TY  - JOUR
A1  - Bettenbühl, Mario
A1  - Rusconi, Marco
A1  - Engbert, Ralf
A1  - Holschneider, Matthias
T1  - Bayesian selection of Markov Models for symbol sequences  application to microsaccadic eye movements
JF  - PLoS one
N2  - Complex biological dynamics often generate sequences of discrete events which can be described as a Markov process. The order of the underlying Markovian stochastic process is fundamental for characterizing statistical dependencies within sequences. As an example for this class of biological systems, we investigate the Markov order of sequences of microsaccadic eye movements from human observers. We calculate the integrated likelihood of a given sequence for various orders of the Markov process and use this in a Bayesian framework for statistical inference on the Markov order. Our analysis shows that data from most participants are best explained by a first-order Markov process. This is compatible with recent findings of a statistical coupling of subsequent microsaccade orientations. Our method might prove to be useful for a broad class of biological systems.
Y1  - 2012
U6  - https://doi.org/10.1371/journal.pone.0043388
SN  - 1932-6203
VL  - 7
IS  - 9
PB  - PLoS
CY  - San Fransisco
ER  - 
TY  - JOUR
A1  - Makarava, Natallia
A1  - Bettenbühl, Mario
A1  - Engbert, Ralf
A1  - Holschneider, Matthias
T1  - Bayesian estimation of the scaling parameter of fixational eye movements
JF  - epl : a letters journal exploring the frontiers of physics
N2  - In this study we re-evaluate the estimation of the self-similarity exponent of fixational eye movements using Bayesian theory. Our analysis is based on a subsampling decomposition, which permits an analysis of the signal up to some scale factor. We demonstrate that our approach can be applied to simulated data from mathematical models of fixational eye movements to distinguish the models' properties reliably.
Y1  - 2012
U6  - https://doi.org/10.1209/0295-5075/100/40003
SN  - 0295-5075
VL  - 100
IS  - 4
PB  - EDP Sciences
CY  - Mulhouse
ER  -