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Why does NB(p,r) has the same distribution as X1+X2+...+Xr, where

X1, X2,..., Xr are independent G(p) geometric random variables.

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Why does NB(p,r) has the same distribution as X1+X2+.+Xr, where X1, X2,., Xr are independent G(p) geometric random variables.
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