The GMM Problem as One of the Estimation Methods of a Probability Density Function
In data analysis, we must be conscious of the probability density function of population distribution. Then it is a problem why the probability density function is expressed.
The estimation of a probability density function based on a sample of independent identically distributed observations is essential in a wide range of applications. The estimation method of probability density function – (1)a parametric method (2)a nonparametric method and (3)a semi-parametric method etc. – it is. In this paper, GMM problem is taken up as a semi-parametric method and We use a wavelet method as a powerful new technique. Compactly supported wavelets are particularly interesting because of their natural ability to represent data with intrinsically local properties.
KeywordsGMM wavelet probability density function Compactly supported kernel
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