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