Maximum likelihood estimation often fails when the parameter takes values in an infinite dimensional space. For example, the maximum likelihood method cannot be applied to the completely nonparametric estimation of a density function from an iid sample; the maximum of the likelihood is not attained by any density. In this example, as in many other examples, the parameter space (positive functio...

The aim of this paper is to describe a constructive method for generating linear parameter spaces that have a certain desirable invariance property, called “extendibility”. Extendibility of the parameter space is defined as the unambiguity of extensions of the parameter space as a result of inherent symmetries underlying the structure of the covariates or statistical units. Common extensions ar...

This paper presents a multiple templates matching algorithm based on feature space trace, which is used in speaker recognition. It extracts the cepstrum coefficient as feature parameter. We normalize the sequence of feature parameter based on feature space trace. The fuzzy c-means method is adopted in generating the multiple templates and the multiple matching method is applied to match the tem...

A high-speed method for line detection is proposed in this paper. By shifting the black points in a black/white image 1, a parallel line for each straight line on I will be generated. Through the use of the geometric property on a pair of parallel lines, the parameter sets of those lines possibly on I can be obtained immediately. Since the transform from image space to parameter space is one to...