Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1150107 | Journal of Statistical Planning and Inference | 2011 | 9 Pages |
Abstract
The consistency of estimators in finite mixture models has been discussed under the topology of the quotient space obtained by collapsing the true parameter set into a single point. In this paper, we extend the results of Cheng and Liu (2001) to give conditions under which the maximum likelihood estimator (MLE) is strongly consistent in such a sense in finite mixture models with censored data. We also show that the fitted model tends to the true model under a weak condition as the sample size tends to infinity.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yoichi Miyata,