Shot-noise Fano factor

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00081644" target="_blank" >RIV/00216224:14310/15:00081644 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevE.92.052135" target="_blank" >http://dx.doi.org/10.1103/PhysRevE.92.052135</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.92.052135" target="_blank" >10.1103/PhysRevE.92.052135</a>

Result language
angličtina
Original language name
Shot-noise Fano factor
Original language description
A variability measure of the times of uniform events based on a shot-noise process is proposed and studied. The measure is inspired by the Fano factor, which we generalize by considering the time-weighted influence of the events given by a shot-noise response function. The sequence of events is assumed to be an equilibrium renewal process, and based on this assumption we present formulas describing the behavior of the variability measure. The formulas are derived for a general response function, restricted only by some natural conditions, but the main focus is given to the shot noise with exponential decrease. The proposed measure is analyzed and compared with the Fano factor.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA15-06991S" target="_blank" >GA15-06991S: Functional data analysis and related topics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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