Gamma Distribution Position of rthr^{th}rth random point. f(x)=λrΓ(r)xr−1e−λx1[0,∞)(x)f(x)=\frac{\lambda^r}{\Gamma(r)} x^{r-1} e^{-\lambda x} 1_{[0, \infty)}(x)f(x)=Γ(r)λrxr−1e−λx1[0,∞)(x) Gamma Function r-fold sum of independent Exponential Distributions with parameter λ\lambdaλ. We have ∥FNB(r,p)−FΓ(r,p)∥∞≤rp1−p\left\|F_{N B(r, p)}-F_{\Gamma(r, p)}\right\|_{\infty} \leq r \frac{p}{1-p}FNB(r,p)−FΓ(r,p)∞≤r1−pp