Pseudo maximum likelihood estimation (PML) for the Dirichlet-multinomial distribution is proposed and examined in this paper. The procedure is compared to that based on moments (MM) for its asymptotic relative efficiency (ARE) relative to the maximum likelihood estimate (ML). It is found that PML, requiring much less computational effort than ML and possessing considerably higher ARE than MM, constitutes a good compromise between ML and MM. PML is also found to have very high ARE when an estimate for the scale parameter in the Drichlet-multinomial distribution is all that is needed.
- Dirichlet-multinomial distribution
- asymptotic relative efficiency
- maximum likelihood estimation
- moment estimation
- pseudo maximum likelihood estimation
ASJC Scopus subject areas
- Statistics and Probability