doi:10.5194/bg-7-3839-2010

I declare that this thesis is my own account of my research and contains as its main content work which has not previously been submitted for a degree at any tertiary education institution.

den angegebenen Quellen und Hilfsmitteln angefertigt zu haben. Alle Stellen, die aus Quellen entnommen wurden, sind als solche kenntlich gemacht. Diese Arbeit hat in gleicher oder ähnlicher Form noch keiner Prüfungsbehörde vorgelegen. Darmstadt, den 15.01.2013

Abstract. We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of such self-propelled entities in the framework

. Additionally, a spatial averaging algorithm for measured fields we developed in a previous publication is tested on new data. The human model was positioned at distances where measured values of magnetic flux density were above the reference levels. All human exposure was below the basic restriction—the lower

that utilizes site-wise daily records in addition to block maxima. Besides the parameter estimation, there is no formal model checking and diagnosis method for spatial extremes modeling yet. Model diagnosis in practice has been informal and mostly based on visual checking tools such as residual plot

Abstract not found

composite likelihood function. The efficiency of the proposed method is assessed on an extensive set of simulated data. It is shown, in particular, that the method is able to describe the extremal behavior of several common time series models with regular or irregular time sampling. The method is then used

Public reporting burden for this collection of Information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send

As this master thesis marks the end of my studies at Delft University of Technology, I would like to use this opportunity and thank everyone who has influenced my two-year journey. Those last two years have not been easy. In fact, it has been the most challenging, stressful, and at the same time- the most inspiring, productive, and exciting journey. Journey, which has completely changed my life and has prepared me for new challenges and opportunities. I owe a very special debt to the ex president of Georgia – Mikheil Saakashvili, for initiating a scholarship program for Georgian students abroad, willing to pursue master’s degree. I would like to thank Mr. Saakashvili for giving me a chance to be one of those students, and for fully sponsoring my studies at TU Delft. I must express special gratitude to my graduation committee for being way more supportive then I could ever imagine. I would like to thank them for all their feedback, support, and encouragement, for being very understanding, and shortly, for making it possible for me to finalize my thesis and to graduate. I would like to acknowledge the selfless help and support of my supervisor – Dr. Huib Aldewereld. His guidance and support encouraged me to be motivated and to keep working on the thesis. I would like to thank him for all his time that he has spent on reading my thesis, on giving me direct comments, and further motivation. I had times when I felt lost in my own thesis, and I was ready to give up, but Dr. Aldewereld always managed to encourage and motivate me. I would like to thank him for arranging meetings (lots of meetings) with me to discuss my progress, whenever I asked for it, despite his very