Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering

1. On Some Facets of the Partition Set of a Finite Set
Israël César Lerman

2. Two Methods of Non-hierarchical Clustering
Israël César Lerman

3. Structure and Mathematical Representation of Data
Israël César Lerman

4. Ordinal and Metrical Analysis of the Resemblance Notion

Israël César Lerman

5. Comparing Attributes by Probabilistic and Statistical Association I
Israël César Lerman

6. Comparing Attributes by a Probabilistic and Statistical Association II
Israël César Lerman

7. Comparing Objects or Categories Described by Attributes
Israël César Lerman

8. The Notion of “Natural” Class, Tools for Its Interpretation. The Classifiability Concept
Israël César Lerman

9. Quality Measures in Clustering
Israël César Lerman

10. Building a Classification Tree
Israël César Lerman

11. Applying the LLA Method to Real Data
Israël César Lerman

12. Conclusion and Thoughts for Future Works
Israël César Lerman

Keywords: Computer Science, Data Mining and Knowledge Discovery, Statistics and Computing/Statistics Programs, Combinatorics