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Stable distribution in application to fixational eye movement description

Szmigiel Marta, Grzesiek Aleksandra, Wyłomańska Agnieszka, Kasprzak Henryk

Optica Applicata

2019

Vol. 49, nr 2

365--377

To give an appropriate description of fixational eye movements is a very challenging problem. Over the years authors tried to describe the movements through different methods. The time series of the movements exhibit very characteristic behavior, which is the visible impulses. This may suggest the heavy-tailed distribution behind the data. In this paper on stochastic description of fixational eye movements, the α-stable distribution as the most important member of heavy-tailed family of distributions is proposed. The fixational eye movements together with head movement of both eyes of eight healthy subjects were measured and recorded by use of own designed optical system. Further analysis of changes in position of the pupil center in two-dimensional plane was performed. It was shown that head movement has very small impact on values of stability parameter α of fixational eye movements. The α-stable based analysis can be useful in better understanding of the character of the eye globe dynamics.