# Is there a name for this simple discrete distribution? [duplicate]

I'm just wondering if there's a name for the distribution described by the following p.m.f.:

$$p(n) = n(1-s)^{n-1}s^2$$

where $$n$$ is an integer from $$1$$ to $$\infty$$ and $$0\lt s\lt1$$.

• I suppose a name matters if you want to learn more about it, but that seems to beg the question: what do you want to learn about this distribution? (Its properties are summarized at en.wikipedia.org/wiki/Negative_binomial_distribution, by the way.) – whuber Nov 22 '14 at 4:54
• It arose "naturally" from some research and just wondering if there's anything already out there because it seems fairly simple, otherwise I'll just have to do everything from scratch. I guess a name doesn't really matter at the end of the day. Thanks! – videlity Nov 22 '14 at 4:57