Computing under Interval Uncertainty: Traditional Approach Based on Uniform Distributions
Traditional statistical approach: main idea. In the case of interval uncertainty, we only know the intervals, we do not know the probability distributions on these intervals. The traditional statistical approach to situations in which we have several alternatives with unknown probabilities is to use Laplace Principle of Indifference, according to which,
if we have several possible alternatives,
and we have no information about the probability of different alternatives,
we assume all these probabilities to be equal.
KeywordsUniform Distribution Probability Density Function Lagrange Multiplier Central Limit Theorem Engineering Approach
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