Foundations of Probability Theory
- Probability theory
- Probability space
- Sample space
- Standard probability space
- Random element
- Random compact set
- Dynkin system
- Probability axioms
- Normalizing constant
- Event (probability theory)
- Complementary event
- Elementary event
- Mutually exclusive
- Boole's inequality
- Probability density function
- Cumulative distribution function
- Law of total cumulance
- Law of total expectation
- Law of total probability
- Law of total variance
- Almost surely
- Cox's theorem
- Bayesianism
- Prior probability
- Posterior probability
- Borel's paradox
- Bertrand's paradox
- Coherence (philosophical gambling strategy)
- Dutch book
- Algebra of random variables
- Belief propagation
- Transferable belief model
- Dempster-Shafer theory
- Possibility theory
Read more about this topic: List Of Probability Topics
Famous quotes containing the words foundations of, foundations, probability and/or theory:
“Vary the pace ... is one of the foundations of all good acting.”
—Ellen Terry (1847–1928)
“The world must be made safe for democracy. Its peace must be planted upon the tested foundations of political liberty.”
—Woodrow Wilson (1856–1924)
“The probability of learning something unusual from a newspaper is far greater than that of experiencing it; in other words, it is in the realm of the abstract that the more important things happen in these times, and it is the unimportant that happens in real life.”
—Robert Musil (1880–1942)
“Everything to which we concede existence is a posit from the standpoint of a description of the theory-building process, and simultaneously real from the standpoint of the theory that is being built. Nor let us look down on the standpoint of the theory as make-believe; for we can never do better than occupy the standpoint of some theory or other, the best we can muster at the time.”
—Willard Van Orman Quine (b. 1908)