Binomial and Poisson Mixtures, Maximum Likelihood, and Maple Code

Journal Article · Sun Jan 01 00:00:00 EST 2006 · Far East Journal of Theoretical Statistics

OSTI ID:1003505

Bowman, Kimiko o ^[1]; Shenton, LR ^[2]

---

1. ORNL
2. University of Georgia, Athens, GA

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.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: Work for Others (WFO)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 1003505
• Journal Information: Far East Journal of Theoretical Statistics, Vol. 20, Issue 1
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
MAXIMUM-LIKELIHOOD FIT
ASYMMETRY
DISTRIBUTION
PROBABILITY
STATISTICS