Maximum Likelihood Estimation, Nonregular
Published Online: 15 SEP 2006
Copyright © 2002 John Wiley & Sons, Ltd
Encyclopedia of Environmetrics
How to Cite
Holland, D. M. 2006. Maximum Likelihood Estimation, Nonregular. Encyclopedia of Environmetrics. 4.
- Published Online: 15 SEP 2006
For bounded probability distributions capable of J or U shapes, the log-likelihood function can become unbounded as the boundary parameters approach their respective limits. However, use of penalty function techniques that urge the maximum likelihood (ML) search away from the unbounded region can be used to circumvent this problem. Another approach to nonregular problems is ‘correcting’ the likelihood to estimate the model parameters. In an application to simulated data, this technique was found to be effective with quick convergence to parameter estimates.
- maximum likelihood;
- nonregular estimation;
- probability distribution