Fuzzy Probability Distributions
2004
Consider as starting point a soccer match of two different teams M 1and M 2 (compare [1]). In this situation three different outcomes are possible: Team M 1 wins (event {a}), team M 2 wins (event {b}) or the match ends in a draw (event x{c}). For none of the three outcomes it is possible to know the exact probabilities, therefore the probabilities are estimated (by using old results), or they are provided by experts. Because of the unavoidable uncertainties in the assessment of the probabilities, it seems to be more realistic to model this estimations by using fuzzy numbers, or, in the simplest case, using intervals.
Keywords:
- Statistics
- Probability distribution
- M.2
- Regular conditional probability
- Mathematics
- Fuzzy number
- Empirical probability
- Algebra of random variables
- Total variation distance of probability measures
- Location parameter
- Discrete mathematics
- Convolution of probability distributions
- Sufficient statistic
- Joint probability distribution
- Correction
- Source
- Cite
- Save
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