I came across this distribution,
$$\left(\begin{smallmatrix} x & - & 1\\ n & - & 1 \end{smallmatrix}\right) p^n(1-p)^{x-n}. \hspace{1cm}x=n, n+1,...,$$
Initially, it looked like Binomial Distribution but when I started working out, I found out that it is not Binomial distribution. After some googling, I think it is hypo-geometric distribution. I'm not sure though.
i) What distribution is this function?
ii) What is the estimator of this function? Should I apply Log-Likelihood or Maximum Likelihood?