Statistic on particles with Lévy process

Adrien Rosselet

Semester Project

Section of MIcrotechnics, EPFL

July 2012

Abstract

The aim of this project was to find the law of probability which best represent different type of movement. In a first time, an algorithm to find parameters of alpha-stable probability law was created and then some tests on real data were effected. We try to apply this probability law for spermatozoid movement but the movement was not iid. So we try with particles in optical tweezers and we find that the movement was Gaussian.