FANO FACTOR ESTIMATION
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00080218" target="_blank" >RIV/00216224:14310/14:00080218 - isvavai.cz</a>
Alternative codes found
RIV/67985823:_____/14:00428272
Result on the web
<a href="http://dx.doi.org/10.3934/mbe.2014.11.105" target="_blank" >http://dx.doi.org/10.3934/mbe.2014.11.105</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/mbe.2014.11.105" target="_blank" >10.3934/mbe.2014.11.105</a>
Alternative languages
Result language
angličtina
Original language name
FANO FACTOR ESTIMATION
Original language description
Fano factor is one of the most widely used measures of variability of spike trains. Its standard estimator is the ratio of sample variance to sample mean of spike counts observed in a time window and the quality of the estimator strongly depends on the length of the window. We investigate this dependence under the assumption that the spike train behaves as an equilibrium renewal process. It is shown what characteristics of the spike train have large effect on the estimator bias. Namely, the effect of refractory period is analytically evaluated. Next, we create an approximate asymptotic formula for the mean square error of the estimator, which can also be used to find minimum of the error in estimation from single spike trains. The accuracy of the Fanofactor estimator is compared with the accuracy of the estimator based on the squared coefficient of variation. All the results are illustrated for spike trains with gamma and inverse Gaussian probability distributions of interspike interv
Czech name
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Czech description
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Classification
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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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Biosciences and Engineering
ISSN
1547-1063
e-ISSN
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Volume of the periodical
11
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
105-123
UT code for WoS article
000326979900008
EID of the result in the Scopus database
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