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Majorization and the Birthday Inequality

It is known that the probability that at least two persons in a group have the same birthday, when the birthday distribution is not uniform, is no less than the probability when the distribution is uniform.

Old Node ID: 
1952
Author(s): 
M. Lawrence Clevenson (California State University Northridge) and William Watkins (California State University Northridge)
Publication Date: 
Friday, June 13, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
June, 1991
Subject(s): 
Statistics and Probability
Probability
Topic(s): 
Famous Problems, Birthday
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
31.00
Rating Sum: 
91.00
Rating Average: 
2.94
Author (old format): 
M. Lawrence Clevenson and William Watkins
Applicable Course(s): 
7.2 Probability
Modify Date: 
Sunday, August 26, 2012
2.95
Average: 3 (31 votes)

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