Three-Dimensional Geometric Moment Space Bounds with Applications to Problems in Communication Theory.

摘要

The solution to many problems in communication theory takes the form of a moment of a function of a random variable. Often this moment is difficult to evaluate numerically. When this is the case, tight bounds to the true value are sought that are relatively easy to evaluate. One method of deriving such bounds is a geometrical technique that is a result of an Isomorphism Theorem from Game Theory. Recently very useful bounds have been derived with this technique using two-dimensional geometries. This report extends this work into a useful class of three-dimensional geometries. This class of geometrices can produce very tight bounds with a reasonable amount of effort. (Author)