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9 (p1): Part I FOUNDATIONS11 (p1-1): Chapter 1.Historical Introduction11 (p1-1-1): 1.Origin of mathematical probability theory.13 (p1-1-2): 2.Probability and experience.14 (p1-1-3): 3.Defects of the classical definition.16 (p1-1-4): 4.Generalization of the probability concept.18 (p1-1-5): 5.Applications.19 (p1-1-6): 6.Critical revision of foundations.21 (p1-2): Chapter 2.Definition of Mathematical Probability21 (p1-2-1): 1.Mathematical models.22 (p1-2-2): 2.Random experiments.26 (p1-2-3): 3.Frequency ratios and mathematical probabilities.29 (p1-3): Chapter 3.Elementary Rules of Calculation for Probabilities29 (p1-3-1): 1.Some simple properties of mathematical probability.30 (p1-3-2): 2.The addition rule.33 (p1-3-3): 3.Three fundamental propositions.35 (p1-3-4): 4.Conditional probabilities and the multiplication rule.37 (p1-3-5): 5.Independent events.38 (p1-3-6): 6.Bayes' theorem.40 (p1-3-7): 7.Problems.42 (p1-4): Chapter 4.Some Applications of the Fundamental Theorems42 (p1-4-1): 1.Repeated observations.45 (p1-4-2): 2.Drawings with and without replacement.49 (p1-4-3): 3.Some further problems on games of chance.52 (p1-4-4): 4.Problems.55 (p2): Part II RANDOM VARIABLES AND PROBABILIT

Author

Harald Cramer

Publisher

John Wiley & Sons,INC.

Published

1955

Language

EN