Alternative hypothesis | Variance under H_{0} | Variance under H_{A} |
---|---|---|
Mixture of Poisson | \(\lambda = \sum _{k}\pi _{k}\lambda _{k}\) | \(\sum _{k} \pi _{k} (\lambda _{k}+\lambda _{k}^{2})-(\sum _{k}\pi _{k}\lambda _{k})^{2}\) |
Negative Binomial | λ | \(\frac {\lambda ^{2}}{r} + \lambda \) |
Zero-inflated negative binomial | λ | \((1-\pi _{0})^{2} \left (\frac {\lambda ^{2}}{r} + \lambda \right)\) |