A hybrid EM/Gauss-Newton algorithm for maximum likelihood in mixture distributions
β Scribed by Murray Aitkin; Irit Aitkin
- Book ID
- 104650034
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 344 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0960-3174
No coin nor oath required. For personal study only.
β¦ Synopsis
A faster alternative to the EM algorithm in finite mixture distributions is described, which alternates EM iterations with Gauss Newton iterations using the observed information matrix. At the expense of modest additional analytical effort in obtaining the observed information, the hybrid algorithm reduces the computing time required and provides asymptotic standard errors at convergence. The algorithm is illustrated on the two-component normal mixture.
π SIMILAR VOLUMES
Both a mixture likelihood method and the EM algorithm are implemented to estimate the time-toonset-of and the time-to-death-from the tumor of interest in animal carcinogenicity studies. Both methods are implemented using Box's Complex Method for ΓΏnding the maximum likelihood estimates of parameters