Simple histogram modeling examples
Foreword
This notebook gives examples of histogram-based statistical modeling and classification, and assumes that the definitions in the notebook "statistical_modeling.nb" have already been evaluated. All user input sections have been highlighted as cell boxes.
Histogram modeling is a form of non-parametric modeling. Histogram models are very simple.They first quantize the space of possible data vectors into different regions (bins) and then simply compute the frequency of occurrence in the training data for each region.Vector-quantization,a data-based method of quantizing a real space into discrete regions,often accompanies histogram-based statistical models,although other quantization schemes are also possible.
Global user definitions
Example A: Uniform distributions
Example B different uniform distributions
Example C: Gaussian distributions
Example D: different Gaussian distributions
Created by Mathematica (October 9, 2003)