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| Main Author: | |
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| Format: | Preprint |
| Published: |
2003
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0304028 |
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| _version_ | 1866914099513786368 |
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| author | Tsaban, Boaz |
| author_facet | Tsaban, Boaz |
| contents | A birthday surprise is the event that, given k uniformly random samples from a sample space of size n, at least two of them are identical. We show that Bernoulli numbers can be used to derive arbitrarily exact bounds on the probability of a birthday surprise. This result can be used in arbitrary precision calculators, and it can be applied to better understand some questions in communication security and pseudorandom number generation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0304028 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Bernoulli numbers and the probability of a birthday surprise Tsaban, Boaz Numerical Analysis Number Theory Optimization and Control Probability 65D15 A birthday surprise is the event that, given k uniformly random samples from a sample space of size n, at least two of them are identical. We show that Bernoulli numbers can be used to derive arbitrarily exact bounds on the probability of a birthday surprise. This result can be used in arbitrary precision calculators, and it can be applied to better understand some questions in communication security and pseudorandom number generation. |
| title | Bernoulli numbers and the probability of a birthday surprise |
| topic | Numerical Analysis Number Theory Optimization and Control Probability 65D15 |
| url | https://arxiv.org/abs/math/0304028 |