| 11. | In this connection, see also McCullagh's parametrization of the Cauchy distributions.
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| 12. | The log-likelihood function for the Cauchy distribution for sample size n is:
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| 13. | For example, suppose " X " has a standard Cauchy distribution.
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| 14. | This is the first direct appearance of the Cauchy distribution in the academic literature.
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| 15. | For the symmetric Cauchy process, the associated probability distribution is the Cauchy distribution.
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| 16. | Not every probability distribution has a defined mean; see the Cauchy distribution for an example.
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| 17. | For example, the standard Cauchy distribution has undefined variance, but its MAD is 1.
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| 18. | This is due to the fact that the Cauchy distribution has no defined variance to minimize.
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| 19. | It is a useful distribution in this context because it has pathological as the Cauchy distribution.
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| 20. | The Cauchy distribution is also symmetric.
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