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Subsampling estimates of the Lasso distribution.

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Acknowledgement<br />

First and foremost, I want to thank my supervisor Pr<strong>of</strong>. Dr. Peter Bühlmann for <strong>the</strong><br />

excellent guidance and for introducing me with this fascinating topic. The interest he<br />

demonstrated for my work has been a great source <strong>of</strong> motivation.<br />

I want to express my gratitude to Pr<strong>of</strong>. Dr. Sara Van de Geer <strong>of</strong> <strong>the</strong> Seminar for Statistics<br />

and to Dr. Michel Baes <strong>of</strong> <strong>the</strong> Insitute for Operational Research for taking <strong>the</strong> time to<br />

answer my questions. Also, I thank David Lamparter for many interesting discussions on<br />

<strong>the</strong> <strong>Lasso</strong>.<br />

Finally, writing this <strong>the</strong>sis would not have been possible without <strong>the</strong> friendly atmosphere<br />

at <strong>the</strong> Seminar for Statistics. I would like to thank all staff members and <strong>the</strong> assistants for<br />

helping me with ma<strong>the</strong>matical or editing issues. To Sarah Gerster and Jürg Schelldorfer,<br />

a huge thanks for <strong>the</strong> hospitality in <strong>the</strong> <strong>of</strong>fice.<br />

iii

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