What is the Inverse CDF of Wrapped Cauchy Distribution?

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SUMMARY

The discussion focuses on calculating the inverse CDF of the Wrapped Cauchy Distribution using Mathematica. The user expresses difficulty due to a lack of statistical knowledge. Another participant suggests that for simulation purposes, generating a Cauchy random variable and taking the remainder mod 1 may suffice, indicating that an explicit inverse CDF may not be necessary for all applications.

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KonstantinosS
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I'm trying to calculate the inverse CDF of wrapped Cauchy distribution using Mathematica but it gets me nowhere. Probably i lack all the needed knowledge to do so (still a freshman with no statistics experience so far). Any help would be appreciated.

Thanks,
 
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Did you manage to find an expression for the CDF?

Depending on the application you might not need the explicit inverse CDF, e.g. for simulation you could just generate a Cauchy r.v. and take the remainder mod 1.
 

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