I would like to thank my supervisor, Professor Stephan Morgenthaler, for having given me the opportunity to pursue my doctoral studies at EPFL and then being my mentor in academia. In these past four years, he has not only been my thesis advisor but also part of my support system that has made my stay here in Switzerland so comfortable and fruitful. While his guidance and encouragement have made this thesis possible in the first place, his warm and friendly outlook has made this long journey so much more pleasant and memorable. From Stephan I have learnt more about, not only Statistics, but also patience, compassion and a myriad of other aspects of life. While this knowledge of Statistics will be part of my professional life forever and I am extremely grateful to Stephan for it, it is the better understanding of various aspects of life that have enriched my personal life for which I will be indebted to Stephan forever. I would also like to thank Professor Anthony Davison, Professor Olivier Renaud and Professor Stefan Van Aelst for agreeing to be members of the defense jury and Professor John Maddocks for presiding over as the jury president. Coming back to that support system, I would like to thank Anne-Lise Courvoisier for her support and immense help right from my very first day in Switzerland. I’d like to thank my past and present colleagues and friends from EPFL: Andreas
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