New MLE algorithm and extended negative binomial parameterization that includes Poisson as a limit case, with proof that Poisson data yields consistent recovery of the true Poisson parameters.
NM(ω), Ne(ω)}, supk<M |F ˆθ(ω)(k)− Fλ(k)| ≤ ϵ 6 and 0<1−F ˆθ(ω)(M)≤1−F λ(M) +|F ˆθ(ω)(M)−F λ(M)| ≤ ϵ 6 + ϵ 6 = ϵ 3, which leads toD n(ω)≤ϵ
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From Poisson Observations to Fitted Negative Binomial Distribution
New MLE algorithm and extended negative binomial parameterization that includes Poisson as a limit case, with proof that Poisson data yields consistent recovery of the true Poisson parameters.