Given a negative binomial distribution parameterized by an unknown mean $\mu$ and known dispersion parameter $\alpha$ (so that the total variance is of the form $\mu + \alpha*\mu^2$), what is the minimum variance unbiased estimator for the mean $\mu$? And does this estimator obtain the Cramer-Rao lower bound?
2026-02-23 13:33:59.1771853639
Minimum Variance Unbiased Estimator for a Negative Binomial distribution
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