Central limit theorems for multicolour urn models
- Urn models are simple examples for random growth processes that involve various competing types. In the study of these schemes, one is generally interested in the impact of the specific form of interaction on the allocation of elements to the types. Depending on their reciprocal action, effects of cancellation and self-reinforcement become apparent in the long run of the system. For some urn models, the influencing is of a smoothing nature and the asymptotic allocation to the types is close to being a result of independent and identically distributed growth events. On the contrary, for others, almost sure random tendencies or logarithmically periodic terms emerge in the second growth order. The present thesis is devoted to the derivation of central limit theorems in the latter case. For urns of this kind, we use a "non-classical" normalisation to derive asymptotic joint normality of the types. This normalisation takes random tendencies and phases into account and consequently involves random centering and, also, possibly random scaling.
Author: | Noela MüllerORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-453587 |
Place of publication: | Frankfurt am Main |
Referee: | Ralph NeiningerORCiDGND, Rudolf GrübelORCiDGND |
Document Type: | Doctoral Thesis |
Language: | English |
Date of Publication (online): | 2018/02/01 |
Year of first Publication: | 2017 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Granting Institution: | Johann Wolfgang Goethe-Universität |
Date of final exam: | 2017/09/22 |
Release Date: | 2018/01/11 |
Page Number: | 110 |
HeBIS-PPN: | 424756315 |
Institutes: | Informatik und Mathematik |
Dewey Decimal Classification: | 0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Deutsches Urheberrecht |