The fractional linear lower bound to the negative binomial generating function is valid for every x in [0,1].
Bounds for survival probabilities in supercritical Galton-Watson processes and applications to population genetics
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Addendum to: Bounds for survival probabilities in supercritical Galton-Watson processes and applications to population genetics
The fractional linear lower bound to the negative binomial generating function is valid for every x in [0,1].