Mean and dispersion of harmonic measure
Sirio Legramanti
TL;DR
This paper derives exact formulas for the mean and covariance trace of harmonic measure, enhancing understanding of its statistical properties as a parametric probability distribution.
Contribution
It introduces precise formulas for the mean and covariance of harmonic measure, a novel contribution to its probabilistic analysis.
Findings
Exact formulas for the mean of harmonic measure.
Explicit trace formulas for the covariance matrix.
Improved understanding of harmonic measure's distributional properties.
Abstract
In this note, we provide and prove exact formulas for the mean and the trace of the covariance matrix of harmonic measure, regarded as a parametric probability distribution.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Statistical Mechanics and Entropy · Target Tracking and Data Fusion in Sensor Networks