Binomial and Poisson Mixtures, Maximum Likelihood, and Maple Code
Kimiko o Bowman, L. R. Shenton · Far East Journal of Theoretical Statistics · 2006
The bias, variance, and skewness of maximum likelihoood estimators are considered for binomial and Poisson mixture distributions. The moments considered are asymptotic, and they are assessed using the Maple code. Question of existence of solutions and Karl Pearson's study are mentioned, along with the problems of valid sample space. Large samples to reduce variances are not unusual; this also applies to the size of the asymptotic skewness.