| 21. | The characteristic function representation for the wrapped Cauchy distribution in the left side of the integral is:
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| 22. | A " t " statistic generated from data set drawn from a Cauchy distribution is bimodal.
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| 23. | Important special cases of stable distributions are the normal distribution, the Cauchy distribution and the L�vy distribution.
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| 24. | Since the Cauchy distribution is a stable distribution, the log-Cauchy distribution is a logstable distribution.
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| 25. | Since the Cauchy distribution is a stable distribution, the log-Cauchy distribution is a logstable distribution.
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| 26. | An example where the law of large numbers does " not " apply is the Cauchy distribution.
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| 27. | But in the case of the Cauchy distribution, both the positive and negative terms of ( 2 ) are infinite.
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| 28. | The expected value does not exist for random variables having some large " tails ", such as the Cauchy distribution.
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| 29. | There exist elliptical distributions that have undefined mean, such as the Cauchy distribution ( even in the univariate case ).
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| 30. | Neither the normal distribution nor the ratio distribution of two normal distributions ( the Cauchy distribution ) obey Benford's law.
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