About: FANO FACTOR ESTIMATION

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 Fano factor 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 intervals. 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 Fano factor 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 intervals. (en)
Title	FANO FACTOR ESTIMATION FANO FACTOR ESTIMATION (en)
skos:prefLabel	FANO FACTOR ESTIMATION FANO FACTOR ESTIMATION (en)
skos:notation	RIV/00216224:14310/14:00080218!RIV15-MSM-14310___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP103/11/0282), P(GBP304/12/G069)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Rajdl, Kamil
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	16456
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/14:00080218
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Fano factor; estimation; renewal process; mean square error; refractory period (en)
http://linked.open.../riv/klicoveSlovo	estimation mean square error renewal process Fano factor refractory period
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[122BDA260D9A]
http://linked.open...i/riv/nazevZdroje	Mathematical Biosciences and Engineering
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Project of excellence in the field of neuroscience The role of noise in neuronal information processing
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	11
http://linked.open...iv/tvurceVysledku	Lánský, Petr Rajdl, Kamil
http://linked.open...ain/vavai/riv/wos	000326979900008
issn	1547-1063
number of pages	19 (xsd:int)
http://bibframe.org/vocab/doi	10.3934/mbe.2014.11.105
http://localhost/t...ganizacniJednotka	14310

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