Information of Joint and Marginal Probability Distributions

Abstract

The paper in the first place reviews the information and the uncertainty measures of joint and marginal probability distributions of the sets and subsets of random events. Next it reminds on the relations of the unconditional and conditional entropy of joint and marginal distributions and their combinations. Then it elaborates the ways how these measures can be applied in the sea surface uncertainty evaluation, that is, how to gain the information from the wave properties visually observed and brought together in the global wave statistics. Furthermore, the examples offered demonstrate the computational procedures for the sea surface uncertainty evaluation and prospective usefulness of the information obtainable from the joint and marginal distributions of observed explicit and combined wave properties.