Paradox and Kolmogorov's Axioms (1909, 1933) 165
Problem 24. Of Borel, Monkeys, and the New Creationism (1913) 173
Problem 25. Kraitchik's Neckties and Newcomb's Problem (1930, 1960)
Problem 26. Fisher and the lady Tasting Tea (1935) 188
Problem 27. Benford and the Peculiar Behavior of the First Significant Digit (1938) 195
Problem 28. Coinciding Birthdays (1939) 200
Problem 29. Lévy and the Arc Sine Law (1939) 206
Problem 30. Simpson's Paradox (1951) 210
Problem 31. Gamow, Stern, and Elevators (1958) 215
Problem 32. Monty-Hall, Cars, and Goats (1975) 218
Problem 33. Parrondo's Perplexing Paradox (1996) 224
Bibliography 230
Photo Credits 254
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