Central limit theorems for empirical product densities of stationary point processes [Elektronische Ressource] / von Stella Veronica David

Central limit theoremsfor empirical product densitiesof stationary point processesDissertationzur Erlangung des Doktorgradesder Mathematisch-Naturwissenschaftlichen Fakulta¨tder Universita¨t AugsburgvonStella Veronica DavidJuli 2008Erstgutachter: Professor Dr. Lothar Heinrich, Universita¨t AugsburgZweitgutachter: Professor Dr. Volker Schmidt, Universita¨t UlmTag der mu¨ndlichen Pru¨fung: 22. Dezember 2008AcknowledgementsWriting this dissertation would not have been possible without the help of manypeopletowhomIwouldlike toexpressmygratitude. FirstandforemostIwouldliketo thank my supervisor Professor Dr. Lothar Heinrich for suggesting this interestingtopic, his guidance, and the hours we spent discussing my questions. I am deeplyindebted to him for his constant support and encouragement. I am very grateful toProfessor Dr. Volker Schmidt for fruitful discussions and for being a referee for thisthesis. I am also much obliged to Professor Dr. Friedrich Pukelsheim for his interestin my work and for encouraging me through the time of my studies. I would like tothank my dear colleagues for an inspiring and friendly atmosphere. In particular Iwish to thank Dr. habil. Ute Hahn for arousing my interest in point processes andfor lively discussions.