The pdf is $$f(x)=\frac{ab^a}{(x+b)^{a+1}}$$ for $x\geq0$ and some parameters $a,b$. I've come across it a couple of times in study material for the actuarial exams.
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This is just a power-law or Pareto distribution. The Wikipedia page says it is sometimes called a "Lomax distribution" when it is shifted to start at zero like in your case, but I wouldn't call that a significant distinction.
Erick Wong
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beautiful, thank you so much! – crf Aug 02 '13 at 03:41