Meta Distributions—Part 2: Properties and Interpretations
Martin Haenggi
Abstract
In the companion letter (Part 1), we have defined and exemplified meta distributions (MDs) as a natural extension of the concepts of the mean and distribution of a random variable. Here we provide an in-depth discussion of the properties and interpretations of MDs. It includes original results on the calculation of MDs in the monotone case and two applications to simple Poisson wireless networks models.
Topics & Concepts
Poisson distributionExtension (predicate logic)Computer scienceSimple (philosophy)Random variableMonotone polygonMathematicsTheoretical computer scienceStatisticsGeometryProgramming languagePhilosophyEpistemologyAdvanced MIMO Systems OptimizationRandom Matrices and ApplicationsBayesian Methods and Mixture Models