Some rememarks on locally most powerful unbiased tests for the detection of mixtures of poisson or binomial distributions
Byung‐Soo Kim · Communication in Statistics- Theory and Methods · 1988
In t h i s note mixture models are used to represent overdispersion relative to Poisson or binomial distributions. We flnd a sufflclent condition on the mixing distribution underich the detection of mixture departures from the Poisson or binomial adrnits a locally most powerful unbiased test. The conditions specify plynoria: relations between the variance and mean of Le glxing distribution.