The S-distribution is a four-parameter distribution that is defined in terms of a differential equation, in which the cumulative is represented as the dependent variable: The article proposes a maximum likelihood estimator for the shape parameters of this distribution.
A Comment on Maximum Likelihood Estimation for Finite Mixtures of Distributions
β Scribed by Dr. K. P. Burnham
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 273 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
β¦ Synopsis
Iterative numerical methods are necessary t o find the maximum likelihood estimates for finite mixture distributions. This paper shows that it will often be possible to analytitally reduce the number of equations that must ultimately be solved numerically. Such a reduction in dimensionality has not generally been used, or sought after, for mixture distributions. Yet such results are easily derived when each mixture ,component is assumed to be from the same parametric model within the exponential family. ,
π SIMILAR VOLUMES
## Abstract Computations attributed to the Malinowski __F__βtest are incorrect because they were based on determining the equality of secondary eigenvalues instead of the equality of reduced eigenvalues as prescribed in the original work of Malinowski. When the correct expression was employed, the