3
votes
1answer
120 views

Expectation of CauchyDistribution

I've noticed this strange behavior and I'm wondering if it's a bug. I define a Cauchy distribution: c = CauchyDistribution[0, 1]; If I evaluate ...
13
votes
1answer
288 views

RandomVariate returns values outside the support of a PDF

Let $X$ be a random variable with pdf: dist = ProbabilityDistribution[1/(Abs[x]*Log[Abs[x]]^2), {x, -E^-2, E^-2}] Here are some pseudo-random drawings from it: ...
12
votes
1answer
386 views

How to compute the inverse CDF properly?

I want to compute the CDF and inverse CDF of the hyperbolic distribution: α = 2; β = 3/2; x = -3; u = N[CDF[HyperbolicDistribution[α, β, 1, 0], x], 30] The ...