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The index of dispersion as a metric of quanta - unravelling the Fano factor

Fullagar, Wilfred K; Paziresh, Mahsa; Latham, Shane J; Myers, Glenn R; Kingston, Andrew M


In statistics, the index of dispersion (or variance-to-mean ratio) is unity (σ2/〈x〉 = 1) for a Poisson-distributed process with variance σ2 for a variable x that manifests as unit increments. Where x is a measure of some phenomenon, the index takes on a value proportional to the quanta that constitute the phenomenon. That outcome might thus be anticipated to apply for an enormously wide variety of applied measurements of quantum phenomena. However, in a photon-energy proportional radiation...[Show more]

CollectionsANU Research Publications
Date published: 2017-08
Type: Journal article
Source: Acta crystallographica Section B, Structural science, crystal engineering and materials
DOI: 10.1107/S2052520617009222
Access Rights: Open Access


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