Abstract
The Concept of Probability: The Problem of Foundations. Truth, Possibility, and Probability. Probability Models. Principles of Inference and Decision. A Medical Example. Elements of Probability Theory: Probability Theory. Disjunctive Spaces. Elements of Infinitesimal Analysis. Integration. Probability Distributions. Hyperfinite Random Processes. Probability Models: Simple Probability Structures. The Structure of Chance. Equiprobability Structures. Probability Structures. Examples of Probability Structures. Logical Probability. Statistical Inference and Decision Theory: Classical Statistical Inference. Problems in Statistical Inference. Decision Theory. Appendix A: Foundations of Nonstandard Analysis. Appendix B: Extensions of Integrals and Measures. Bibliography.
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