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Comparing continuous and discrete birthday coincidences : "Same-Day" versus "Within 24 Hours"

  • In its classical form the famous birthday problem (Feller 1968; Mosteller 1987) addresses coincidences within a discrete sample space, looking at births that fall on the same calendar day. However, coincidence phenomena often arise in situations in which it is more natural to consider a continuous-time parameter. We first describe an elementary variant of the classical problem in continuous time, and then derive and illustrate close approximate relations that exist between the discrete and the continuous formulations.

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Metadaten
Author:Wolf Schwarz
DOI:https://doi.org/10.1198/tast.2009.09003
ISSN:0003-1305
Document Type:Article
Language:English
Year of first Publication:2010
Year of Completion:2010
Release Date:2017/03/24
Source:American statistician. - ISSN 0003-1305. - 64 (2010), 1, S. 34 - 36
Organizational units:Humanwissenschaftliche Fakultät / Institut für Psychologie
Peer Review:Referiert