Wrong Negative Binomial MGF #29

Achab94 · 2021-06-08T13:35:13Z

Hi,
The moment generating function of a Negative Binomial distribution is wrong (see 1.1 Discrete Distribution tables).
It should be the MGF of a Geometric distribution (which is indeed correct), raised to the r-th power.

Incorrect version:
$\left(\frac{p}{1-(1-p)e^s} \right)^r$

Corrected version:
$\left(\frac{p e^s}{1-(1-p)e^s} \right)^r$

Cheers :)

mavam · 2021-07-27T03:19:41Z

Correct! Thanks for the bug report and sorry that it took me so long to fix it.

mavam closed this as completed in a969564 Jul 27, 2021

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Wrong Negative Binomial MGF #29

Wrong Negative Binomial MGF #29

Achab94 commented Jun 8, 2021 •

edited

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mavam commented Jul 27, 2021

Wrong Negative Binomial MGF #29

Wrong Negative Binomial MGF #29

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Achab94 commented Jun 8, 2021 • edited Loading

mavam commented Jul 27, 2021

Achab94 commented Jun 8, 2021 •

edited

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