2 papers
math.ST2006
Strong consistency of MLE for finite mixtures of location-scale distributions when the scale parameters are exponentially small (full version)
Kentaro Tanaka, Akimichi Takemura
In a finite mixture of location-scale distributions maximum likelihood estimator does not exist because of the unboundedness of the likelihood function when the scale parameter of…
math.ST2004
Strong consistency of MLE for finite uniform mixtures when the scale parameters are exponentially small
Kentaro Tanaka, Akimichi Takemura
We consider maximum likelihood estimation of finite mixture of uniform distributions. We prove that maximum likelihood estimator is strongly consistent, if the scale parameters of…