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 $0\lt s\lt1$.

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    $\begingroup$ 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.) $\endgroup$ – whuber Nov 22 '14 at 4:54
  • $\begingroup$ 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! $\endgroup$ – videlity Nov 22 '14 at 4:57