1st Edition

Mathematical Gnostics Advanced Data Analysis for Research and Engineering Practice

By Pavel Kovanic Copyright 2023
342 Pages 98 B/W Illustrations
by CRC Press

342 Pages 98 B/W Illustrations
by CRC Press

342 Pages 98 B/W Illustrations
by CRC Press

The book describes the theoretical principles of nonstatistical methods of data analysis but without going deep into complex mathematics. The emphasis is laid on presentation of solved examples of real data either from authors' laboratories or from open literature. The examples cover wide range of applications such as quality assurance and quality control, critical analysis of experimental data,... Read more
1. Introductory Kindergarten. 2. Axioms. 3. Introduction to Non-Standard Thought. 4. Quantification. 5. Estimation and Ideal Gnostic Cycle. 6. Geometry. 7. Aggregation. 8. Thermodynamics of Uncertain Data. 9. Kernel estimation. 10. Probability Distribution Functions. 11. Applications of Local Distributions. 12. On the Notion of Normality. 13. Applications of Global Distribution Functions. 14. Data Censoring. 15. Gnostic Thermodynamic Analysis of Data Uncertainty. 16. Robust Estimation of a Constant. 17. Measuring the Data Uncertainty. 18. Homo- or Heteroscedastic Data. 19. Gnostic Multidimensional Regression Models. 20. Data Filtering. 21. Decision Making in Mathematical Gnostics. 22. Comparisons. 23. Advanced Production Quality Control. 24. Robust Correlation. 25. General Relations.

Biography

Pavel Kovanic (Born 1928) 1950-1955: Studied high voltage technology on the Technical University in Sverdlovsk (recently Ekaterinburg, Russia). 1956-1970: Researcher, head of a scientific department at the Nuclear Research Institute of the Czechoslovak Academy of Sciences. 1970-1995: Scientist at the Institute of the Automation and Theory of Information of the Czech Academy of Sciences. 1995-2018: As a retired scientist participated as a scientific consultant on several research projects including grants of European Union.