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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 43004 (02)
- University: Sharif University of technology
- Department: Mathematical Sciences
- Advisor(s): Alishahi, Kasra
- Abstract:
- We can note to at least four very different interpretations of probability that have become popular in the twentieth century. These interpretations are as follows:1. Logical theory: According to this theory, the probability of each event will be equal to the degree of rational belief in that event. In addition, these rational beliefs are assumed to be equal for each individual in the same situation. This is the difference between logical theory and subjective theory.2. Subjective theory: as mentioned, in Subjective theory like Logical theory, probability of an event equals to degree of rational belief in that event, except that Subjective theory allows the differences between the beliefs even in the same situation.
3. Frequency theory: Having a long string of similar events have occurred, Frequency theory considers the probability of each outcome to be equal to the frequency of occurrence of that outcome in the string, i.e. the number of events that the outcome has occurred in, relative to the total number of events.4. Propensity theory: In this interpretation we think of probability as a propensity, or disposition, or tendency of a given type of situation to yield an outcome of a certain kind, or to yield a long run relative frequency of such an outcome - Keywords:
- Probability Theory ; Analytical Interpretation ; Logical Theory ; Propensity Theory ; Frequency Theory ; Subjective Theory
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