A solution to the generalized birthday problem with application to allozyme screening for cell culture contamination
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This paper gives the probability that no common allozyme signature is found among n randomly selected cell culture lines when the s mutually exclusive and exhaustive signatures have arbitrary known probabilities. This result is useful in detecting cell culture contamination by a single cell line. This problem is a generalization of the classic problem of finding the probability of no common birthday among n individuals when it is assumed that each individual has a chance 1/s = 1/365 of a birthday on a given day. Both an exact recursive solution and an approximate solution are given for the general problem.
1979 ◽
Vol 16
(02)
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pp. 242-251
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2014 ◽
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2009 ◽
Vol 133
(9)
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pp. 1463-1467
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2019 ◽
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2021 ◽
Vol 32
(1)
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