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)